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The stochastic resonance phenomenon induced by Lévy noise in a second-order and under-damped bistable system is investigated. The signal-to-noise ratio for different parameters is computed by an efficient numerical scheme. The influences of the intensity and stability index of Lévy noise, as...
Persistent link: https://www.econbiz.de/10010843666
In this paper, a stochastic system with correlation between non-Gaussian noise and Gaussian colored noise is investigated. We carry out the functional methods to derive the approximate Fokker–Planck equation, and the expressions of stationary probability density function and mean first-passage...
Persistent link: https://www.econbiz.de/10010872031
This paper is to continue our study on complex beam–beam interaction models in particle accelerators with random excitations Y. Xu, W. Xu, G.M. Mahmoud, On a complex beam–beam interaction model with random forcing [Physica A 336 (2004) 347–360]. The random noise is taken as the form of...
Persistent link: https://www.econbiz.de/10011057654
In recent years, many studies have been devoted to complex differential equations (CDE), which appear in very important applications in physics and engineering. This paper aims to investigate one such CDE, containing a random forcing term:...
Persistent link: https://www.econbiz.de/10011058179
In the present paper, a class of stochastic time-delayed systems driven by correlated Gaussian white noises are considered. Novikov’s theorem is used to derive delay Fokker–Planck equations. In the case of small time delays, approximate stationary solutions are obtained. As a special case,...
Persistent link: https://www.econbiz.de/10011061268
Persistent link: https://www.econbiz.de/10009573236
Persistent link: https://www.econbiz.de/10012202447
The aim of this paper is to investigate the phenomenon of projective synchronization (PS) and modified projective synchronization (MPS) of hyperchaotic attractors of hyperchaotic complex Lorenz system which has been introduced recently in our work. The control problem of these attractors is also...
Persistent link: https://www.econbiz.de/10010749162
An approximate analytical method, based on the generalized averaging method is extended to study periodic solutions of parametrically excited complex non-linear dynamical systems. It is well known that a great many problems of applied sciences often lead to the study of these dynamical systems....
Persistent link: https://www.econbiz.de/10010588547
Systems of nonlinear differential equations with periodic coefficients, which include Hill's and Mathieu's equations as examples in the linear limit, are important from a practical point of view. Nonlinear Hill's equations model a variety of dynamical systems of interest to physics and...
Persistent link: https://www.econbiz.de/10010589215