Results 21 to 30 of about 7,941 (267)
The asymptotic number of attractors in the random map model [PDF]
Journal of Physics A: Mathematical and General, 2003 The random map model is a deterministic dynamical system in a finite phase space with n points. The map that establishes the dynamics of the system is constructed by randomly choosing, for every point, another one as being its image. We derive here explicit formulas for the statistical distribution of the number of attractors in the system.
Romero, David, Zertuche, Federico
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Entropy, 2020 In this paper, a new 4D hyperchaotic system is generated. The dynamic properties of attractor phase space, local stability, poincare section, periodic attractor, quasi-periodic attractor, chaotic attractor, bifurcation diagram, and Lyapunov index are ...
Lina Ding, Qun Ding
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Properties of attractors of canalyzing random Boolean networks [PDF]
Physical Review E, 2006 9 pages, 8 ...
Paul, U., Kaufman, V., Drossel, B.
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Uniformly Random Attractor for the Three-Dimensional Stochastic Nonautonomous Camassa-Holm Equations
Abstract and Applied Analysis, 2013 We consider the uniformly random attractor for the three-dimensional stochastic nonautonomous Camassa-Holm equations in the periodic box in this paper.
Zhehao Huang, Zhengrong Liu
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Random potentials and cosmological attractors [PDF]
Journal of Cosmology and Astroparticle Physics, 2017 I show that the problem of realizing inflation in theories with random potentials of a limited number of fields can be solved, and agreement with the observational data can be naturally achieved if at least one of these fields has a non-minimal kinetic term of the type used in the theory of cosmological $α$-attractors.
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Connectedness of random set attractors [PDF]
Rendiconti Lincei, Matematica e Applicazioni, 2018 We examine the question whether random set attractors for continuous-time random dynamical systems on a connected state space are connected. In the deterministic case, these attractors are known to be connected. In the probabilistic setup, however, connectedness has only been shown under stronger connectedness assumptions on the ...
Scheutzow, Michael, Vorkastner, Isabell
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Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise
Journal of Function Spaces, 2018 In this paper, the existence and the upper semicontinuity of a pullback attractor for stochastic retarded 2D-Navier-Stokes equation on a bounded domain are obtained.
Xiaoyao Jia, Xiaoquan Ding
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Advances in Difference Equations, 2019 This paper is concerned with the random exponential attractor for second order non-autonomous stochastic lattice system with multiplicative white noise and unbounded nonlinearity.
Haijuan Su, Shengfan Zhou, Luyao Wu
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Random Delta-Hausdorff-attractors
Discrete and Continuous Dynamical Systems - B, 2018 v1: 20 pages v2: 20 pages, corrected typos, streamlined ...
Scheutzow, Michael +1 more
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Convergence to local random attractors [PDF]
Dynamical Systems, 2003 Random attractors allow one to classify qualitative and quantitative aspects of the long-time behaviourof stochastically forced systems viewed as random dynamical systems (RDS) in an analogous way to attractors for deterministic systems. We compare several notions of random attractor in RDS by examining convergence of trajectories to a random invariant
Ashwin, Peter, Ochs, Gunter
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