Elements of applied bifurcation theory

Bifurcation theory for ordinary differential equations (34C23) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory (37-01) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Numerical bifurcation problems (65P30) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

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potassium neuron model, Families of vector fields with many numerical invariants, Operon dynamics with state dependent transcription and/or translation delays, Dynamics of consumer-resource systems with consumer's dispersal between patches, Propagating fronts for a viscous Hamer-type system, Separate variable blow-up patterns for a reaction-diffusion equation with critical weighted reaction, Stability and bifurcations analysis in an ecoepidemic system with prey group defense and two infectious routes, Global dynamics of hybrid van der Pol-Rayleigh oscillators, Rigorous verification of Hopf bifurcations in functional differential equations of mixed type, Andronov-Hopf and Neimark-Sacker bifurcations in time-delay differential equations and difference equations with applications to models for diseases and animal populations, Symbolic computation for the qualitative theory of differential equations, Limit cycles analysis and control of evolutionary game dynamics with environmental feedback, Using the logistic map as compared to the cubic map to show the convergence and the relaxation of the period-1 fixed point, The role of vigilance on a discrete-time predator-prey model, Nonlinear effects of instantaneous and delayed state dependence in a delayed feedback loop, Phase portraits of the Selkov model in the Poincaré disc, Chaotic switching in driven-dissipative Bose-Hubbard dimers: when a flip bifurcation meets a T-point in $\mathbb{R}^4 $, Stability and Hopf bifurcation analysis for a Lac operon model with nonlinear degradation rate and time delay, A small-scale agent-based model of institutional and technological change, Rotational symmetry and rotating waves in planar integro-difference equations, Bifurcations, Biological control in a simple ecological model via subcritical Hopf and Bogdanov-Takens bifurcations, Model reduction of a cyclic symmetric structure exhibiting geometric nonlinearity with a normal form approach, Bifurcation analysis of 3D-PWS systems with two transversal switching boundaries: a case study in power electronics, Canards, relaxation oscillations, and pattern formation in a slow-fast ratio-dependent predator-prey system, Hopf bifurcation at infinity in 3D relay systems, Appearance of closed invariant curves in a piecewise Cournot model with advertising, Dynamics analysis for a discrete dynamic competition model, Analysis of a class of Lotka-Volterra systems, Bifurcation features, chaos, and coherent structures for one-dimensional nonlinear electrical transmission line, A geometric approach to bubbling, Discrete Conley index and bifurcation points, Nonlinear day-to-day traffic dynamics with driver experience delay: modeling, stability and bifurcation analysis, Evolution of pathogen virulence under selective predation: a construction method to find eco-evolutionary cycles, Regularization of saddle-fold singularity for nonsmooth differential systems, Interplay of functional responses and weak Allee effect on pest control via viral infection or natural predator: an eco-epidemiological study, Point-cycle bistability and stochasticity in a regulatory circuit for \textit{Bacillus Subtilis} competence, Chaotic Behavior of a Generalized Sprott E Differential System, Quasi-Periodic Bifurcations of Higher-Dimensional Tori, Complex Dynamics in the Unified Lorenz-Type System, Improved Homoclinic Predictor for Bogdanov–Takens Bifurcation, Bifurcations of Two-Dimensional Global Invariant Manifolds near a Noncentral Saddle-Node Homoclinic Orbit, Multi-parameter bifurcations of the Kaldor-Kalecki model of business cycles with delay, Global analysis in Bazykin's model with Holling II functional response and predator competition, The optimal lockdown intensity for COVID-19, Spots, stripes, and spiral waves in models for static and motile cells. GTPase patterns in cells, Multifrequency Hebbian plasticity in coupled neural oscillators, A Ricker-type predator-prey system with hunting cooperation in discrete time, Role of Allee effect in prey and hunting cooperation in a generalist predator, Analytic and algebraic conditions for bifurcations of homoclinic orbits II: Reversible systems, Delayed carrying capacity induced subcritical and supercritical Hopf bifurcations in a predator-prey system, Hopf bifurcation and bautin bifurcation in a prey-predator model with prey's fear cost and variable predator search speed, An algorithmic approach to small limit cycles of nonlinear differential systems: the averaging method revisited, On the limits of the Volterra function in the Lyapunov method: the Anderson-May-Gupta model as a cautionary example, On the Classical Lorenz System, Four-dimensional zero-Hopf bifurcation of quadratic polynomial differential system, via averaging theory of third order, Bifurcation analysis of a Kolmogorov type tritrophic model, Complex dynamics of Kopel model with nonsymmetric response between oligopolists, Stationary and non-stationary pattern formation over fragmented habitat, Canards, heteroclinic and homoclinic orbits for a slow-fast predator-prey model of generalized Holling type III, Computation of centre manifolds and some codimension-one bifurcations for impulsive delay differential equations, Chimera states under genuine local coupling, Codimension-one and -two bifurcation analysis of a two-dimensional coupled logistic map, The use of normal forms for analysing nonlinear mechanical vibrations, Numerical continuation and bifurcation analysis in aircraft design: an industrial perspective, Bifurcation analysis of a modified May-Holling-Tanner predator-prey model with Allee effect, The Rosenzweig-MacArthur graphical criterion for a predator-prey model with variable mortality rate, Global bifurcations in a dynamical model of recurrent neural networks., Prey-predator dynamics with two predator types and Michaelis-Menten predator harvesting, Qualitative and numerical analysis of the Rössler model: bifurcations of equilibria, Nonintegrability of dynamical systems near degenerate equilibria, Practical computation of normal forms of the Bogdanov-Takens bifurcation, Dangerous Bifurcations Revisited, Dynamical properties and simulation of a new Lorenz-like chaotic system, On a simple model for describing convection of the rotating fluid: integrability, bifurcations and global dynamics, Traveling pulses and their bifurcation in a diffusive Rosenzweig-MacArthur system with a small parameter, A stage structured predator-prey model with periodic orbits, Zero-Hopf singularity for general delayed differential equations, NONLINEAR VIBRATION ANALYSIS FOR AN AIRFLOW-EXCITED TRANSLATING STRING, Some new insights into the Liu system, Epidemic thresholds identification of susceptible-infected-recovered model based on the eigen microstate, Experimental Tracking of Limit-Point Bifurcations and Backbone Curves Using Control-Based Continuation, An investigation of the bifurcation behavior of an F-18 aircraft model, Bifurcations and dynamics of a discrete predator-prey model of Ricker type, Numerical integration of high-order variational equations of ODEs, Zero-Hopf bifurcation in a hyperchaotic Lorenz system, Local stability implies global stability for the planar Ricker competition model, Biological control of a predator-prey system through provision of a super predator, The scattering map in two coupled piecewise-smooth systems, with numerical application to rocking blocks, Parallel dynamical systems over directed dependency graphs, A new class of problems in the calculus of variations, Analysis of an asymmetric two-strain dengue model, Bifurcation analysis of a family of multi-strain epidemiology models, Double Hopf bifurcation in a container crane model with delayed position feedback, A dynamical model of tumour immunotherapy, Bifurcation analysis of piecewise smooth ecological models, Heteroclinic orbits indicate overexploitation in predator-prey systems with a strong Allee effect, Effects of density-dependent migrations on stability of a two-patch predator-prey model, Center projections for smooth difference equations of mixed type, Unnamed Item, Bifurcation to heteroclinic cycles and sensitivity in three and four coupled phase oscillators, Invariant manifolds in dissipative dynamical systems, Global analysis of planar neural networks, Epidemiology of Dengue Fever: A Model with Temporary Cross-Immunity and Possible Secondary Infection Shows Bifurcations and Chaotic Behaviour in Wide Parameter Regions, Invasion Generates Periodic Traveling Waves (Wavetrains) in Predator-Prey Models with Nonlocal Dispersal, Zero-Hopf bifurcation in the FitzHugh-Nagumo system, Bifurcations of Central Configurations in the Four-Body Problem with Some Equal Masses, Population dynamics of a two-stage migratory species with predation and capture, Bifurcations and global dynamics in a predator-prey model with a strong Allee effect on the prey, and a ratio-dependent functional response, Time varying radial basis functions, Codimension-Two Bifurcation Analysis in DC Microgrids Under Droop Control, Bifurcation analysis of periodic orbits of a non-smooth Jeffcott rotor model, Hopf bifurcation of a generalized Moon-Rand system, Necessary and sufficient condition for the global stability of a delayed discrete-time single neuron model, Scientific heritage of L. P. Shilnikov, Border-Collision Bifurcations in $\mathbb{R}^N$, Bifurcations and chaos in a two-dimensional discrete Hindmarsh-Rose model, Bifurcation Analysis of the Nagumo–Sato Model and Its Coupled Systems, Oscillatory Survival Probability: Analytical and Numerical Study of a Non-Poissonian Exit Time, Bifurcation Control and Universal Unfolding for Hopf-Zero Singularities with Leading Solenoidal Terms, Hopf bifurcation, cascade of period-doubling, chaos, and the possibility of cure in a 3D cancer model, A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps, Initialization of Homoclinic Solutions near Bogdanov--Takens Points: Lindstedt--Poincaré Compared with Regular Perturbation Method, Macro- and micro-chaotic structures in the Hindmarsh-Rose model of bursting neurons, Unbounded dynamics in dissipative flows: Rössler model, Creep damage modelling for quasi-brittle materials, Unnamed Item, Bifurcation Analysis and Application for Impulsive Systems with Delayed Impulses, Nonidentical Coupled Networks with a Geographical Model for Human Behaviors During Catastrophic Events, Resonance and Singularities, Construction of Bifurcation Diagrams Using POD on the Fly, The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability, Inclusion of Biological and Chemical Self-Heating Processes in Compost Piles Model: A Semenov Formulation, Influencia del efecto Allee débil en las presas en un modelo de depredación del tipo Leslie-Gower con respuesta funcional sigmoidea, Complex Dynamics on a Discrete Tritrophic Model of Leslie Type with General Functional Responses, Computing Morse decomposition of ODEs via Runge-Kutta method, Self-sustainment of coherent structures in counter-rotating Taylor–Couette flow, About Bifurcational Parametric Simplification, Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen--Cahn Equation, How Does Nonlocal Dispersal Affect the Selection and Stability of Periodic Traveling Waves?, Parameter-robustness analysis for a biochemical oscillator model describing the social-behaviour transition phase of myxobacteria, Extensional channel flow revisited: a dynamical systems perspective, Complex dynamics in a stratified lid-driven square cavity flow, Analysis and control of the dynamical response of a higher order drifting oscillator, Dynamics of a Harvested Prey–Predator Model with Prey Refuge Dependent on Both Species, A phase-plane analysis of localized frictional waves, Local bifurcations in differential equations with state-dependent delay, Bifurcations and Control in a Discrete Predator–Prey Model with Strong Allee Effect, Time-varying economic dominance in financial markets: A bistable dynamics approach, Bifurcation of Mixed Mode Reaction–Diffusion Patterns in Spherical Caps, Analysis of Oscillatory Patterns of a Discrete-Time Rosenzweig–MacArthur Model, Validity of amplitude equations for nonlocal nonlinearities, The Lateral Dynamics of a Nonsmooth Railway Wheelset Model, Analysis and Predictability of Tipping Points with Leading-Order Nonlinear Term, Qualitative analysis of a predator–prey model with rapid evolution and piecewise constant arguments, Controlling systems that drift through a tipping point, Detection of bifurcations in noisy coupled systems from multiple time series, The effect of slow spatial processes on emerging spatiotemporal patterns, Driven synchronization in random networks of oscillators, Exact period-four solutions of a family of n-dimensional quadratic maps via harmonic balance and Gröbner bases, Periodic Traveling Waves Generated by Invasion in Cyclic Predator--Prey Systems: The Effect of Unequal Dispersal, Effect of Higher Order Terms on the Bifurcation Structure of Coupled Rulkov Neurons, Bifurcation Analysis of Hysteretic Systems with Saddle Dynamics, Bifurcation dynamics of the tempered fractional Langevin equation, Nonintegrability of the unfolding of the fold-Hopf bifurcation, Detecting Tipping points in Ecological Models with Sensitivity Analysis, Stabilizing Role of Nonlocal Interaction on Spatio-temporal Pattern Formation, Complex Dynamics in a Triopoly Game with Multiple Delays in the Competition of Green Product Level, Unnamed Item, Spatio-Temporal Pattern Formation in Holling–Tanner Type Model with Nonlocal Consumption of Resources, Symmetries in the Lorenz-96 Model, Three-Dimensional Bifurcation Analysis of a Predator-Prey Model with Uncertain Formulation, Antimonotonicity, Bifurcation and Multistability in the Vallis Model for El Niño, Generalized Mandelbrot and Julia Sets in a Family of Planar Angle-Doubling Maps, On a One-Parameter Discrete-Time Z4-Equivariant Cubic Dynamical System, Global stability for the 2-dimensional logistic map, Dynamics of a predator-prey system with a mate-finding Allee effect on prey, On the 3-dimensional Hopf bifurcation via averaging theory of third order, Global dynamics and bifurcation analysis of a host–parasitoid model with strong Allee effect, A comparative study of integrated pest management strategies based on impulsive control, Hopf and Bautin Bifurcation in a Tritrophic Food Chain Model with Holling Functional Response Types III and IV, Homoclinic organization in the Hindmarsh–Rose model: A three parameter study, Chaotic attractors in Atkinson–Allen model of four competing species, A comparative analysis of host–parasitoid models with density dependence preceding parasitism, A didactical note on the advantage of using two parameters in Hopf bifurcation studies, Multi-Stability, Limit Cycles, and Period-Doubling Bifurcation with Reaction Systems, Periodicity and Chaos Amidst Twisting and Folding in Two-Dimensional Maps, On Hopf bifurcation of Liu chaotic system, Rare slips in fluctuating synchronized oscillator networks, Revealing instabilities in a generalized triadic supply network: A bifurcation analysis, Codimension one and two bifurcations of a discrete stage-structured population model with self-limitation, PERSISTENCE AND VOLATILITY OF BEVERIDGE CYCLES, Numerical bifurcation analysis of double +1 multiplier in ℤ₃-symmetric maps, Revisiting the Teixeira Singularity Bifurcation Analysis: Application to the Control of Power Converters, Heteroclinic Trajectory and Hopf Bifurcation in an Extended Lorenz System, Stability and Bifurcation Analysis of a Delayed Discrete Predator–Prey Model, Bifurcations and Hyperchaos in Magnetoconvection of Non-Newtonian Fluids, Degenerate Chenciner Bifurcation Revisited, Bifurcations in Twinkling Patterns for the Lengyel–Epstein Reaction–Diffusion Model, Neimark–Sacker bifurcation analysis in an intraguild predation model with general functional responses, Asymptotically stable heteroclinic cycles in discrete-time -equivariant cubic dynamical systems, Two components is too simple: an example of oscillatory Fisher–KPP system with three components, The integrability and the zero-Hopf bifurcation of the three dimensional Lotka-Volterra systems, A Calculation Method on Bifurcation and State Parameter Sensitivity Analysis of Piecewise Mechanical Systems, Another New Chaotic System: Bifurcation and Chaos Control, Bistability and hidden attractors in the paradigmatic Rössler’76 system, You can create your own bifurcation, Convective plumes in rotating systems, Computation of Bifurcation Margins Based on Robust Control Concepts, Tipping Phenomena and Points of No Return in Ecosystems: Beyond Classical Bifurcations, Pseudospectral Approximation of Hopf Bifurcation for Delay Differential Equations, High-Order Approximation of Heteroclinic Bifurcations in Truncated 2D-Normal Forms for the Generic Cases of Hopf-Zero and Nonresonant Double Hopf Singularities, Bifurcations and chaos control in a discrete-time biological model, Canard explosion, homoclinic and heteroclinic orbits in singularly perturbed generalist predator–prey systems, The zero-Hopf bifurcations of a four-dimensional hyperchaotic system, Bifurcation analysis and hybrid control of a discrete-time predator–prey model, Parametric instabilities of a stratified shear layer, A qualitative mathematical model of the immune response under the effect of stress, COMPETITION AND COOPERATION ON PREDATION: BIFURCATION THEORY OF MUTUALISM, Numerical bifurcation analysis of a nonlinear stage structured cannibalism population model, Accurate Mathematical Model of Two-Dimensional Parametric Systems Based on $$2\times 2$$ Matrix, SINGULAR ORBITS AND DYNAMICS AT INFINITY OF A CONJUGATE LORENZ-LIKE SYSTEM, Deterministic modeling of the diffusive memristor, Uncertainty Quantification of Bifurcations in Random Ordinary Differential Equations, A Stochastic Hierarchical Population System: Excitement, Extinction and Transition to Chaos, Complex Dynamics of a Four-Dimensional Circuit System, On the frequency selection mechanism of the low-Re flow around rectangular cylinders, Detection of high codimensional bifurcations in variational PDEs, Cell Cycle Regulation. Bifurcation Theory, Bifurcation of critical sets and relaxation oscillations in singular fast-slow systems, Numerical Bifurcation Analysis in 3D Kolmogorov Flow Problem, Pattern Formation in a Prey-Predator Model with Nonlocal Interaction Terms, Bifurcations in a Periodically Stimulated Limit Cycle Oscillator with Finite Relaxation Times, Boundary-confined waves in a librating cube, Steady states and dynamics of a thin-film-type equation with non-conserved mass, On the birth and death of algebraic limit cycles in quadratic differential systems, Resonance, symmetry, and bifurcation of periodic orbits in perturbed Rayleigh–Bénard convection, DYNAMICS OF ANTI-PREDATOR BEHAVIOR AND EFFECT OF FEAR ON PREY–PREDATOR MODEL, New Approach of Recurrent Neural Network Weight Initialization, Codimension-Two Bifurcations and Bifurcation Controls in a Discrete Biological System with Weak Allee Effect, Rocard’s 1941 Chaotic Relaxation Econometric Oscillator, Stability of the equilibria in a discrete-time sivs epidemic model with standard incidence, Modeling Allee Effect in the Leslie-Gower Predator–Prey System Incorporating a Prey Refuge, HOPF BIFURCATION ANALYSIS OF A FRACTIONAL-ORDER HOLLING–TANNER PREDATOR-PREY MODEL WITH TIME DELAY, Dynamics of a Stage-Structured-Prey and Predator Model with Linear Harvesting of Mature Prey and Predator, The local cyclicity problem: Melnikov method using Lyapunov constants, Unnamed Item, Adaptively Adjusted Beliefs About Prices in an Evolutive Muthian Cobweb Model, Analysis of noise-induced transitions in a generalized logistic model with delay near Neimark–Sacker bifurcation, Resonance Phenomena in a Scalar Delay Differential Equation with Two State-Dependent Delays, Non-trivial wandering domains for heterodimensional cycles, Oscillation thresholds via the novel MBR method with application to oncolytic virotherapy, Approximations of the Homoclinic Orbits Near a Double-Zero Bifurcation with Symmetry of Order Two, Infinitely Many Heteroclinic Orbits of a Complex Lorenz System, Fully nonlinear mode competition in magnetised Taylor–Couette flow, On the Bifurcation Structure of a Leslie–Tanner Model with a Generalist Predator, Periodic Orbit Bifurcations in Planar Hysteretic Systems without Equilibria, Numerical Detection and Analysis of Strong Resonance Bifurcations with a Reflection Symmetry and Some Applications in Economics and Neural Networks, BIFURCATION ANALYSIS OF A LOGISTIC PREDATOR–PREY SYSTEM WITH DELAY, Bogdanov–Takens and Triple Zero Bifurcations of Coupled van der Pol–Duffing Oscillators with Multiple Delays, On bifurcations of delay single species discrete time population models, Complete Classification of the Macroscopic Behavior of a Heterogeneous Network of Theta Neurons, Constructing a New 3D Chaotic System with Any Number of Equilibria, A Neural Mass Model with Direct and Indirect Excitatory Feedback Loops: Identification of Bifurcations and Temporal Dynamics, Periodic Forcing of Inhibition-Stabilized Networks: Nonlinear Resonances and Phase-Amplitude Coupling, Bifurcation of Relative Equilibria in Infinite-Dimensional Hamiltonian Systems, Parametrically forced stably stratified cavity flow: complicated nonlinear dynamics near the onset of instability, Properties of the Chemostat Model with Aggregated Biomass and Distinct Removal Rates, Dynamics of a Mathematical Hematopoietic Stem-Cell Population Model, The organizing centre for the flow around rapidly spinning cylinders, The asymptotic formulae in the problem on constructing hyperbolicity and stability regions of dynamical systems, Dynamics of a High-Order Generalized Lorenz Model for Magnetoconvection, The Yamada Model for a Self-Pulsing Laser: Bifurcation Structure for Nonidentical Decay Times of Gain and Absorber, New structurally unstable families of planar vector fields, HOPF BIFURCATION AND NEW SINGULAR ORBITS COINED IN A LORENZ-LIKE SYSTEM, Analysis of Zero-Hopf Bifurcation in Two Rössler Systems Using Normal Form Theory, Bifurcation Analysis of a Prey–Predator Model with Beddington–DeAngelis Type Functional Response and Allee Effect in Prey, Analysis of Degenerate Chenciner Bifurcation, Codimension-Two Bifurcation Analysis on a Discrete Gierer–Meinhardt System, COMPLEX DYNAMICS OF A SIMPLE 3D AUTONOMOUS CHAOTIC SYSTEM WITH FOUR-WING, Global stability for the three-dimensional logistic map, Oscillatory Behavior of a Delayed Ratio-Dependent Predator–Prey System with Michaelis–Menten Functional Response, Necessary and sufficient conditions for the roots of a cubic polynomial and bifurcations of codimension-1, -2, -3 for 3D maps, Bifurcations of Heteroclinic Contours in Two-Parameter Planar Systems: Overview and Explicit Examples, Global Bifurcation of Periodic Solutions in Symmetric Reversible Second Order Systems with Delays, Inverse-square law between time and amplitude for crossing tipping thresholds, Hopf Bifurcation and Time Periodic Orbits with pde2path – Algorithms and Applications, Lock-in and quasiperiodicity in a forced hydrodynamically self-excited jet, Limit cycles bifurcating from a non-isolated zero-Hopf equilibrium of three-dimensional differential systems, Stripe and Spot Patterns for General Gierer–Meinhardt Model with Common Sources, Saddle Invariant Objects and Their Global Manifolds in a Neighborhood of a Homoclinic Flip Bifurcation of Case B, Stability and bifurcation in a discrete-time predator–prey model, Homoclinic saddle to saddle-focus transitions in 4D systems, Double Hopf bifurcation in corotating spiral Poiseuille flow, Unnamed Item, Introduction to the 2009 re-publication of the ‘Neimark–Sacker bifurcation theorem’, THE LABOUR MARKET AND TECHNICAL CHANGE IN ENDOGENOUS CYCLES, Role of the Virtual Fixed Point in the Center Bifurcations in a Family of Piecewise Linear Maps, Hopf Bifurcations, Periodic Windows and Intermittency in the Generalized Lorenz Model, Dynamics of a Discrete Prey–Predator Model with Mixed Functional Response, Chaotic attractors from border-collision bifurcations: stable border fixed points and determinant-based Lyapunov exponent bounds, Flip bifurcation and Neimark–Sacker bifurcation in a discrete predator–prey model with harvesting, Nonintegrability of the unfoldings of codimension-two bifurcations, Dynamical analysis of a cubic Liénard system with global parameters (III), Switching to Nonhyperbolic Cycles from Codimension Two Bifurcations of Equilibria of Delay Differential Equations, High-Order Analysis of Global Bifurcations in a Codimension-Three Takens–Bogdanov Singularity in Reversible Systems, Unnamed Item, A discrete-time model with non-monotonic functional response and strong Allee effect in prey, Random switching near bifurcations, Topological Climate Change, Dynamics in a Plankton Model with Toxic Substances and Phytoplankton Harvesting, Bifurcation in the almost periodic Ricker map, Approximations of the Heteroclinic Orbits Near a Double-Zero Bifurcation with Symmetry of Order Two. Application to a Liénard Equation, Rapidly rotating precessing cylinder flows: forced triadic resonances, Nested Closed Invariant Curves in Piecewise Smooth Maps, Automatic Detection of Saddle-Node–Transcritical Interactions, Weakly nonlinear mode interactions in spherical Rayleigh–Bénard convection, Cost-Effective Robust Stabilization and Bifurcation Suppression, Pattern Formation and Oscillatory Dynamics in a Two-Dimensional Coupled Bulk-Surface Reaction-Diffusion System, Slow–fast systems and sliding on codimension 2 switching manifolds, Numerical Optimization Method for Determination of Bifurcation Points and its Application in Stability Analysis of Power System, Remarks on homoclinic structure in Bogdanov-Takens map, Bistability and hysteresis of axisymmetric thermal convection between differentially rotating spheres, Dynamics of a Four-Dimensional System with Cubic Nonlinearities, Quasi-Periodic Motion and Hopf Bifurcation of a Two-Dimensional Aeroelastic Airfoil System in Supersonic Flow, BIFURCATION ANALYSIS OF A TWO-DIMENSIONAL PREDATOR–PREY MODEL WITH HOLLING TYPE IV FUNCTIONAL RESPONSE AND NONLINEAR PREDATOR HARVESTING, Transformations of Closed Invariant Curves and Closed-Invariant-Curve-Like Chaotic Attractors in Piecewise Smooth Systems, Minimal Universal Model for Chaos in Laser with Feedback, A THREE-DIMENSIONAL NONLINEAR SYSTEM WITH A SINGLE HETEROCLINIC TRAJECTORY, Parametric Control to Avoid Bifurcation Based on Maximum Local Lyapunov Exponent, A Degenerate 2:3 Resonant Hopf--Hopf Bifurcation as Organizing Center of the Dynamics: Numerical Semiglobal Results, Continuation with Noninvasive Control Schemes: Revealing Unstable States in a Pedestrian Evacuation Scenario, Order and Disorder in a Cyclically Competitive Ecological Community, Discrete geometric singular perturbation theory, Transitions of zonal flows in a two-layer quasi-geostrophic ocean model, Nonintegrability of truncated Poincaré-Dulac normal forms of resonance degree two, Adaptive dynamical networks, Cannibalistic enemy-pest model: effect of additional food and harvesting, Using Symbolic Computation to Analyze Zero-Hopf Bifurcations of Polynomial Differential Systems, Bifurcation analysis of an extended Klausmeier–Gray–Scott model with infiltration delay, Stability analysis of nonlinear glue flow system with delay, Hysteresis and Stability, Bifurcations and spectral stability of solitary waves in coupled nonlinear Schrödinger equations, Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients, Coupling mountain pine beetle and forest population dynamics predicts transient outbreaks that are likely to increase in number with climate change, Attractors of a Weakly Dissipative System Allowing Transition to the Stochastic Web in the Conservative Limit, Modeling the dynamics of information propagation in the temporal and spatial environment, Topological dynamic consistency of numerical methods for dynamical models in biosciences, Dynamics of a predator-prey system with inducible defense and disease in the prey, Rate-induced tipping: thresholds, edge states and connecting orbits, Substrate inhibition can produce coexistence and limit cycles in the chemostat model with allelopathy, On Zhang-Yang's open question about iterative roots of PM functions of height 1. I: Increasing case, The smallest bimolecular mass-action system with a vertical Andronov-Hopf bifurcation, Generalized Hopf bifurcation of a non-smooth railway wheelset system, Codimension one and codimension two bifurcations in a discrete Kolmogorov type predator-prey model, Approximate boundaries of resonance tongue for planar maps, Double Hopf bifurcation induced by spatial memory in a diffusive predator-prey model with Allee effect and maturation delay of predator, Dynamical analysis of a three-species discrete biological system with scavenger, New insights on non-integrability and dynamics in a simple quadratic differential system, Bifurcation analysis in a discrete toxin-producing phytoplankton–zooplankton model with refuge, Resonant double Hopf bifurcation in a diffusive Ginzburg-Landau model with delayed feedback, Local stability and Hopf bifurcations analysis of the Muthuswamy-Chua-Ginoux system, Complex dynamics of a predator–prey model with opportunistic predator and weak Allee effect in prey, Saddle-node bifurcation and Bogdanov-Takens bifurcation of a SIRS epidemic model with nonlinear incidence rate, Stationary and oscillatory patterns of a food chain model with diffusion and predator‐taxis, Bifurcation, geometric constraint, chaos, and its control in a railway wheelset system, Bifurcation analysis of a predator–prey model with Beddington–DeAngelis functional response and predator competition, Periodic and chaotic dynamics in a map‐based neuron model, Reduced and bifurcation analysis of intrinsically bursting neuron model, Asymptotic stability, bifurcation analysis and chaos control in a discrete evolutionary ricker population model with immigration, Codimension-two bifurcations of a two-dimensional discrete time Lotka-Volterra predator-prey model, SIR model with vaccination: bifurcation analysis, Qualitative structure of a discrete predator-prey model with nonmonotonic functional response, Some minimal bimolecular mass-action systems with limit cycles, Bifurcation analysis of a mathematical model of microalgae growth under the influence of sunlight, Multiple bifurcations in a discrete Bazykin predator-prey model with predator intraspecific interactions and ratio-dependent functional response, Electrostatic comb drive actuators with variable gap: nonlinear dynamics at primary resonance, Dynamics of infectious diseases: a review of the main biological aspects and their mathematical translation, Dynamics of a predator-prey model with distributed delay to represent the conversion process or maturation, Unlocking a nose landing gear in different flight conditions: folds, cusps and a swallowtail, Relaxation oscillations and the mechanism in a periodically excited vector field with pitchfork-Hopf bifurcation, Global analysis of the dynamics of a mathematical model to intermittent HIV treatment, From thin plates to Ahmed bodies: linear and weakly nonlinear stability of rectangular prisms, Non-holonomic constraints inducing flutter instability in structures under conservative loadings, ALLEE EFFECT IN A RICKER TYPE DISCRETE-TIME PREDATOR–PREY MODEL WITH HOLLING TYPE-II FUNCTIONAL RESPONSE, Bifurcation analysis of a discrete Phytoplankton–Zooplankton model with linear predational response function and toxic substance distribution, Complex dynamics and bifurcation analysis for a Beverton–Holt population model with Allee effect, Dynamic analysis of a predator–prey model of Gause type with Allee effect and non-Lipschitzian hyperbolic-type functional response, Cohomogeneity one central Kähler metrics in dimension four, Novel insight into a single-species metapopulation model with time delays, An autonomous and nonautonomous predator–prey model with fear, refuge, and nonlinear harvesting: Backward, Bogdanov–Takens, transcritical bifurcations, and optimal control, Stable limit cycles in an intraguild predation model with general functional responses, Dynamics of a class of nonlinear pest–natural enemy discrete model, Dynamical analysis of a discrete‐time COVID‐19 epidemic model, Bifurcation analysis of a two‐dimensional discrete‐time predator–prey model, The dynamics of coupled logistic maps, Dynamics and bifurcations of a ratio-dependent predator-prey model, Dynamical analysis of a discrete-time plant-herbivore model, Carryover of a saddle-node bifurcation after transforming a parameter into a variable, Bifurcation analysis of the Topp model, Nonlocal chaotic analysis of double layered viscoelastic nanoplates embedded in Winkler–Pasternak elastic foundation and under in‐plane biaxial loads, Qualitative properties and bifurcations of a Cournot-Bertrand duopoly mixed competition model, Unnamed Item, A minimum model of prey-predator system with dormancy of predators and the paradox of enrichment, Recurrent canards producing relaxation oscillations, ANALYSIS OF DYNAMICS IN A GENERAL INTRAGUILD PREDATION MODEL WITH INTRASPECIFIC COMPETITION, Complexity of host-vector dynamics in a two-strain dengue model, Subcritical Neimark–Sacker bifurcation and hybrid control in a discrete-time Phytoplankton–Zooplankton model, Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier–Stokes equations with model order reduction, Analyzing Slightly Inclined Cylindrical Binary Fluid Convection via Higher Order Dynamic Mode Decomposition, Dynamics of an SIRWS model with waning of immunity and varying immune boosting period, The smallest bimolecular mass action reaction networks admitting Andronov–Hopf bifurcation