Results 41 to 50 of about 34,502 (312)
Random cyclic dynamical systems
Advances in Applied Mathematics, 2017 For X a finite subset of the circle and for 0 < r <= 1 fixed, consider the function f_r : X -> X which maps each point to the clockwise furthest element of X within angular distance less than 2 pi r. We study the discrete dynamical system on X generated by f_r, and especially its expected behavior when X is a large random set. We show that, as
Michał Adamaszek +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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Recurrence for random dynamical systems
Discrete & Continuous Dynamical Systems - A, 2011 This paper is a first step in the study of the recurrence behavior in random dynamical systems and randomly perturbed dynamical systems. In particular we define a concept of quenched and annealed return times for systems generated by the composition of random maps. We moreover prove that for super-polynomially mixing systems, the random recurrence rate
Marie, Philippe, Rousseau, Jerome
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Distributional chaos in random dynamical systems [PDF]
Journal of Difference Equations and Applications, 2019 In this paper, we introduce the notion of distributional chaos and the measure of chaos for random dynamical systems generated by two interval maps. We give some sufficient conditions for a zero measure of chaos and examples of chaotic systems. We demonstrate that the chaoticity of the functions that generate a system does not, in general, affect the ...
Jozef Kováč, Katarína Janková
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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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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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Quadratic response of random and deterministic dynamical systems [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2020 We consider the linear and quadratic higher-order terms associated with the response of the statistical properties of a dynamical system to suitable small perturbations. These terms are related to the first and second derivative of the stationary measure with respect to the changes in the system itself, expressing how the statistical properties of the ...
Stefano Galatolo, Julien Sedro
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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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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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STOCHASTIC OPTIMAL CONTROL OF A TWO-DIMENSIONAL DYNAMICAL SYSTEM [PDF]
Journal of Engineering Science (Chişinău), 2020 In this paper, we considered the problem of optimally controlling a twodimensional dynamical system until it reaches either of two boundaries. We consider a controlled dynamical system (X(t), Y(t)) which is a generalization of the classic twodimensional ...
Lefebvre, Mario
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