Results 21 to 30 of about 27,544 (311)

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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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

Random exponential attractor for second order non-autonomous stochastic lattice dynamical systems with multiplicative white noise in weighted spaces

Advances in Difference Equations, 2019
This paper is concerned with the random exponential attractor for second order non-autonomous stochastic lattice system with multiplicative white noise and unbounded nonlinearity.
Haijuan Su, Shengfan Zhou, Luyao Wu
doaj   +1 more source

Coexistence of exponentially many chaotic spin-glass attractors [PDF]

Physical Review E, 2011
A chaotic network of size $N$ with delayed interactions which resembles a pseudo-inverse associative memory neural network is investigated. For a load $ =P/N<1$, where $P$ stands for the number of stored patterns, the chaotic network functions as an associative memory of 2P attractors with macroscopic basin of attractions which decrease with ...
Peleg, Y., zigzag, M., Kinzel, W., Kanter, I.   +3 more
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
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Random uniform exponential attractor for stochastic non-autonomous reaction-diffusion equation with multiplicative noise in ℝ3

Open Mathematics, 2019
We first introduce the concept of the random uniform exponential attractor for a jointly continuous non-autonomous random dynamical system (NRDS) and give a theorem on the existence of the random uniform exponential attractor for a jointly continuous ...
Han Zongfei, Zhou Shengfan
doaj   +1 more source

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

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, A. V. Ivanov, A. Zhigun, Anna Zhigun, D. G. Aronson, D. Horstmann, E. DiBenedetto, E. Nakaguchi, E. Nakaguchi, H. Eberl, J. L. Vázquez, L. A. Caffarelli, M. Aida, M. Efendiev, M. Efendiev, M. Efendiev, M. Efendiev, M. Efendiev, M. Efendiev, M. Efendiev, M. Efendiev, M. Efendiev, M. Efendiev, M. Efendiev, M. Efendiev, M. Efendiev, M. Efendiev, Messoud Efendiev, N. Bellomo, O. Ladyzhenskaya, W. P. Ziemer   +30 more
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Exponential Attractor for a First-Order Dissipative Lattice Dynamical System

Journal of Applied Mathematics, 2008
We construct an exponential attractor for a first-order dissipative lattice dynamical system arising from spatial discretization of reaction-diffusion equations in ℝ𝑘. And we obtain fractal dimension of the exponential attractor.
Xiaoming Fan
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