Regular Attractor by Strict Lyapunov Function for Random Dynamical Systems
Wasit Journal for Pure SciencesThe main objective of this paper is to study some types of random attractors in random dynamical systems based on the random strict Lyapunov function.
Hind Adnan Hashim
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Approximations of center manifolds for delay stochastic differential equations with additive noise
Advances in Nonlinear Analysis, 2023 This article deals with approximations of center manifolds for delay stochastic differential equations with additive noise. We first prove the existence and smoothness of random center manifolds for these approximation equations. Then we show that the Ck{
Wu Longyu +3 more
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Stability index of linear random dynamical systems
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Given a homogeneous linear discrete or continuous dynamical system, its stability index is given by the dimension of the stable manifold of the zero solution.
Anna Cima +2 more
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Random Attractors for Stochastic Retarded Reaction-Diffusion Equations on Unbounded Domains
Abstract and Applied Analysis, 2013 This paper is devoted to a stochastic retarded reaction-diffusion equation on all d-dimensional space with additive white noise. We first show that the stochastic retarded reaction-diffusion equation generates a random dynamical system by transforming ...
Xiaoquan Ding, Jifa Jiang
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Cutting Mechanism Rotor System Dynamic Characteristics of Cantilever Roadheader under Random Hard Rock Load [PDF]
, 2022 Zhonghai Zhang +4 more
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Diffusion-induced instability and chaos in random oscillator networks
, 2009 We demonstrate that diffusively coupled limit-cycle oscillators on random networks can exhibit various complex dynamical patterns. Reducing the system to a network analog of the complex Ginzburg-Landau equation, we argue that uniform oscillations can be ...
Alexander S. Mikhailov +3 more
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Embedding a Native State into a Random Heteropolymer Model: The Dynamic Approach
, 2003 We study a random heteropolymer model with Langevin dynamics, in the supersymmetric formulation. Employing a procedure similar to one that has been used in static calculations, we construct an ensemble in which the affinity of the system for a native ...
A. Baldassarri +49 more
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Dynamic properties of network motifs contribute to biological network organization. [PDF]
PLoS Biology, 2005 Biological networks, such as those describing gene regulation, signal transduction, and neural synapses, are representations of large-scale dynamic systems. Discovery of organizing principles of biological networks can be enhanced by embracing the notion
Robert J Prill +2 more
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Energy landscapes, supergraphs, and "folding funnels" in spin systems
, 1999 Dynamical connectivity graphs, which describe dynamical transition rates between local energy minima of a system, can be displayed against the background of a disconnectivity graph which represents the energy landscape of the system.
A. Gutin +27 more
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STATISTICAL STABILITY FOR DETERMINISTIC AND RANDOM DYNAMICAL SYSTEMS [PDF]
, 2021 Harry Crimmins
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