A. E. Matouk

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In this work, we study chaos control and synchronization of the commensurate fractional order Liu system. Based on the stability theory of fractional order systems, the conditions of local stability of nonlinear three-dimensional commensurate fractional order systems are discussed. The existence and uniqueness of solutions for a class of commensurate(More)
In this work, we investigate the dynamical behaviors of the modi-…ed autonomous Van der Pol-Du¢ ng chaotic circuit (MADVP). Some stability conditions of the equilibrium points are discussed. The existence of pitchfork bifurcation is veri…ed by using the bifurcation theory and the center manifold theorem. The occurrences of Hopf bifurcation about the(More)
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