Chaotic hyperjerk systems

Konstantinos E. Chlouverakis and J.C. Sprott

Chaos, Solitons & Fractals, 2006, vol. 28, issue 3, 739-746

Abstract: A hyperjerk system is a dynamical system governed by an nth order ordinary differential equation with n>3 describing the time evolution of a single scalar variable. Such systems are surprisingly general and are prototypical examples of complex dynamical systems in a high-dimensional phase space. This paper describes a numerical study of a simple subclass of such systems and shows that they provide a means to extend the extensive study of chaotic systems with n=3. We present some simple chaotic hyperjerks of 4th and 5th order. Two cases are examined that are apparently the simplest possible chaotic flows for n=4, together with several hyperchaotic cases for n=4 and 5.

Date: 2006
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Citations: View citations in EconPapers (16)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:28:y:2006:i:3:p:739-746

DOI: 10.1016/j.chaos.2005.08.019

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