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

34C28Complex behavior, chaotic systems (ODE)
34C23Bifurcation (ODE)
34D08Characteristic and Lyapunov exponents
37D45Strange attractors, chaotic dynamics
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