TITLE:
A Simple Jerky Dynamics, Genesio System
AUTHORS:
Ömür Umut, Serpil Yaşar
KEYWORDS:
Genesio System; Algebraically Simple Systems; Jerky Dynamics; Newtonian Jerky Dynamics; Dynamical Properties
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.2 No.1,
March
22,
2013
ABSTRACT:
The third order explicit autonomous differential equations named as jerk equations represent an interesting subclass of dynamical systems that can exhibit many major features of the regular and chaotic motion. In this paper, we show that an algebraically simple system, the Genesio system can be recast into a jerky dynamics and its jerk equation can be derived from one-dimensional Newtonian equation. We also investigate the global dynamical properties of the corresponding jerk system.