Results 31 to 40 of about 6,616 (301)
Random lasing from Anderson attractors [PDF]
, 2022 We introduce and study a two-dimensional dissipative nonlinear Anderson pumping model which is characterized by localized or delocalized eigenmodes in a linear regime and in addition includes nonlinearity, dissipation and pumping.
José Lages (4797633) +2 more
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Discrete Dynamics in Nature and Society, 2016 We study nonautonomous stochastic sine-Gordon lattice systems with random coupled coefficients and multiplicative white noise. We first consider the existence of random attractors in a weighted space for this system and then establish the upper ...
Zhaojuan Wang, Shengfan Zhou
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Open Mathematics, 2021 The incompressible 2D stochastic Navier-Stokes equations with linear damping are considered in this paper. Based on some new calculation estimates, we obtain the existence of random attractor and the upper semicontinuity of the random attractors as ε→0 ...
Li Haiyan, Wang Bo
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Random attractors for Ginzburg–Landau equations driven by difference noise of a Wiener-like process
Advances in Difference Equations, 2019 We consider a Wong–Zakai process, which is the difference of a Wiener-like process. We then prove that there are random attractors for non-autonomous Ginzburg–Landau equations driven by linear multiplicative noise in terms of Wong–Zakai process and ...
Fengling Wang, Jia Li, Yangrong Li
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Asymptotic Behavior of the Stochastic Rayleigh-van der Pol Equations with Jumps
Abstract and Applied Analysis, 2013 We study the stability, attractors, and bifurcation of stochastic Rayleigh-van der Pol equations with jumps. We first established the stochastic stability and the large deviations results for the stochastic Rayleigh-van der Pol equations. We then examine
ZaiTang Huang, ChunTao Chen
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Random attractors for stochastic partly dissipative systems [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2020 AbstractWe prove the existence of a global random attractor for a certain class of stochastic partly dissipative systems. These systems consist of a partial and an ordinary differential equation, where both equations are coupled and perturbed by additive white noise.
Christian Kuehn +2 more
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Correction to: Criteria for Strong and Weak Random Attractors [PDF]
, 2023 In the article 'Criteria for Strong and Weak Random Attractors' necessary and sufficient conditions for strong attractors and weak attractors are studied.
Scheutzow, Michael +2 more
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Exponential attractors for random dynamical systems and applications [PDF]
, 2012 The paper is devoted to constructing a random exponential attractor for some classes of stochastic PDE's. We first prove the existence of an exponential attractor for abstract random dynamical systems and study its dependence on a parameter and then ...
Shirikyan, A +3 more
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The Dynamics of Canalizing Boolean Networks
Complexity, 2020 Boolean networks are a popular modeling framework in computational biology to capture the dynamics of molecular networks, such as gene regulatory networks.
Elijah Paul +3 more
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Number of attractors in random Boolean networks [PDF]
Physical Review E, 2005 The evaluation of the number of attractors in Kauffman networks by Samuelsson and Troein is generalized to critical networks with one input per node and to networks with two inputs per node and different probability distributions for update functions.
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