Results 41 to 50 of about 1,351,782 (335)

Exponential attractors for random dynamical systems and applications [PDF]

, 2012
The paper is devoted to constructing a random exponential attractor for some classes of stochastic PDE's. We first prove the existence of an exponential attractor for abstract random dynamical systems and study its dependence on a parameter and then ...
Shirikyan, Armen, Zelik, Sergey
core   +2 more sources

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, Varga Kalantarov, Orestis Vantzos   +2 more
openaire   +4 more sources

Dynamics of Assisted Inflation [PDF]

, 1998
We investigate the dynamics of the recently proposed model of assisted inflation. In this model an arbitrary number of scalar fields with exponential potentials evolve towards an inflationary scaling solution, even if each of the individual potentials is
A. B. Burd, A. D. Linde, A. D. Linde, A. H. Guth, A. R. Liddle, A. R. Liddle, C. Wetterich, C. Wetterich, D. La, D. S. Salopek, D. Wands, D. Wands, David Wands, E. J. Copeland, E. J. Copeland, F. Lucchin, H. Kodama, J. García-Bellido, J. García-Bellido, J. J. Halliwell, J. M. Bardeen, Karim A. Malik, M. Sasaki, P. G. Ferreira, P. G. Ferreira, P. T. P. Viana, V. F. Mukhanov   +26 more
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Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions

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
doaj   +1 more source

Quintessence arising from exponential potentials [PDF]

, 1999
We demonstrate how exponential potentials that could arise in the early Universe as a result of Kaluza-Klein type compactifications of string theory, can lead to cosmological solutions which correspond to the currently observed accelerating Universe. The
A. Albrecht, A. Masiero, A.G. Riess, A.M. Green, A.R. Liddle, B. Ratra, B. Spokoiny, C. Wetterich, D. Wands, D.J. Holden, E. J. Copeland, E.J. Copeland, E.J. Copeland, F. Perrotta, H. Lu, H.A. Chamblin, I. Zlatev, I.V. Lavrinenko, J.P. Uzan, L. Amendola, L. Wang, M. Bremer, M.C. Bento, N. Bartolo, N. J. Nunes, N.A. Bahcall, P. Binétruy, P. Brax, P. Brax, P.G. Ferreira, P.J. Steinhardt, P.J.E. Peebles, P.J.E. Peebles, R.R. Caldwell, S. Perlmutter, S. Perlmutter, S.W. Hawking, T. Barreiro, T. Barreiro, T. Chiba, T. Matos   +40 more
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Pullback exponential attractors

Discrete & Continuous Dynamical Systems - A, 2010
In this work, we show how to construct a pullback exponential attractor associated with an infinite dimensional dynamical system, i.e., a family of time dependent compact sets, with finite fractal dimension, which are positively invariant and exponentially attract in the pullback sense every bounded set of the phase space.
José A. Langa, Alain Miranville, José Real   +2 more
openaire   +1 more source

Global and exponential attractors for a Ginzburg-Landau model of superfluidity

Discrete & Continuous Dynamical Systems - S, 2010
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Alessia Berti, ,Facoltà di Ingegneria, Università e-Campus, 22060 Novedrate (CO), Valeria Berti, Ivana Bochicchio, ,Dipartimento di Matematica, Università di Bologna, 40126 Bologna, ,Dipartimento di Matematica e Informatica, Università di Salerno, 84084 Fisciano (SA)   +5 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, Seyed Mohammad Reza Hashemi Golpayegani   +1 more
doaj   +1 more source

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

Exponential Stability and Global Attractors for a Thermoelastic Bresse System

Advances in Difference Equations, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhiyong Ma
openalex   +4 more sources