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Four-scroll stellate new chaotic system

İ. PEHLİVAN1,*

Affiliation

  1. Department of Electronics and Computer Education, Sakarya University, 54187, Serdivan, Sakarya, Turkey

Abstract

This paper introduces a new chaotic system of three-dimensional autonomous ordinary differential equations, which can display strange four-scroll stellate chaotic attractors simultaneously. Some basic dynamical behaviors of the new system investigated via theoretical analysis by means of equilibria and lyapunov exponent spectrum. Finally, the chaos generator of the new chaotic system is experimentally confirmed via a novel analogue circuit design. It is convenient to use the system to purposefully generate chaos in chaos applications. A good qualitative agreement is illustrated between the simulation results..

Keywords

Chaos, Chaotic system, Chaotic attractor, Chaotic circuit, Four-scroll, Chaos generator.

Citation

İ. PEHLİVAN, Four-scroll stellate new chaotic system, Optoelectronics and Advanced Materials - Rapid Communications, 5, 9, September 2011, pp.1003-1006 (2011).

Submitted at: July 28, 2011

Accepted at: Sept. 15, 2011