Numerical Methods for Two-Parameter Local Bifurcation Analysis of Maps
From MaRDI portal
Publication:3545263
DOI10.1137/060653858zbMath1155.65397OpenAlexW2099631180MaRDI QIDQ3545263
No author found.
Publication date: 10 December 2008
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://research.utwente.nl/en/publications/numerical-methods-for-twoparameter-local-bifurcation-analysis-of-maps(72856ed6-ec0f-4eec-9d03-e6ffe90f7b5f).html
Normal forms for dynamical systems (37G05) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30)
Related Items (44)
Generic and symmetric bifurcations analysis of a three dimensional economic model ⋮ Logistic-like and Gauss coupled maps: the born of period-adding cascades ⋮ Multiple and generic bifurcation analysis of a discrete Hindmarsh-Rose model ⋮ Complex dynamics of a discrete-time Bazykin-Berezovskaya prey-predator model with a strong Allee effect ⋮ Codimension-Two Bifurcations and Bifurcation Controls in a Discrete Biological System with Weak Allee Effect ⋮ Dynamics and bifurcations of a discrete time neural network with self connection ⋮ Multiple Bifurcations of a Discrete-Time Prey–Predator Model with Mixed Functional Response ⋮ Computation of normal form coefficients of cycle bifurcations of maps by algorithmic differentiation ⋮ On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex ⋮ The energy thresholds of nonlinear vibration absorbers ⋮ Bifurcation analysis and complex dynamics of a Kopel triopoly model ⋮ Dynamical analysis of a discrete-time SIR epidemic model ⋮ Strong resonance bifurcations for a discrete-time prey-predator model ⋮ Complex dynamics of a discrete‐time seasonally forced SIR epidemic model ⋮ Strong resonance bifurcations and state feedback control in a discrete prey-predator model with harvesting effect ⋮ Rich dynamics of discrete time-delayed Moran-Ricker model ⋮ Codimension-2 bifurcation in a discrete predator–prey system with constant yield predator harvesting ⋮ Bifurcations of a discrete-time SIR epidemic model with logistic growth of the susceptible individuals ⋮ Complex dynamics of a discrete-time SIR model with nonlinear incidence and recovery rates ⋮ Bifurcation patterns in a discrete predator-prey model incorporating ratio-dependent functional response and prey harvesting ⋮ On local bifurcations in neural field models with transmission delays ⋮ Resonance and bifurcation in a discrete-time predator-prey system with Holling functional response ⋮ Numerical Detection and Analysis of Strong Resonance Bifurcations with a Reflection Symmetry and Some Applications in Economics and Neural Networks ⋮ Codimension-2 bifurcations on the curve of the Neimark-Sacker bifurcation for a discrete-time chemical model ⋮ Bifurcation and chaos in a price game of irrigation water in a coastal irrigation district ⋮ On bifurcations of delay single species discrete time population models ⋮ Explicit transversality conditions and local bifurcation diagrams for bogdanov-Takens bifurcation on center manifolds ⋮ Codimension-two bifurcations of fixed points in a class of discrete prey-predator systems ⋮ Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance `bubble' ⋮ A simple no-equilibrium chaotic system with only one signum function for generating multidirectional variable hidden attractors and its hardware implementation ⋮ Bifurcation analysis of a two-dimensional discrete Hindmarsh-Rose type model ⋮ Homoclinic saddle to saddle-focus transitions in 4D systems ⋮ Numerical continuation of connecting orbits of maps in MATLAB ⋮ Codimension one and two bifurcations of a discrete stage-structured population model with self-limitation ⋮ Neimark-Sacker bifurcation with \(\mathbb{Z}_n\)-symmetry and a neural application ⋮ Numerical bifurcation analysis of double +1 multiplier in ℤ3-symmetric maps ⋮ On periodic and chaotic behavior in a two-dimensional monopoly model ⋮ Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs ⋮ STARTING HOMOCLINIC TANGENCIES NEAR 1 : 1 RESONANCES ⋮ On the dynamics of multi-species Ricker models admitting a carrying simplex ⋮ Switching to Nonhyperbolic Cycles from Codimension Two Bifurcations of Equilibria of Delay Differential Equations ⋮ Permanence and universal classification of discrete-time competitive systems via the carrying simplex ⋮ Complex dynamics of a Kaldor model of business cycle with discrete-time ⋮ Codimension two bifurcations of discrete Bonhoeffer-van der Pol oscillator model
Uses Software
This page was built for publication: Numerical Methods for Two-Parameter Local Bifurcation Analysis of Maps