This paper is to investigate the Lyapunov exponents for nonlinear systems with Lévy process.A method of equivalent linearization is proposed to reduce and simplify the original systems and the mean square respons...
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This paper is to investigate the Lyapunov exponents for nonlinear systems with Lévy process.A method of equivalent linearization is proposed to reduce and simplify the original systems and the mean square responses are carried out to verify the effectiveness of the proposed *** Lyapunov exponents will be defined and computed to explore the stochastic stability,and two examples are presented to demonstrate the procedure of equivalent linearization and stochastic stability is considered for these two special *** results show that the technique of equivalent linearization can be used to study nonlinear systems excited by Lévy noise.
The stability of Brusselator system with random parameter is explored in this *** the Brusselator system with random parameter can be reduced into the deterministic equivalent system by orthogonal polynomial *** deter...
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The stability of Brusselator system with random parameter is explored in this *** the Brusselator system with random parameter can be reduced into the deterministic equivalent system by orthogonal polynomial *** deterministic linear stability theory and the mathematics analysis method are applied to discuss the stability in equivalent *** last the influence of the random parameter on stability in stochastic system is *** is discovered that parameter intervals for asymptotic stability in stochastic Brusselator system is not only related to deterministic parameter,but also to random *** larger the random intensity is,the smaller the parameter interval for asymptotic stability is.
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