Folding, Cycles and Chaos in Discrete Planar Systems

Abstract

We discuss the method of folding for discrete planar systems and use it to establish the existence or non-existence of cycles or chaos in planar systems of rational difference equations with variable coefficients. These include some systems that converge to autonomous systems and some that do not; e.g., systems with periodic coefficients.

To appear in the Journal of Difference Equations and Applications, 2015. Introduces folding for planar systems of nonlinear difference equations. Latest version adds 2 figures and a comparative analysis of rational systems. arXiv admin note: text overlap with arXiv:1403.3995

References in corpus (1)

• Folding Difference and Differential Systems into Higher Order Equations

Cited by in corpus (3)

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• A Convergence Criterion for the Solutions of Nonlinear Difference Equations and Dynamical Systems