Beyond the Bristol book: advances and perspectives in non-smooth dynamics and applications
DOI10.1063/5.0138169zbMATH Open1541.34031MaRDI QIDQ6571778
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Publication date: 12 July 2024
Published in: Chaos (Search for Journal in Brave)
Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Bifurcations in context of PDEs (35B32) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)
Cites Work
- Existence of multiple sliding segments and bifurcation analysis of Filippov prey-predator model
- Global stability and sliding bifurcations of a non-smooth Gause predator-prey system
- Piecewise smooth dynamical systems theory: the case of the missing boundary equilibrium bifurcations
- Canard trajectories in 3D piecewise linear systems
- On the consensus protocol of conspecific agents
- Occurrence of multiple attractor bifurcations in the two-dimensional piecewise linear normal form map
- Dynamics of simple balancing models with time-delayed switching feedback control
- Persistence of periodic orbits with sliding or sewing by singular perturbation
- Stochastically perturbed sliding motion in piecewise-smooth systems
- Geometric singular perturbation theory for non-smooth dynamical systems
- Sensitivity to switching rates in stochastically switched ODEs
- Stochastic perturbations of periodic orbits with sliding
- The moments sliding vector field on the intersection of two manifolds
- Generic bifurcations of low codimension of planar Filippov systems
- Global qualitative analysis of a non-smooth Gause predator-prey model with a refuge
- Master-slave synchronization of continuously and intermittently coupled sampled-data chaotic oscillators
- Random talk: Random walk and synchronizability in a moving neighborhood network
- Slow-fast \(n\)-dimensional piecewise linear differential systems
- Local analysis near a folded saddle-node singularity
- Vibro-impact dynamics. Modeling, mapping and applications
- On limiting values of stochastic differential equations with small noise intensity tending to zero
- On the structure of C-bifurcation boundaries of piecewise continuous systems
- Structural stability of Lorenz attractors
- Sliding modes in control and optimization. Transl. from the Russian
- A compendium of Hopf-like bifurcations in piecewise-smooth dynamical systems
- Renormalization of two-dimensional piecewise linear maps: abundance of 2-D strange attractors
- Dynamically active compartments coupled by a stochastically gated gap junction
- A novel route to a Hopf bifurcation scenario in switched systems with dead-zone
- Windows of opportunity for synchronization in stochastically coupled maps
- The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems
- A simple influenza model with complicated dynamics
- Windows of opportunity for the stability of jump linear systems: almost sure versus moment convergence
- Analytical determination for degenerate grazing bifurcation points in the single-degree-of-freedom impact oscillator
- Stability conditions for discontinuous vector fields
- Blinking model and synchronization in small-world networks with a time-varying coupling
- Sliding mode control of outbreaks of emerging infectious diseases
- Non-smooth plant disease models with economic thresholds
- Noise and multistability in the square root map
- The regularized visible fold revisited
- A constructive approach to robust chaos using invariant manifolds and expanding cones
- A survey on algebraic and explicit non-algebraic limit cycles in planar differential systems
- Dynamics analysis of a Filippov pest control model with time delay
- Characterising stochastic fixed points and limit cycles for dynamical systems with additive noise
- Singularly perturbed boundary-focus bifurcations
- Global dynamics of non-smooth Filippov pest-natural enemy system with constant releasing rate
- Global dynamics for a Filippov epidemic system with imperfect vaccination
- Discontinuity mappings for stochastic nonsmooth systems
- Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems
- Dimension reduction for slow-fast, piecewise-linear ODEs and obstacles to a general theory
- Most probable transition paths in piecewise-smooth stochastic differential equations
- Chaos in the border-collision normal form: a computer-assisted proof using induced maps and invariant expanding cones
- Estimating the dynamics of systems with noisy boundaries
- Singular perturbations of the Holling I predator-prey system with a focus
- Chaotic attractor of the normal form map for grazing bifurcations of impact oscillators
- A Filippov system describing media effects on the spread of infectious diseases
- Non-Filippov dynamics arising from the smoothing of nonsmooth systems, and its robustness to noise
- Bifurcation patterns in homogeneous area-preserving piecewise-linear maps
- Mixed-mode oscillations in a stochastic, piecewise-linear system
- Two- and three-dimensional motions of a body controlled by an internal movable mass
- Stability and bifurcation analysis of the period-\(T\) motion of a vibroimpact energy harvester
- On the relative coexistence of fixed points and period-two solutions near border-collision bifurcations
- Piecewise-smooth dynamical systems. Theory and applications
- Leader-follower consensus over numerosity-constrained random networks
- Averaging for switched DAEs: convergence, partial averaging and stability
- Contraction analysis of switched systems via regularization
- Regularization of discontinuous foliations: blowing up and sliding conditions via Fenichel theory
- Resolution of the piecewise smooth visible-invisible two-fold singularity in \(\mathbb {R}^3\) using regularization and blowup
- The two-fold singularity of nonsmooth flows: leading order dynamics in \(n\)-dimensions
- Bifurcation analysis of piecewise smooth ecological models
- Corner bifurcations in nonsmoothly forced impact oscillators
- Regularization of hidden dynamics in piecewise smooth flows
- Periodic-impact motions and bifurcations in dynamics of a plastic impact oscillator with a frictional slider
- Doubling of the oscillation period with C-bifurcations in piecewise-continuous systems
- Hidden dynamics in models of discontinuity and switching
- Mathematical model of an antiretroviral therapy to HIV via Filippov theory
- Convergence and synchronization in networks of piecewise-smooth systems via distributed discontinuous coupling
- Dynamic tipping in the non-smooth Stommel-box model, with fast oscillatory forcing
- Dynamics and bifurcations of a Filippov Leslie-Gower predator-prey model with group defense and time delay
- Mappings of grazing-impact oscillators
- Saddle-point solutions and grazing bifurcations in an impacting system
- Canard solutions in planar piecewise linear systems with three zones
- Periodic orbits for a discontinuous vector field arising from a conceptual model of glacial cycles
- Hidden bifurcations and attractors in nonsmooth dynamical systems
- Boundary value problems for statistics of diffusion in a randomly switching environment: PDE and SDE perspectives
- Canard-like phenomena in piecewise-smooth Van der Pol systems
- Canards in piecewise-linear systems: explosions and super-explosions
- Canards, folded nodes, and mixed-mode oscillations in piecewise-linear slow-fast systems
- Stochastic regular grazing bifurcations
- Dynamics of stochastically blinking systems. I: Finite time properties
- Dynamics of stochastically blinking systems. II: Asymptotic properties
- Dynamics of the Budyko energy balance model
- The border collision normal form with stochastic switching surface
- A quadratic approximation to Budyko's ice-albedo feedback model with ice line dynamics
- Prey switching with a linear preference trade-off
- Precision and reliability of periodically and quasiperiodically driven integrate-and-fire neurons
- The positive occupation time of Brownian motion with two-valued drift and asymptotic dynamics of sliding motion with noise
- Scaling Laws for Large Numbers of Coexisting Attracting Periodic Solutions in the Border-Collision Normal Form
- Predicting Dynamic Trends of the Atlantic Meridional Overturning Circulation for Transient and Stochastic Forcing Effects
- Dynamics at a Switching Intersection: Hierarchy, Isonomy, and Multiple Sliding
- Border Collision Bifurcations of Stroboscopic Maps in Periodically Driven Spiking Models
- Lyapunov Coefficients for Hopf Bifurcations in Systems with Piecewise Smooth Nonlinearity
- Corner collision implies border-collision bifurcation
- On the Gause predator-prey model with a refuge: a fresh look at the history
- Detecting invariant expanding cones for generating word sets to identify chaos in piecewise-linear maps
- Generalized Hopf bifurcation of a non-smooth railway wheelset system
- Nonlinear targeted energy transfer: state of the art and new perspectives
- Existence of \(n\)-cycles and border-collision bifurcations in piecewise-linear continuous maps with applications to recurrent neural networks
- Periodic motions and homoclinic orbits in a discontinuous dynamical system on a single domain with multiple vector fields
- Border collision bifurcation of a resonant closed invariant curve
- A developed non-smooth coordinate transformation for general bilateral vibro-impact systems
- Robust Devaney chaos in the two-dimensional border-collision normal form
- Limit cycles in Filippov systems having a circle as switching manifold
- Predictor feedback models for stick balancing with delay mismatch and sensory dead zones
- Melnikov-type method for a class of hybrid piecewise-smooth systems with impulsive effect and noise excitation: homoclinic orbits
- A simple topological model for two coupled neurons
- Transient chaotic behavior of fuzzy controlled polishing processes
- Noise-induced switching in an oscillator with pulse delayed feedback: a discrete stochastic modeling approach
- Qualitative changes in bifurcation structure for soft vs hard impact models of a vibro-impact energy harvester
- Slow passage through a Hopf-like bifurcation in piecewise linear systems: application to elliptic bursting
- Switched electromechanical dynamics for transient phase control of brushed DC servomotor
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Synchrony in Metapopulations with Sporadic Dispersal
- The structure of mode-locking regions of piecewise-linear continuous maps: I. Nearby mode-locking regions and shrinking points
- Nonlinear threshold behavior during the loss of Arctic sea ice
- Statistical stability for multidimensional piecewise expanding maps
- Two-dimensional attractors in the border-collision normal form
- Discontinuity-induced bifurcations of piecewise smooth dynamical systems
- Canards and curvature: nonsmooth approximation by pinching
- Dynamics of an impact oscillator near a degenerate graze
- Brownian motion with dry friction: Fokker–Planck approach
- One-parameter families of smooth interval maps: Density of hyperbolicity and robust chaos
- Stick–slip motion of solids with dry friction subject to random vibrations and an external field
- Nondeterministic Chaos, and the Two-fold Singularity in Piecewise Smooth Flows
- The Geometry of Generic Sliding Bifurcations
- The Ghosts of Departed Quantities in Switches and Transitions
- Sliding Bifurcations of Filippov Two Stage Pest Control Models with Economic Thresholds
- Stability analysis of switched systems with stable and unstable subsystems: an average dwell time approach
- Exact power spectra of Brownian motion with solid friction
- A Simple Loop Dwell Time Approach for Stability of Switched Systems
- Analysis of an Arctic Sea Ice Loss Model in the Limit of a Discontinuous Albedo
- Sequences of Periodic Solutions and Infinitely Many Coexisting Attractors in the Border-Collision Normal Form
- Classification of Hidden Dynamics in Discontinuous Dynamical Systems
- Bifurcation from stable fixed point toN-dimensional attractor in the border collision normal form
- An analysis of the periodically forced PP04 climate model, using the theory of non-smooth dynamical systems
- Regularizations of Two-Fold Bifurcations in Planar Piecewise Smooth Systems Using Blowup
- The Dynamics of Regularized Discontinuous Maps with Applications to Impacting Systems
- Lateral excitation of bridges by balancing pedestrians
- Shrinking point bifurcations of resonance tongues for piecewise-smooth, continuous maps
- The Two-Fold Singularity of Discontinuous Vector Fields
- Bifurcations caused by grazing incidence in many degrees of freedom impact oscillators
- Elements of Contemporary Theory of Dynamical Chaos: A Tutorial. Part I. Pseudohyperbolic Attractors
- A general framework for boundary equilibrium bifurcations of Filippov systems
- Bifurcation from stable fixed point to 2D attractor in the border collision normal form
- Classification of boundary equilibrium bifurcations in planar Filippov systems
- The influence of parametric and external noise in act-and-wait control with delayed feedback
- The structure of mode-locking regions of piecewise-linear continuous maps: II. Skew sawtooth maps
- The generic unfolding of a codimension-two connection to a two-fold singularity of planar Filippov systems
- Sliding and Crossing Dynamics in Extended Filippov Systems
- Jitter in Piecewise-Smooth Dynamical Systems with Intersecting Discontinuity Surfaces
- Sinai–Ruelle–Bowen measure for normal form map of grazing bifurcations of impact oscillators
- Synchrony in networks of coupled non-smooth dynamical systems: Extending the master stability function
- Smale Horseshoe in a Piecewise Smooth Map
- Smooth invariant densities for random switching on the torus
- Vibro‐Impact Dynamics
- One-Parameter Bifurcations in Planar Filippov Systems
- Overcoming network resilience to synchronization through non-fast stochastic broadcasting
- Spiking Neuron Models
- Synchronization in Networks of Excitatory and Inhibitory Neurons with Sparse, Random Connectivity
- Structural Stability of the Two-Fold Singularity
- Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
- Hidden Dynamics
- Shilnikov chaos, Filippov sliding and boundary equilibrium bifurcations
- Networks of piecewise linear neural mass models
- A Lorenz-type attractor in a piecewise-smooth system: Rigorous results
- Wild pseudohyperbolic attractor in a four-dimensional Lorenz system
- Sliding homoclinic bifurcations in a Lorenz-type system: Analytic proofs
- Recent advances in coupled oscillator theory
- Synchronization in On-Off Stochastic Networks: Windows of Opportunity
- Bifurcations of Limit Directions at Codimension-2 Discontinuities of Vector Fields
- Stability of cycling behaviour near a heteroclinic network model of Rock–Paper–Scissors–Lizard–Spock
- Homoclinic Boundary-Saddle Bifurcations in Planar Nonsmooth Vector Fields
- Less Is More I: A Pessimistic View of Piecewise Smooth Bifurcation Theory
- Less Is More II: An Optimistic View of Piecewise Smooth Bifurcation Theory
- Robust chaos and the continuity of attractors
- Ghost attractors in blinking Lorenz and Hindmarsh–Rose systems
- A Stiction Oscillator with Canards: On Piecewise Smooth Nonuniqueness and Its Resolution by Regularization Using Geometric Singular Perturbation Theory
- Accelerating Sparse Recovery by Reducing Chatter
- Singularly perturbed boundary-equilibrium bifurcations
- Delay and Uncertainty in Human Balancing Tasks
- Coexistence of Two-Dimensional Attractors in Border Collision Normal Form
- Modeling with Nonsmooth Dynamics
- Border-collision bifurcations in a driven time-delay system
- Shilnikov problem in Filippov dynamical systems
- Regularization and Geometry of Piecewise Smooth Systems with Intersecting Discontinuity Sets
- Dynamics in Genetic Networks
- Node-to-node pinning control of complex networks
- Bifurcations in the Wilson--Cowan Equations with Nonsmooth Firing Rate
- Threshold Models for Rainfall and Convection: Deterministic versus Stochastic Triggers
- The Boundary-Hopf-Fold Bifurcation in Filippov Systems
- Boundary-equilibrium bifurcations in piecewise-smooth slow-fast systems
- One-Dimensional Map for the Circadian Modulation of Sleep in a Sleep-Wake Regulatory Network Model for Human Sleep
- Consensus Seeking Over Random Weighted Directed Graphs
- Consensus Over Numerosity-Constrained Random Networks
- Bifurcation of Limit Cycles from a Fold-Fold Singularity in Planar Switched Systems
- Memory Matters in Synchronization of Stochastically Coupled Maps
- Fast phase randomization via two-folds
- Singular cycles and chaos in a new class of 3D three-zone piecewise affine systems
- Two Degenerate Boundary Equilibrium Bifurcations in Planar Filippov Systems
- Canard-Like Explosion of Limit Cycles in Two-Dimensional Piecewise-Linear Models of FitzHugh–Nagumo Type
- Robust Chaos
- Grazing-sliding bifurcations, border collision maps and the curse of dimensionality for piecewise smooth bifurcation theory
- Invariant Measures for the n-Dimensional Border Collision Normal Form
- Stochastic models of the meridional overturning circulation: time scales and patterns of variability
- Subsumed Homoclinic Connections and Infinitely Many Coexisting Attractors in Piecewise-Linear Maps
- The Period Adding and Incrementing Bifurcations: From Rotation Theory to Applications
- Discontinuity Induced Bifurcations of Nonhyperbolic Cycles in Nonsmooth Systems
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