Results 41 to 50 of about 1,344,372 (340)
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
Phantom Cosmic Dynamics: Tracking Attractor and Cosmic Doomsday [PDF]
Phys.Rev.D70:043529,2004, 2003 We study the dynamics of phantom model and give the conditions for potentials to admit tracking attractor, de Sitter attractor and big rip attractor. Especially, we show that phantom models with exponential and inverse power law potentials do not admit the tracking attractor solution.
arxiv +1 more source
EXPONENTIAL ATTRACTOR FOR AN ADSORBATE-INDUCED PHASE TRANSITION MODEL
, 2002 T. Tsujikawa, A. Yagi
semanticscholar +3 more sources
Exponential attractors of the nonlinear wave equations [PDF]
Chinese Science Bulletin, 1998 The (E, E)-type exponential attractors for the nonlinear wave equation were obtained by using the decomposition of operators and finite covering method. This results solves the open problem of Edenet al.
Zhengde Dai, Dacai Ma
openaire +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.
H. Q. Lu, W. Fang, Zengguang Huang
openaire +4 more sources
Attractors. Then and now [PDF]
arXiv, 2022 This survey is dedicated to the 100th anniversary of Mark Iosifovich Vishik and is based on a number of mini-courses taught by the author at University of Surrey (UK) and Lanzhou University (China). It discusses the classical and modern results of the theory of attractors for dissipative PDEs including attractors for autonomous and non-autonomous ...
arxiv
, 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
Finite dimensional global and exponential attractors for a coupled time-dependent Ginzburg-Landau equations for atomic Fermi gases near the BCS-BEC crossover [PDF]
Sci. China Math., 55(1) (2012), 141-157, 2010 We study a coupled nonlinear evolution system arising from the Ginzburg-Landau theory for atomic Fermi gases near the BCS-BEC crossover. First, we prove that the initial boundary value problem generates a strongly continuous semigroup on a suitable phase-space which possesses the global attractor.
arxiv +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 ...
M. Zigzag +3 more
openaire +4 more sources
A robust family of exponential attractors for a linear time discretization of the Cahn-Hilliard equation with a source term [PDF]
arXiv, 2023 We consider a linear implicit-explicit (IMEX) time discretization of the Cahn-Hilliard equation with a source term, endowed with Dirichlet boundary conditions. For every time step small enough, we build an exponential attractor of the discrete-in-time dynamical system associated to the discretization.
arxiv