A Fractional-Order Hyperchaotic System and its Circuit Implement

Abstract:

A fractional-order hyperchaotic system was proposed and some basic dynamical properties were investigated to show chaotic behavior. These properties include instability of equilibria, sensitivity to initial conditions, strange attractor, Lyapunov exponents, and bifurcation. The fractional-order system presents hyperchaos, chaos, and periodic behavior when the parameters vary continuously. Then, an analog circuit is designed on Multisim 11 and the Multisim results are agreed with the simulation results.

• Periodical: Applied Mechanics and Materials (Volumes 701-702)
• Pages: 1143-1147
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.701-702.1143
• Online since: December 2014
• Authors: Qi Li Wang*
• Keywords: Bifurcation, Fractional Order, Hyperchaotic System, Lyapunov Exponent

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