Article citationsMore>>

R. Eichhorn, S. J. Linz and P. Hanggi, “Transformations of Nonlinear Dynamical Systems to Jerky Motion and Its Application to Minimal Chaotic Flows,” Physical Review E, Vol. 58, No. 6, 1998, pp. 7151-7164. doi:10.1103/PhysRevE.58.7151

has been cited by the following article:

• 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.