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Generating a novel hyperchaotic system out of equilibrium

VIET-THANH PHAM1,* , CHRISTOS VOLOS2, SAJAD JAFARI3, XIONG WANG4

Affiliation

  1. School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam
  2. Physics Department, Aristotle University of Thessaloniki, GR-54124, Greece
  3. Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran
  4. Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, China

Abstract

In this paper a new no-equilibrium hyperchaotic system is proposed by adding a tiny perturbation to a known hyperchaotic system with a line equilibrium. The fundamental dynamical properties of the new system are discovered including Lyapunov exponents, bifurcation diagram, Poincaré map and limit cycles. In addition, an electronic circuit emulating the new system is also presented to verify the feasibility of theoretical model. Interestingly, by applying the introduced methodology another new memristor-based hyperchaotic system without equilibrium has also been created..

Keywords

Hyperchaos, No equilibrium, Hidden attractor, Lyapunov exponent, Bifurcation diagram, Poincaré map, Memristor.

Citation

VIET-THANH PHAM, CHRISTOS VOLOS, SAJAD JAFARI, XIONG WANG, Generating a novel hyperchaotic system out of equilibrium, Optoelectronics and Advanced Materials - Rapid Communications, 8, 5-6, May-June 2014, pp.535-539 (2014).

Submitted at: April 11, 2014

Accepted at: May 15, 2014