Results 31 to 40 of about 754,834 (272)
Weak pullback attractors of setvalued processes
Journal of Mathematical Analysis and Applications, 2003 Weak pullback attractors are de ned for nonautonomous setvalued processes and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and pullback attraction here are required only for at least one trajectory rather than all trajectories at each starting point.
Tomás Caraballo +2 more
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Electronic Journal of Applied Mathematics, 2023 This paper focuses on the dynamics of a class of nonlinear, reversible, random $p-Laplace Selkov delay lattice systems defined by local lipschitz noise-driven $\mathbb{Z}^d$.
Yan Wang +3 more
semanticscholar +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We present sufficient conditions to obtain a generalized (φ,D)$$ \left(\varphi, \mathfrak{D}\right) $$‐pullback attractor for evolution processes on time‐dependent phase spaces, where φ$$ \varphi $$ is a given decay function and D$$ \mathfrak{D} $$ is a given universe.
Matheus C. Bortolan +3 more
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Pullback exponential attractors for differential equations with delay
Discrete & Continuous Dynamical Systems - S, 2021 We show the existence of an exponential attractor for non-autono-mous dynamical system with bounded delay. We considered the case of strong dissipativity then prove that the result remains for the weak dissipativity. We conclude then the existence of the global attractor and ensure the boundedness of its fractal dimension.
Tarfia s +4 more
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On the Dimension of Pullback Attractors in Recurrent Neural Networks [PDF]
Recurrent Neural Networks (RNNs) are high-dimensional state space models capable of learning functions on sequence data. Recently, it has been conjectured that reservoir computers, a particular class of RNNs, trained on observations of a dynamical systems can be interpreted as embeddings.
Muhammed Fadera
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Pullback attractors of the Jeffreys–Oldroyd equations [PDF]
Journal of Differential Equations, 2016 Abstract We study the dynamics of the Jeffreys–Oldroyd equation using the theory of trajectory pullback attractors. We prove an existence theorem for weak solutions and use it to construct a family of trajectory spaces and to specify the class of attracted families of sets, which includes families bounded in the past.
Zvyagin, Victor, Kondratyev, Stanislav
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Regularity and structure of pullback attractors for reaction-diffusion type systems without uniqueness [PDF]
, 2016 In this paper, we study the pullback attractor for a general reaction-diffusion system for which the uniqueness of solutions is not assumed. We first establish some general results for a multi-valued dynamical system to have a bi-spatial pullback ...
Cui, Hongyong +2 more
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Random attractors for stochastic two-compartment Gray-Scott equations with a multiplicative noise
Open Mathematics, 2016 In this paper, we consider the existence of a pullback attractor for the random dynamical system generated by stochastic two-compartment Gray-Scott equation for a multiplicative noise with the homogeneous Neumann boundary condition on a bounded domain of
Jia Xiaoyao, Gao Juanjuan, Ding Xiaoquan
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Connectedness of random set attractors [PDF]
, 2017 Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich.This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence
Scheutzow, Michael, Vorkastner, Isabell
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Pullback-Forward Dynamics for Damped Schrödinger Equations with Time-Dependent Forcing
Discrete Dynamics in Nature and Society, 2018 This paper deals with pullback dynamics for the weakly damped Schrödinger equation with time-dependent forcing. An increasing, bounded, and pullback absorbing set is obtained if the forcing and its time-derivative are backward uniformly integrable. Also,
Lianbing She, Yangrong Li, Renhai Wang
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