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Mahmoud, Gamal M.; Ahmed, Mansour E.; Sabor, Nabil

On autonomous and nonautonomous modified hyperchaotic complex Lü systems. (English) Zbl 1248.34053

Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 7, 1913-1926 (2011).
Summary: Autonomous and nonautonomous modified hyperchaotic complex Lü systems are proposed. Our systems have been generated by using state feedback and complex periodic forcing. The basic properties of these systems are studied. Parameters range for hyperchaotic attractors to exist are calculated. These systems have very rich dynamics in a wide range of parameters. The analytical results are tested numerically and excellent agreement is found. A circuit diagram is designed for one of these hyperchaotic complex systems and simulated using Matlab/Simulink to verify the hyperchaotic behavior.

Cited in 9 Documents

MSC:

34C28 Complex behavior and chaotic systems of ordinary differential equations
34D45 Attractors of solutions to ordinary differential equations
34C23 Bifurcation theory for ordinary differential equations
34D08 Characteristic and Lyapunov exponents of ordinary differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior

Keywords:

hyperchaotic attractors; chaotic; complex; fixed points; stability

Software:

Simulink; Matlab
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\textit{G. M. Mahmoud} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 7, 1913--1926 (2011; Zbl 1248.34053)
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