Results 31 to 40 of about 1,344,372 (340)
Finite-dimensional exponential attractor for a model for order-disorder and phase separation
, 1994 D. Brochet, D. Hilhorst, A. Novick-Cohen
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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
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
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
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 +4 more
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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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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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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
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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 Real +2 more
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Open sets of Axiom A flows with exponentially mixing attractors [PDF]
Proceedings of the American Mathematical Society, 2016 For any dimension d ≥ 3 d\geq 3 we construct C 1 \mathcal {C}^{1} -open subsets of the space of C 3 \mathcal {C}^{3} vector fields such that the flow associated to each vector ...
Paulo Varandas +3 more
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