Melnikov Chaos in a Periodically Driven the Nonlinar Schrodinger Equation
نویسندگان
چکیده
A numerical behavior of a KdV combined mKdV equation is obtained using the Melnikov method. Melnikov method is proved to be elegant, and successful alternative to characterizing the complex dynamics of multi-stable oscillators. Based on the Melnikov theory we present the homoclinic and heteroclinic orbits in the unperturbed system. It is show us whether the system is chaotic or not. In this work, we study the relation among the parameters of the linnonlinear dispersion term. Furthermore, we discuss the control threshold of the chaos. Chaos appear in the system due to the absence of damping term.
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