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A Simple Jerky Dynamics, Genesio System
Department of Mathematics, Faculty of Arts & Sciences, Abant Izzet Baysal University, Bolu, Turkey
Department of Mathematics, Faculty of Arts & Sciences, Abant Izzet Baysal University, Bolu, Turkey
- 1 Department of Mathematics, Faculty of Arts & Sciences, Abant Izzet Baysal University, Bolu, Turkey
- 2 Department of Mathematics, Faculty of Arts & Sciences, Abant Izzet Baysal University, Bolu, Turkey
International Journal of Modern Nonlinear Theory and Application·Volume 02 (2013)·Pages 60–68·Published 13 March 2013·DOI10.4236/ijmnta.2013.21007
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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.
KeywordsGenesio SystemAlgebraically Simple SystemsJerky DynamicsNewtonian Jerky DynamicsDynamical Properties
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