Results 81 to 90 of about 319,566 (236)
Mean-square random dynamical systems
Two-parameter semigroups operating on the space \(L^2(\Omega,P;\mathbb R^d)\) of square-integrable \(\mathbb R^d\)-valued random variables are introduced in order to investigate random or stochastic differential equations with non-local coefficients. Assuming exponential contraction of differences of trajectories in the course of time, uniform in the ...
Kloeden, Peter E., Lorenz, Thomas
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Continuous random dynamical systems
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Are chaotic systems dynamically random? [PDF]
Abstract Physical systems can be characterized by several types of complexity measures which indicate the computational resources employed. With respect to these measures, several chaos classes may be distinguished. These exists a constructive approach to random physical motion which operates with computable initial values and deterministic evolution
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A Stochastic Weakly Damped, Forced KdV-BO Equation
We investigate the long time behavior of the damped, forced KdV-BO equation driven by white noise. We first show that the global solution generates a random dynamical system.
Guolian Wang
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Shadowing in random dynamical systems
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He, Lianfa, Zhu, Yujun, Zheng, Hongwen
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Random attractors for the stochastic coupled suspension bridge equations of Kirchhoff type
This paper is devoted to the dynamical behavior of stochastic coupled suspension bridge equations of Kirchhoff type. For the deterministic cases, there are many classical results such as existence and uniqueness of a solution and long-term behavior of ...
Ling Xu, Jianhua Huang, Qiaozhen Ma
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Generating a Random Dynamical System
In this paper we shall create a new random dynamical system from old one. One of the most important of them, is the product of two random dynamical systems, which is also random dynamical system. This technique will be very important to detailed study of the random dynamical system.
Salah H. Abid, Ihsan J. Kadhim
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Metastability, Lyapunov exponents, escape rates, and topological entropy in random dynamical systems [PDF]
Gary Froyland, Ognjen Stancevic
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The Holling Type II Population Model Subjected to Rapid Random Attacks of Predator
We present the analysis of a mathematical model of the dynamics of interacting predator and prey populations with the Holling type random trophic function under the assumption of random time interval passage between predator attacks on prey. We propose a
Jevgeņijs Carkovs +2 more
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Long Term Effects of Small Random Perturbations on Dynamical Systems: Theoretical and Computational Tools [PDF]
Tobias Grafke +2 more
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