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Zbl 1246.37074
El-Sayed, A.M.A.; Ahmed, E.; El-Saka, H.A.A.
Dynamic properties of the fractional-order logistic equation of complex variables. (English)
[J] Abstr. Appl. Anal. 2012, Article ID 251715, 12 p. (2012). ISSN 1085-3375; ISSN 1687-0409/e

Summary: We study the dynamic properties (equilibrium points, local and global stability, chaos and bifurcation) of the continuous dynamical system of the logistic equation of complex variables. The existence and uniqueness of uniformly Lyapunov stable solution will be proved.

MSC 2000:: *37F99 Complex dynamical systems
37D45 Strange attractors, chaotic dynamics
34D06
26A33 Fractional derivatives and integrals (real functions)
37M99 Approximation methods and numerical treatment of dynamical systems

Keywords: chaos synchronization; fractional-order logistic equations in complex variables; equilibrium points; local stability; global stability; chaos and bifurcations

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