"

Cookies ussage consent

Our site saves small pieces of text information (cookies) on your device in order to deliver better content and for statistical purposes. You can disable the usage of cookies by changing the settings of your browser. By browsing our site without changing the browser settings you grant us permission to store that information on your device.

Chaos, coexisting attractors, and c ircuit d esign of the generalized s prott C system with only two stable equilibria

ZHOUCHAO WEI1,* , IHSAN PEHLİVAN2

Affiliation

  1. School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, PR China
  2. Electronics and Computer Education Department, Sakarya University, TR 54187, Esentepe Campus, Sakarya, T urkey

Abstract

This paper carries out the coexistence of chaotic attractors and stable equilibria in a generalized Sprott C system with only two stable equilibria. The discovery of this result is striking, because one typically would anticipate non-chaotic and even asymptotically converging behaviors. The simulation results are verified with a circuit implementation..

Keywords

Chaotic attractors, Sil'nikov theorem, Lyapunov exponent Coexisting attractors, Circuit implementation.

Citation

ZHOUCHAO WEI, IHSAN PEHLİVAN, Chaos, coexisting attractors, and c ircuit d esign of the generalized s prott C system with only two stable equilibria, Optoelectronics and Advanced Materials - Rapid Communications, 6, 7-8, July-August 2012, pp.742-745 (2012).

Submitted at: May 27, 2012

Accepted at: July 19, 2012