Results 31 to 40 of about 34,502 (312)
Shadowing in random dynamical systems
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Yujun Zhu, Hongwen Zheng, Lianfa He
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Weak random periodic solutions of random dynamical systems
AbstractWe first introduce the concept of weak random periodic solutions of random dynamical systems. Then, we discuss the existence of such periodic solutions. Further, we introduce the definition of weak random periodic measures and study their relationship with weak random periodic solutions.
Sun, Wei, Zheng, Zuo-Huan
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On potential kernels associated with random dynamical systems [PDF]
Let \((\theta,\varphi)\) be a continuous random dynamical system defined on a probability space \((\Omega,\mathcal{F},\mathbb{P})\) and taking values on a locally compact Hausdorff space \(E\).
Mohamed Hmissi+2 more
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Random fluctuations in neuronal processes may contribute to variability in perception and increase the information capacity of neuronal networks. Various sources of random processes have been characterized in the nervous system on different levels ...
Pavel Kraikivski
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Mechanism of synchronization in a random dynamical system [PDF]
The mechanism of synchronization in the random Zaslavsky map is investigated. From the error dynamics of two particles, the structure of phase space was analyzed, and a transcritical bifurcation between a saddle and a stable fixed point was found. We have verified the structure of on-off intermittency in terms of a biased random walk.
Young-Jai Park+4 more
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New Methodology of Block Cipher Analysis using Chaos Game [PDF]
Block cipher analysis covers randomness analysis and cryptanalysis. This paper proposes a new method potentially used for randomness analysis and cryptanalysis. The method uses true random sequence concept as a reference for measuring randomness level of
Budi Sulistyo+3 more
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We mainly study the existence of random uniform exponential attractors for non-autonomous stochastic Schrödinger lattice system with multiplicative white noise and quasi-periodic forces in weighted spaces.
Rou Lin, Min Zhao, Jinlu Zhang
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Random Attractors for Stochastic Retarded Lattice Dynamical Systems
This paper is devoted to a stochastic retarded lattice dynamical system with additive white noise. We extend the method of tail estimates to stochastic retarded lattice dynamical systems and prove the existence of a compact global random attractor within
Xiaoquan Ding, Jifa Jiang
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Random attractors for stochastic two-compartment Gray-Scott equations with a multiplicative noise
In this paper, we consider the existence of a pullback attractor for the random dynamical system generated by stochastic two-compartment Gray-Scott equation for a multiplicative noise with the homogeneous Neumann boundary condition on a bounded domain of
Jia Xiaoyao, Gao Juanjuan, Ding Xiaoquan
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Dynamics of random spin systems [PDF]
We present inelastic neutron scattering experiments on three prototypical random magnets. For the dilute, insulating antiferromagnet Rb/sub 2/Co/sub c/Mg/sub 1-c/F/sub 4/, the randomness has purely geometrical consequences, and the anomalous dynamical behavior which we observe for c close to the magnetic percolation threshold is due to the fractal ...
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