Results 31 to 40 of about 40,691 (307)
Dynamics of the stochastic wave equations with degenerate memory effects on bounded domain [PDF]
Surveys in Mathematics and its Applications, 2022 In this work, we consider the behavior of long-time dynamics of a random dynamical system generated wave equations with degenerate memory and additive noise, on bounded domain U, with Dirichlet boundary condition, and nonlinear term f(u) with critical ...
Abdelmajid A. D. +3 more
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, 2022 In 1964 Lochs proved a theorem on the number of continued fraction digits of a real number x that can be determined from just knowing its first n decimal digits. In 2001 this result was generalised to a dynamical systems setting by Dajani and Fieldsteel,
Verbitskiy, Evgeny +2 more
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Hopf Bifurcation Analysis for a Stochastic Discrete-Time Hyperchaotic System
Discrete Dynamics in Nature and Society, 2015 The dynamics of a discrete-time hyperchaotic system and the amplitude control of Hopf bifurcation for a stochastic discrete-time hyperchaotic system are investigated in this paper.
Jie Ran +3 more
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Synchronization of dissipative dynamical systems driven by non-Gaussian Lévy noises
, 2010 Dynamical systems driven by Gaussian noises have been considered extensively in modeling, simulation, and theory. However, complex systems in engineering and science are often subject to non-Gaussian fluctuations or uncertainties.
Kloeden, Peter E. +3 more
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Antagonistic interactions can stabilise fixed points in heterogeneous linear dynamical systems
SciPost Physics, 2023 We analyse the stability of large, linear dynamical systems of variables that interact through a fully connected random matrix and have inhomogeneous growth rates.
Samuel Cure, Izaak Neri
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Structural stability of linear random dynamical systems
, 1996 In this paper, structural stability of discrete-time linear random dynamical systems is studied. A random dynamical system is called structurally stable with respect to a random norm if it is topologically conjugate to any random dynamical system which ...
Nguyen Dinh Cong
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Stability-preserving model order reduction for linear stochastic Galerkin systems
Journal of Mathematics in Industry, 2019 Mathematical modeling often yields linear dynamical systems in science and engineering. We change physical parameters of the system into random variables to perform an uncertainty quantification.
Roland Pulch
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Journal of Mathematics, 2021 With the increasing load and speed of trains, the problems caused by various random excitations (such as safety and passenger comfort) have become more prominent and thus arises the necessity to analyze stochastic dynamical systems, which is important in
Yang Yan, Xiaohong Yu
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, 2009 In this paper, we consider a non-autonomous stochastic Lotka-Volterra competitive system dxi(t) = xi(t)[(bi(t)¡ nPj=1aij (t)xj (t))dt+¾i(t)dBi(t)], where Bi(t) (i = 1; 2; ¢ ¢ ¢ ; n) are independent standard Brownian motions. Some dynamical properties are
Key Laboratory for Applied Statistics of MOE (KLAS) (Funder) +7 more
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Dynamical behaviors of stochastic local Swift-Hohenberg equation on unbounded domain
Journal of Inequalities and Applications, 2016 In this paper, we first study the deterministic Swift-Hohenberg equation on a bounded domain. After obtaining some a priori estimates by the uniform Gronwall inequality, we prove the existence of an attractor by the Sobolev compact embeddings.
CX Guo, YY Chen, YF Guo
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