ON AUTONOMOUS AND NONAUTONOMOUS MODIFIED HYPERCHAOTIC COMPLEX LÜ SYSTEMS

DOI10.1142/S0218127411029525zbMath1248.34053OpenAlexW2111108769MaRDI QIDQ3165812

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

Publication date: 19 October 2012

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127411029525

zbMATH Keywords

stabilityfixed pointschaoticcomplexhyperchaotic attractors

Mathematics Subject Classification ID

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

Related Items (9)

Combination synchronization of three identical or different nonlinear complex hyperchaotic systems ⋮ Synchronization of a novel hyperchaotic complex-variable system based on finite-time stability theory ⋮ Modified generalized projective synchronization of fractional-order chaotic Lü systems ⋮ Dynamic analysis of a Lü model in six dimensions and its projections ⋮ A Technique for Studying a Class of Fractional-Order Nonlinear Dynamical Systems ⋮ Combination-combination synchronization of four nonlinear complex chaotic systems ⋮ Chaos and Synchronization in Complex Fractional-Order Chua’s System ⋮ On modified time delay hyperchaotic complex Lü system ⋮ Unnamed Item

Uses Software

• Unnamed Item
• Simulink

Cites Work

• An equation for hyperchaos
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• The real and complex Lorenz equations and their relevance to physical systems
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• On the hyperchaotic complex Lü system
• Four-scroll hyperchaos and four-scroll chaos evolved from a novel 4D nonlinear smooth autonomous system
• Global stability properties of the complex Lorenz model
• ACTIVE CONTROL AND GLOBAL SYNCHRONIZATION OF THE COMPLEX CHEN AND LÜ SYSTEMS
• Dynamical properties and synchronization of complex non-linear equations for detuned lasers
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• Controlling hyperchaos of the Rossler system
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• Chaotic and hyperchaotic attractors of a complex nonlinear system
• THE DYNAMICS OF SYSTEMS OF COMPLEX NONLINEAR OSCILLATORS: A REVIEW

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