EXPONENTIAL ATTRACTOR FOR HINDMARSH-ROSE EQUATIONS IN NEURODYNAMICS [PDF]
Journal of Applied Analysis & Computation, 2019 The existence of an exponential attractor for the diffusive Hindmarsh-Rose equations on a three-dimensional bounded domain originated in the study of neurodynamics is proved through uniform estimates together with a new theorem on the squeezing property ...
Chi Phan, Y. You
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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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Dynamic analysis of a delayed COVID-19 epidemic with home quarantine in temporal-spatial heterogeneous via global exponential attractor method. [PDF]
Chaos Solitons Fractals, 2021 Zhu CC, Zhu J.
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Chevron pattern equations: exponential attractor and global stabilization [PDF]
Vietnam Journal of Mathematics, 2021 The initial boundary value problem for a nonlinear system of equations modeling the chevron patterns is studied in one and two spatial dimensions. The existence of an exponential attractor and the stabilization of the zero steady state solution through application of a finite-dimensional feedback control is proved in two spatial dimensions.
Habiba Kalantarova +2 more
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A construction of a robust family of exponential attractors [PDF]
Proceedings of the American Mathematical Society, 2005 Given a dissipative strongly continuous semigroup depending on some parameters, we construct a family of exponential attractors which is robust, in the sense of the symmetric Hausdorff distance, with respect to (even singular) perturbations.
Stefania Gatti +3 more
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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 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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Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions [PDF]
Journal of Applied Mathematics, 2013 We study exponential attractors for semilinear parabolic equations with dynamic boundary conditions in bounded domains. First, we give the existence of the exponential attractor in by proving that the corresponding semigroup satisfies the enhanced ...
Zhao-hui Fan
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Exponential attractor for Kirchhoff model with time delay and thermal effect
Results in Applied Mathematics, 2023 The Kirchhoff model is derived from the vibration problem of stretchable strings. In this paper, we focus on the long-time dynamics of the Kirchhoff model with time delay and thermal effect.
Penghui Lv, Guoguang Lin
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On an exponential attractor for a class of PDEs with degenerate diffusion and chemotaxis [PDF]
Discrete & Continuous Dynamical Systems - A, 2017 In this article we deal with a class of strongly coupled parabolic systems that encompasses two different effects: degenerate diffusion and chemotaxis.
M. Efendiev, A. Zhigun
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