On a One-Parameter Discrete-Time Z4-Equivariant Cubic Dynamical System

DOI10.1142/S0218127419500524zbMath1411.37027OpenAlexW2941162311MaRDI QIDQ4632155

Armands Gritsans

Publication date: 26 April 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127419500524

zbMATH Keywords

lemniscate functionsattracting setclosed invariant curve\(Z_4\)-equivariant mapunit-time shift

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Invariant manifold theory for dynamical systems (37D10)

Related Items (1)

Asymptotically stable heteroclinic cycles in discrete-time -equivariant cubic dynamical systems

Uses Software

• mftoolbox

Cites Work

• Codimension-two bifurcations of fixed points in a class of discrete prey-predator systems
• The structure of symmetric attractors
• Dynamical systems. An introduction
• One-dimensional and two-dimensional dynamics of cubic maps
• Singularities and groups in bifurcation theory. Volume II
• On invariant closed curves for one-step methods
• The symmetry perspective. From equilibrium to chaos in phase space and physical space
• Dynamical Systems with Applications Using Mathematica®
• Functions of Matrices
• Elements of applied bifurcation theory
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