Results 31 to 40 of about 1,323,147 (330)
Finite-dimensional exponential attractor for a model for order-disorder and phase separation
, 1994 D. Brochet +2 more
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Exact analysis of scaling and dominant attractors beyond the exponential potential [PDF]
, 2009 By considering the potential parameter $\Gamma$ as a function of another potential parameter $\lambda$[47], We successfully extend the analysis of two-dimensional autonomous dynamical system of quintessence scalar field model to the analysis of three ...
Fang Wei, Ying Li, Kai Zhang, H. Q. Lu
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AIMS Mathematics, 2022 We consider a time semidiscretization of the Ginzburg-Landau equation by the backward Euler scheme. For each time step τ, we build an exponential attractor of the dynamical system associated to the scheme.
Narcisse Batangouna
doaj +1 more source
Exponential approach to the hydrodynamic attractor in Yang-Mills kinetic theory [PDF]
Physical Review D, 2022 We use principal component analysis to study the hydrodynamic attractor in Yang-Mills kinetic theory undergoing the Bjorken expansion with Color Glass Condensate initial conditions.
Xiaojian Du +3 more
semanticscholar +1 more source
Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
wiley +1 more source
Exponential attractors of the nonlinear wave equations [PDF]
Chinese Science Bulletin, 1998 This paper is devoted to the exponential attractors of nonlinear wave equations of the form: \[ \begin{cases} u_{tt}+ \alpha u_t-\Delta u+g(u)= f(x), (x,t) \in\Omega \times\mathbb{R}_+,\\ u|_{\partial \Omega}=0,\;u(x,0)=u_0(x),\;u_t(x,0)= u_1(x).\end{cases} \] The authors prove \(H^1_0(\Omega)\times L^2 (\Omega)\)-type exponential attractors using both
Zhengde Dai, Dacai Ma
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AIMS Mathematics, 2023 Our aim in this paper is to study generalizations of the Caginalp phase-field system based on a thermomechanical theory involving two temperatures and a nonlinear coupling. In particular, we prove well-posedness results. More precisely, the existence and
Grace Noveli Belvy Louvila +3 more
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Discrete & Continuous Dynamical Systems - B, 2020 We mainly consider the existence of a random exponential attractor (positive invariant compact measurable set with finite fractal dimension and attracting orbits exponentially) for stochastic discrete long wave-short wave resonance equation driven by ...
Xingni Tan, Fuqi Yin, Guihong Fan
semanticscholar +1 more source
Exponential attractors for non-autonomous dissipative system [PDF]
Journal of the Mathematical Society of Japan, 2011 In this paper we will introduce a version of exponential attractor for non-autonomous equations as a time dependent set with uniformly bounded finite fractal dimension which is positively invariant and attracts every bounded set at an exponential rate. This is a natural generalization of the existent notion for autonomous equations.
Messoud, Efendiev +2 more
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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
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