Results 31 to 40 of about 319,639 (338)
On potential kernels associated with random dynamical systems [PDF]
Opuscula Mathematica, 2015 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
doaj +1 more source
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
doaj +1 more source
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
doaj
Random periodic solutions of random dynamical systems
Journal of Differential Equations, 2009 In this paper, we give the definition of the random periodic solutions of random dynamical systems. We prove the existence of such periodic solutions for a $C^1$ perfect cocycle on a cylinder using a random invariant set, the Lyapunov exponents and the pullback of the cocycle.
Zhao, Huaizhong, Zheng, Zuo-Huan
openaire +2 more sources
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, Armen, Zelik, Sergey
core +2 more sources
Dynamics of random spin systems [PDF]
Physica B+C, 1986 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 ...
openaire +1 more source
Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise [PDF]
, 2016 In this paper we investigate the long term behavior of a stochastic lattice dynamical system with a diffusive nearest neighbor interaction, a dissipative nonlinear reaction term, and a different multiplicative white noise at each node. We prove that this
Caraballo Garrido, Tomás +3 more
core +1 more source
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
doaj +1 more source
Pesin's Formula for Random Dynamical Systems on $R^d$
, 2012 Pesin's formula relates the entropy of a dynamical system with its positive Lyapunov exponents. It is well known, that this formula holds true for random dynamical systems on a compact Riemannian manifold with invariant probability measure which is ...
D Ruelle +8 more
core +1 more source
Dynamics of a Simple Quantum System in a Complex Environment [PDF]
, 1997 We present a theory for the dynamical evolution of a quantum system coupled to a complex many-body intrinsic system/environment. By modelling the intrinsic many-body system with parametric random matrices, we study the types of effective stochastic ...
A. B. Balantekin +43 more
core +2 more sources