Chaos resulting from nonlinear relations between different variables

Akitaka Dohtani

Chaos, Solitons & Fractals, 2011, vol. 44, issue 4, 290-297

Abstract: In this study, we further develop the perturbation method of Marotto [6] and investigate the general mechanisms responsible for nonlinear dynamics, which are typical of multidimensional systems. We focus on the composites of interdependent relations between different variables. First, we prove a general result on chaos, which shows that the cyclic composites of nonlinear interdependent relations are sources of chaotic dynamics in multidimensional systems. By considering several examples, we conclude that the cyclic composites play an important role in detecting chaotic dynamics.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:44:y:2011:i:4:p:290-297

DOI: 10.1016/j.chaos.2011.02.004

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