A Simple Jerky Dynamics, Genesio System

Ömür Umut, Serpil Yaşar

Department of Mathematics, Faculty of Arts & Sciences, Abant Izzet Baysal University, Bolu, Turkey.

DOI: 10.4236/ijmnta.2013.21007                

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.

Keywords

Genesio System; Algebraically Simple Systems; Jerky Dynamics; Newtonian Jerky Dynamics; Dynamical Properties

Conflicts of Interest

The authors declare no conflicts of interest.

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