Results 21 to 30 of about 20,865 (289)
Exponential Attractors for a Doubly Nonlinear Equation
Journal of Mathematical Analysis and Applications, 1994 The authors investigate the following scalar PDE: \[ \partial_ t \beta (u) = \Delta u - g(x,u) \quad \text{on} \quad \mathbb{R}_ + \times \Omega \tag{1} \] with \(u=0\) on \(\mathbb{R}_ + \times \partial \Omega\) and \(\beta (u(0,x)= \beta (u_ 0(x))\) for \(x \in \Omega\) for some given \(u_ 0\). Here \(\Omega \subseteq \mathbb{R}^ d\) with \(d \leq 3\)
Eden, A., Rakotoson, J.M.
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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
Abreu +9 more
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Some cosmological consequences of higher dimensional Klein–Gordon–Rastall theory
European Physical Journal C: Particles and Fields, 2023 Using dynamical system analysis, we investigate some cosmological consequences of Rastall gravity coupled to a scalar field (called the Klein–Gordon–Rastall theory) with exponential scalar potential turned on in higher dimensions.
Tegar Ari Widianto +4 more
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Qualitative Study of a 4D Chaos Financial System
Complexity, 2018 Some dynamics of a new 4D chaotic system describing the dynamical behavior of the finance are considered. Ultimate boundedness and global attraction domain are obtained according to Lyapunov stability theory.
Fuchen Zhang +4 more
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Exponential Stability and Global Attractors for a Thermoelastic Bresse System
Advances in Difference Equations, 2010 We consider the stability properties for thermoelastic Bresse system which describes the motion of a linear planar shearable thermoelastic beam. The system consists of three wave equations and two heat equations coupled in certain pattern.
Ma Zhiyong
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A q-deformed nonlinear map [PDF]
, 2004 A scheme of q-deformation of nonlinear maps is introduced. As a specific example, a q-deformation procedure related to the Tsallis q-exponential function is applied to the logistic map.
C Tsallis +13 more
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Abstract and Applied Analysis, 2013 The existence of the exponential attractors for coupled Ginzburg-Landau equations describing Bose-Einstein condensates and nonlinear optical waveguides and cavities with periodic initial boundary is obtained by showing Lipschitz continuity and the ...
Gui Mu, Jun Liu
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, 2000 A replicator equation with mutation processes is numerically studied. Without any mutations, two characteristics of the replicator dynamics are known: an exponential divergence of the dominance period, and hierarchical orderings of the attractors.
Chawanya T. +11 more
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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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Systemic modeling of chaotic EEG during human sleep
Informatics in Medicine Unlocked, 2023 The use of chaos theory in modeling biological signals is becoming increasingly common, especially in EEG signal processing for predicting and detecting different brain states.
Mahmoud Alipour +1 more
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