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
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