Simple Chaotic Hyperjerk System

Fatma Yildirim Dalkiran∗
Faculty of Aeronautics and Astronautics,
Erciyes University, 38039 Kayseri, Turkey

J. C. Sprott
Department of Physics, University of Wisconsin-Madison,
Madison, WI 53706, USA

Received April 28, 2016; Revised June 13, 2016


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 nth-order ordinary differential equations where n 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.

Ref: F. Y. Dalkiran and J. C. Sprott, International Journal of Bifurcation and Chaos 26 1650189 (2016)

The complete paper is available in PDF format.

Return to Sprott's Books and Publications.