Results 21 to 30 of about 20,660 (272)
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.
openaire +2 more sources
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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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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Trajectory and smooth attractors for Cahn-Hilliard equations with inertial term [PDF]
, 2009 The paper is devoted to a modification of the classical Cahn-Hilliard equation proposed by some physicists. This modification is obtained by adding the second time derivative of the order parameter multiplied by an inertial coefficient which is usually ...
Ambrosetti A +14 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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Dissipative chaotic scattering [PDF]
, 2002 We show that weak dissipation, typical in realistic situations, can have a metamorphic consequence on nonhyperbolic chaotic scattering in the sense that the physically important particle-decay law is altered, no matter how small the amount of dissipation.
Adilson E. Motter +17 more
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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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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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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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On attractors, spectra and bifurcations of random dynamical systems [PDF]
, 2015 In this thesis a number of related topics in random dynamical systems theory are studied: local attractors and attractor-repeller pairs, the exponential dichotomy spectrum and bifurcation theory.
Callaway, Mark
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