Simple Chaotic Hyperjerk System

Author:

Dalkiran Fatma Yildirim1,Sprott J. C.2

Affiliation:

1. Faculty of Aeronautics and Astronautics, Erciyes University, 38039 Kayseri, Turkey

2. Department of Physics, University of Wisconsin-Madison, Madison, WI 53706, USA

Abstract

In literature many chaotic systems, based on third-order jerk equations with different nonlinear functions, are available. A jerk system is taken to be a part of dynamical systems that can exhibit regular and chaotic behavior. By extension, a hyperjerk system can be described as a dynamical system with [Formula: see text]th-order ordinary differential equations where [Formula: see text] is 4 or up to. Hyperjerk systems have been investigated in literature in the last decade. This paper consists of numerical studies and experimental realization on FPAA for fourth-order hyperjerk system with exponential nonlinear function.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

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