Results 291 to 300 of about 1,859,718 (319)

Exponential attractors for a generalized ginzburg-landau equation

Applied Mathematics and Mechanics, 1995
Based on the paper [1], we obtain the existence of exponential attractors for a generalized Ginzburg-Landau equation in one ...
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A global attractor consisting of exponentially unstable equilibria

2013 American Control Conference, 2013
There exist examples in the literature of attractors consisting solely of unstable equilibria, but in these examples, the unstable equilibria are not exponentially unstable (the differentials of the vector fields at the unstable equilibria have no eigenvalues in the open right-half complex plane).
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Continuity Properties of Pullback and Pullback Exponential Attractors for Non-autonomous Plate with $$p-$$ p - Laplacian

Applied Mathematics and Optimization, 2023
M. Aouadi
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A uniformly exponential random forward attractor which is not a pullback attractor

Archiv der Mathematik, 2002
The author constructs an example of a random forward attractor for a random dynamical system (RDS) that is not a pullback attractor which is one of 3 possible notions of an attractor one can naturally define for RDS (and which all coincide for deterministic dynamical systems).
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Pullback Exponential Attractors for Non-autonomous Recurrent Neural Networks with Discrete and Distributed Time-Varying Delays

Journal of Dynamics and Differential Equations, 2021
Lin Yang, Ye-Juan Wang, P. Kloeden
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Exponential attractors for semigroups in Banach spaces

Nonlinear Analysis: Theory, Methods & Applications, 2012
The authors discussed the existence of exponential attractors for abstract semigroups in Banach spaces. Let \(X\) be a Banach space, \(\{S(t)\;|\;t\geq 0\}\) be a semigroup on \(X\), \(\mathcal{A}\) be the global attractor of \(\{S(t)\;|\;t\geq 0\}\), and \(B_{\varepsilon_0}(\mathcal{A})\) denote the \(\varepsilon_0\)-neighborhood of \(\mathcal{A}\) in
Zhong, Yansheng, Zhong, Chengkui
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Pullback Exponential Attractors for Non-autonomous Lattice Systems

Journal of Dynamics and Differential Equations, 2012
The authors first present some sufficient conditions for the existence and the construction of a pullback exponential attractor for the continuous process (non-autonomous dynamical system) on Banach spaces and weighted spaces of infinite sequences. Then they apply the results to study the existence of pullback exponential attractors for first-order non-
Zhou, Shengfan, Han, Xiaoying
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A Remark on Two Constructions of Exponential Attractors for α-Contractions

Journal of Dynamics and Differential Equations, 1998
This paper proposes an improvement to the original constructions of exponential attractors. An exponential attractor for a continuous map on a compact invariant set \(B\) is a compact, invariant subset \(M\) of \(B\) with finite fractal dimension that contains the global attractor \(A\) which is the \(\omega\)-limit set of \(B\) and attracts all points
Eden, A., Foias, C., Kalantarov, V.
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Pullback exponential attractors for a class of non-Newtonian micropolar fluids

, 2021
Chengfei Ai, Zhong Tan
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Exponential Attractors

2004
Albert J. Milani, Norbert J. Koksch
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