Results 21 to 30 of about 1,859,718 (319)
Global and exponential attractors for a nonlinear porous elastic system with delay term
Discrete & Continuous Dynamical Systems - B, 2021 This paper is concerned with the study on the existence of attractors for a nonlinear porous elastic system subjected to a delay-type damping in the volume fraction equation.
M. D. Dos Santos +3 more
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AIMS Mathematics, 2021 In this paper, the dynamical behavior of the nonclassical diffusion equation is investigated. First, using the asymptotic regularity of the solution, we prove that the semigroup $ \{S(t)\}_{t\geq 0} $ corresponding to this equation satisfies the global ...
Jianbo Yuan +3 more
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Number of Attractors in the Critical Kauffman Model Is Exponential
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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Journal of Applied Mathematics and Physics, 2021 In this paper, we studied a family of the exponential attractors and the inertial manifolds for a class of generalized Kirchhoff-type equations with strong dissipation term.
Guoguang Lin, Lujiao Yang
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Pullback exponential attractors for differential equations with delay
Discrete and Continuous Dynamical Systems. Series A, 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
S. Netchaoui +2 more
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Existence of exponential attractors for the coupled system of suspension bridge equations
Boundary Value Problems, 2023 In this paper, we investigate the asymptotic behavior of the coupled system of suspension bridge equations. Under suitable assumptions, we obtain the existence of exponential attractors by using the decomposing technique of operator semigroup.
Jun-dong Jin
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Continuous Dependence on a Parameter of Exponential Attractors for Nonclassical Diffusion Equations
Discrete Dynamics in Nature and Society, 2020 In this paper, a new abstract result is given to verify the continuity of exponential attractors with respect to a parameter for the underlying semigroup.
Gang Wang, Chaozhu Hu
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EXPONENTIAL ATTRACTOR FOR HINDMARSH-ROSE EQUATIONS IN NEURODYNAMICS
Journal of Applied Analysis & Computation, 2020 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 of an abstract reaction-diffusion equation also proved in this paper.
Phan, Chi, You, Yuncheng
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Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]
, 2009 This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A. +3 more
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Exponential Potentials and Attractor Solution of Dilatonic Cosmology [PDF]
International Journal of Theoretical Physics, 2007 We present the scalar-tensor gravitational theory with an exponential potential in which pauli metric is regarded as the physical space-time metric. We show that it is essentially equivalent to coupled quintessence(CQ) model. However for baryotropic fluid being radiation there are in fact no coupling between dilatonic scalar field and radiation.
Fang, Wei, Lu, H. Q., Huang, Z. G.
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