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In this paper, we study the chaotic behavior of the nonlinear Schödinger equation with a single source under external perturbations. Based on Melnikov’s theorem, we prove the existence of chaos regardless of the complexity of the perturbation signals. Numerical simulations and electronic circuit experiments are also devised to verify this phenomenon. By investigating the Lyapunov spectrum and considering...
In this paper, it is to apply genetic programming to explore some new chaotic systems. Based on a tree representation, each function in the state dynamical equation of a chaotic system can be well defined. Thus, through the optimization process governed by genetic programming, it is demonstrated that some new potential forms can be determined, for which chaotic systems are obtained by having tuning...
A new approach for chaos control using periodic impulsive parametric perturbations is suggested and applied to suppress chaos in Uuffing system. Using the Melnikov's method, it is proved that in the neighborhood of a homoclinic orbit, chaos can he suppressed perturbing impulsively a parameter of the system. A sufficient condition for chaos suppression is derived, and the amplitude and width of the...
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