Results 11 to 20 of about 20,865 (289)

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   +3 more sources

Continuous Dependence on a Parameter of Exponential Attractors for Nonclassical Diffusion Equations

Discrete Dynamics in Nature and Society, 2020
In this paper, a new abstract result is given to verify the continuity of exponential attractors with respect to a parameter for the underlying semigroup.
Gang Wang, Chaozhu Hu
doaj   +1 more source

EXPONENTIAL ATTRACTOR FOR HINDMARSH-ROSE EQUATIONS IN NEURODYNAMICS

Journal of Applied Analysis & Computation, 2020
The existence of an exponential attractor for the diffusive Hindmarsh-Rose equations on a three-dimensional bounded domain originated in the study of neurodynamics is proved through uniform estimates together with a new theorem on the squeezing property of an abstract reaction-diffusion equation also proved in this paper.
Phan, Chi, You, Yuncheng
openaire   +2 more sources

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   +4 more sources

Chaos in fractional order financial model with fractal–fractional derivatives

Partial Differential Equations in Applied Mathematics, 2023
Recently, a new differential operator which combines fractal differentiation and fractional differentiation with different kernels such as power law, exponential decay, and the Mittag–Leffler function has been introduced.
Krunal B. Kachhia
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

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, Babin A, Babin A, Babin A V, Bonfoh A Grasselli M Miranville A, Chepyzhov V V, Debussche A, Galenko P, Gatti S, Giulio Schimperna, Grasselli M, Maurizio Grasselli, Miranville A, Novick-Cohen A, Sergey Zelik   +14 more
core   +2 more sources

Robust exponential attractors for a parabolic–hyperbolic phase-field system

Boundary Value Problems, 2018
In this paper, we construct a robust family of exponential attractors for a parabolic–hyperbolic phase-field system (PHPFS), which describes phase separation in material sciences, e.g., melting and solidification.
Cyril D. Enyi
doaj   +1 more source

Exponential Potentials and Attractor Solution of Dilatonic Cosmology [PDF]

International Journal of Theoretical Physics, 2007
We present the scalar-tensor gravitational theory with an exponential potential in which pauli metric is regarded as the physical space-time metric. We show that it is essentially equivalent to coupled quintessence(CQ) model. However for baryotropic fluid being radiation there are in fact no coupling between dilatonic scalar field and radiation.
Fang, Wei, Lu, H. Q., Huang, Z. G.
openaire   +2 more sources

Scaling solutions in general non-minimal coupling theories [PDF]

, 1999
A class of generalized non-minimal coupling theories is investigated, in search of scaling attractors able to provide an accelerated expansion at the present time.
A. R. Liddle, B. Ratra, C. Wetterich, C. Wetterich, D. B. Guenther, E. J. Copeland, F. S. Accetta, H. J. Schmidt, I. Zlatev, J. D. Barrow, J. Frieman, K. Coble, K. I. Maeda, L. Amendola, L. Amendola, L. Amendola, Luca Amendola, M. S. Turner, P. G. Ferreira, P. J. Steinhardt, P. Viana, R. R. Caldwell, S. Perlmutter, T. Futamase, U. Kasper   +24 more
core   +2 more sources