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Generalized function projective synchronization of coupled chaotic systems with parameter mismatch, time-delay and stochastic perturbation is investigated. The synchronization is realized by analyzing the stochastic stability of the error system. According to the invariance principle of the stochastic differential equation, the unknown parameters update laws and the control laws are proposed. The...
In this paper, a low-dimensional atmosphere model with general circulation is researched. The model is the classical Lorenz-84 system combined with seasonal force. The stability and the chaotic behavior of the seasonal forcing model are studied. By means of the Lyapunov exponents, the bifurcation map, phase diagram and Poincare section, the dynamical behaviors of the system are described and various...
This paper mainly studies the dynamical behaviors of the stochastic Lorenz system, which means one parameter of Lorenz system is designed as a bounded random parameter. This stochastic system can be transformed intoan equivalent deterministic nonlinear system by Chebyshevpolynomial approximation, so the dynamics characteristics ofthe stochastic Lorenz system can be obtained by analyzingthe corresponding...
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