The stochastic quantization approach is generalized to the case of fermions on lattice.The approximate approaches for solving Langevin equation are analysed.
In this paper, the problem of chaos, stability and estimation of unknown parameters of the stochastic lattice gas for prey-predator model with pair-approximation is studied. The result shows that this dynamical system...In this paper, the problem of chaos, stability and estimation of unknown parameters of the stochastic lattice gas for prey-predator model with pair-approximation is studied. The result shows that this dynamical system exhibits an oscillatory behavior of the population densities of prey and predator. Using Liapunov stability technique, the estimators of the unknown probabilities are derived, and also the updating rules for stability around its steady states are derived. Furthermore the feedback control law has been as non-linear functions of the population densities. Numerical simulation study is presented graphically.展开更多
The current paper is devoted to the study of the stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white noise.First,the dynamics of stochastic FitzHugh-Nagumo systems are studied.Then,the existenc...The current paper is devoted to the study of the stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white noise.First,the dynamics of stochastic FitzHugh-Nagumo systems are studied.Then,the existence and uniqueness of their invariant measures,which mix exponentially are proved.Finally,the asymptotic behaviors of invariant measures when size of noise gets to zero are investigated.展开更多
This paper is concerned with the asymptotic behavior of solutions for a class of non-autonomous fractional FitzHugh-Nagumo equations deriven by additive white noise. We first provide some sufficient conditions for the...This paper is concerned with the asymptotic behavior of solutions for a class of non-autonomous fractional FitzHugh-Nagumo equations deriven by additive white noise. We first provide some sufficient conditions for the existence and uniqueness of solutions, and then prove the existence and uniqueness of tempered pullback random attractors for the random dynamical system generated by the solutions of considered equations in an appropriate Hilbert space. The proof is based on the uniform estimates and the decomposition of dynamical system.展开更多
The present paper is devoted to the existence of the random attractor for partly dissipative stochastic lattice dynamical systems with multiplicative white noises.
文摘The stochastic quantization approach is generalized to the case of fermions on lattice.The approximate approaches for solving Langevin equation are analysed.
文摘In this paper, the problem of chaos, stability and estimation of unknown parameters of the stochastic lattice gas for prey-predator model with pair-approximation is studied. The result shows that this dynamical system exhibits an oscillatory behavior of the population densities of prey and predator. Using Liapunov stability technique, the estimators of the unknown probabilities are derived, and also the updating rules for stability around its steady states are derived. Furthermore the feedback control law has been as non-linear functions of the population densities. Numerical simulation study is presented graphically.
基金Project supported by the National Natural Science Foundation of China(No.10926096)
文摘The current paper is devoted to the study of the stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white noise.First,the dynamics of stochastic FitzHugh-Nagumo systems are studied.Then,the existence and uniqueness of their invariant measures,which mix exponentially are proved.Finally,the asymptotic behaviors of invariant measures when size of noise gets to zero are investigated.
文摘This paper is concerned with the asymptotic behavior of solutions for a class of non-autonomous fractional FitzHugh-Nagumo equations deriven by additive white noise. We first provide some sufficient conditions for the existence and uniqueness of solutions, and then prove the existence and uniqueness of tempered pullback random attractors for the random dynamical system generated by the solutions of considered equations in an appropriate Hilbert space. The proof is based on the uniform estimates and the decomposition of dynamical system.
基金supported by the National Natural Science Foundations of China(No.11071165,No.11071199)Natural Science Foundation of Guangxi(No.2013GXNSFBA019008)Department of Research Project of Guangxi Provincial(No.2013YB102)
文摘The present paper is devoted to the existence of the random attractor for partly dissipative stochastic lattice dynamical systems with multiplicative white noises.
基金Supported in part by Creative Research Group Fund of the National Natural Science Foundation of China(10721091)the 973-Project and RFDP (20040027009)
