Results 21 to 30 of about 1,351,782 (335)
Open Mathematics, 2019 We first introduce the concept of the random uniform exponential attractor for a jointly continuous non-autonomous random dynamical system (NRDS) and give a theorem on the existence of the random uniform exponential attractor for a jointly continuous ...
Han Zongfei, Zhou Shengfan
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On an exponential attractor for a class of PDEs with degenerate diffusion and chemotaxis [PDF]
, 2017 In this article we deal with a class of strongly coupled parabolic systems that encompasses two different effects: degenerate diffusion and chemotaxis.
A. Eden +30 more
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Number of attractors in the critical Kauffman model is exponential [PDF]
Physical Review Letters, 2023 The Kauffman model is the archetypal model of genetic computation. It highlights the importance of criticality, at which many biological systems seem poised. In a series of advances, researchers have honed in on how the number of attractors in the critical regime grows with network size. But a definitive answer has proved elusive.
T. M. A. Fink, F. C. Sheldon
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Exponential Attractor for the Boussinesq Equation with Strong Damping and Clamped Boundary Condition
Discrete Dynamics in Nature and Society, 2016 The paper studies the existence of exponential attractor for the Boussinesq equation with strong damping and clamped boundary condition utt-Δu+Δ2u-Δut-Δg(u)=f(x). The main result is concerned with nonlinearities g(u) with supercritical growth.
Fan Geng +3 more
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Pullback Exponential Attractors for Nonautonomous Klein-Gordon-Schrödinger Equations on Infinite Lattices [PDF]
Abstract and Applied Analysis, 2013 This paper proves the existence of the pullback exponential attractor for the process associated to the nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices.
Chunqiu Li, Min Zhao, Caidi Zhao
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Weak Topologies for Carathéodory Differential Equations: Continuous Dependence, Exponential Dichotomy and Attractors [PDF]
, 2018 We introduce new weak topologies and spaces of Carath\'eodory functions where the solutions of the ordinary differential equations depend continuously on the initial data and vector fields.
Iacopo P. Longo +5 more
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Pullback Exponential Attractor for Second Order Nonautonomous Lattice System
Discrete Dynamics in Nature and Society, 2014 We first present some sufficient conditions for the existence of a pullback exponential attractor for continuous process on the product space of the weighted spaces of infinite sequences.
Shengfan Zhou, Hong Chen, Zhaojuan Wang
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AIMS Mathematics, 2023 We mainly study the existence of random uniform exponential attractors for non-autonomous stochastic Schrödinger lattice system with multiplicative white noise and quasi-periodic forces in weighted spaces.
Rou Lin, Min Zhao, Jinlu Zhang
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Open sets of Axiom A flows with Exponentially Mixing Attractors (with Erratum) [PDF]
Proceedings of the American Mathematical Society, 2018 For any dimension $d\geq 3$ we construct $C^{1}$-open subsets of the space of $C^{3}$ vector fields such that the flow associated to each vector field is Axiom A and exhibits a non-trivial attractor which mixes exponentially with respect to the unique ...
Araújo, Vítor +2 more
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Dynamical analysis for a scalar–tensor model with Gauss–Bonnet and non-minimal couplings
European Physical Journal C: Particles and Fields, 2017 We study the autonomous system for a scalar–tensor model of dark energy with Gauss–Bonnet and non-minimal couplings. The critical points describe important stable asymptotic scenarios including quintessence, phantom and de Sitter attractor solutions. Two
L. N. Granda, D. F. Jimenez
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