Results 41 to 50 of about 1,323,147 (330)

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 Real, Alain Miranville, José A. Langa   +2 more
openaire   +2 more sources

Pullback exponential attractors for differential equations with delay

Discrete & Continuous Dynamical Systems - S, 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 global attractor and ensure the boundedness of its fractal dimension.
Tarfia s, Mohamed Hammami, Sana Netchaoui, n, Sevilla, Spain, Tomás Caraballo   +4 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
core   +2 more sources

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 \(d \leq 3\)
Alp Eden, J.M. Rakotoson
openaire   +3 more sources

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
core   +2 more sources

Random uniform exponential attractors for non-autonomous stochastic Schrödinger lattice systems in weighted space

AIMS Mathematics, 2023
We mainly study the existence of random uniform exponential attractors for non-autonomous stochastic Schrödinger lattice system with multiplicative white noise and quasi-periodic forces in weighted spaces.
Rou Lin, Min Zhao, Jinlu Zhang
doaj   +1 more source

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

Random attractor and random exponential attractor for stochastic non-autonomous damped cubic wave equation with linear multiplicative white noise

, 2018
In this paper, we first establish some sufficient conditions for the existence and construction of a random exponential attractor for a continuous cocycle on a separable Banach space.
Zhaojuan Wang, Shengfan Zhou
semanticscholar   +1 more source

Chaotic systems with variable indexs for image encryption application

Scientific Reports, 2022
A new chaotic system is obtained by changing the number of unknown parameters. The dynamical behavior of the chaotic system is investigated by the exponential change of the single unknown parameter and the state variable in the nonlinear term of the ...
Minxiu Yan, Jingfeng Jie, Ping Zhang
doaj   +1 more source

Scaling solution, radion stabilization, and initial condition for brane-world cosmology [PDF]

, 2003
We propose a new, self-consistent and dynamical scenario which gives rise to well-defined initial conditions for five-dimensional brane-world cosmologies with radion stabilization.
A. Aurilia, A. Chamblin, A. Kehagias, A. Lukas, A. Lukas, A.A. Coley, A.A. Coley, A.A. Coley, A.P. Billyard, A.P. Billyard, A.R. Liddle, Alan Coley, C. Csaki, C. Csaki, C. Csaki, D. Ida, E.E. Flanagan, H. Kudoh, H. Kudoh, H. Kudoh, H.S. Reall, J. Garriga, J. Garriga, J.M. Cline, K. Koyama, K. Maeda, L. Antoniadis, L. Randall, L. Randall, M. Sasaki, M. Visser, M.S. Bremer, N. Arkani-Hamed, N. Arkani-Hamed, P. Binétruy, P. Bowcock, P. Kanti, P. Kanti, P. Kraus, R. Emparan, R. Emparan, R. Emparan, R. Maartens, R.J. van den Hoogen, S. Mukohyama, S. Mukohyama, S. Mukohyama, S. Mukohyama, S. Mukohyama, S. Mukohyama, S. Mukohyama, S. Mukohyama, S.B. Giddings, Shinji Mukohyama, T. Shiromizu, T. Shiromizu, T. Tanaka, T. Tanaka, V.A. Rubakov, W.D. Goldberger   +59 more
core   +1 more source