A Model of the Dynamics of The Newton–Leipnik Attractor

Author:

Lofaro Thomas1

Affiliation:

1. Department of Pure and Applied Mathematics, Washington State University, Pullman, WA 99164-3113, USA

Abstract

The dynamics and bifurcations of the Newton–Leipnik equations are presented. Numerical computations and local stability calculations suggest that the dynamics of the Newton–Leipnik equations are related to the dynamics and bifurcations of a family of odd, symmetric, bimodal maps. The numerically computed dynamics and bifurcations of the Newton–Leipnik equations are compared with the dynamics and bifurcations of a family of odd, symmetric, bimodal maps to motivate the connection between the two systems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the Dynamics of Chaotic Systems with Multiple Attractors: A Case Study;Studies in Systems, Decision and Control;2017-07-26

2. Odd Ghrist Templates are Universal;International Journal of Bifurcation and Chaos;2016-09

3. A New Series of Three-Dimensional Chaotic Systems with Cross-Product Nonlinearities and Their Switching;Journal of Applied Mathematics;2013

4. MODELING THE NEWTON–LEIPNIK ATTRACTOR;International Journal of Bifurcation and Chaos;2012-11

5. Synchronization of Chaotic Systems with Double Strange Attractors via Passivity Approach;Electrical, Information Engineering and Mechatronics 2011;2012

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