Chaos in first-order partial difference equations†

DOI10.1080/10236190701503074zbMath1144.39002OpenAlexW2086757931MaRDI QIDQ5448996

Yuming Shi

Publication date: 10 March 2008

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190701503074

zbMATH Keywords

snap-back repellerchaosordinary difference equationfirst-order partial difference equation

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (12)

Chaos Induced by Heteroclinic Cycles Connecting Repellers for First-Order Partial Difference Equations ⋮ Existence of chaos for partial difference equations via tangent and cotangent functions ⋮ Chaotic dynamics in a class of delay controlled partial difference equations ⋮ CHAOTIFICATION FOR A CLASS OF FIRST-ORDER PARTIAL DIFFERENCE EQUATIONS ⋮ Chaotification of First-Order Partial Difference Equations ⋮ Spatiotemporal and synchronous chaos in accumulated coupled map lattice ⋮ Chaotification for partial difference equations via controllers ⋮ Chaotification schemes of first-order partial difference equations via sine functions ⋮ Anti-Control of Chaos for First-Order Partial Difference Equations via Sine and Cosine Functions ⋮ Exact regions of oscillation for a mixed 2D discrete convection system ⋮ Chaotic Dynamics of Partial Difference Equations with Polynomial Maps ⋮ Dynamical analysis in controlled globally coupled map lattices

Cites Work

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• A characterization of chaos
• On Devaney's Definition of Chaos
• Period Three Implies Chaos
• Analysis of a Non-linear Partial Difference Equation, and Its Application to Cardiac Dynamics

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