Results 21 to 30 of about 4,951,195 (308)
Global Attractors of Evolutionary Systems [PDF]
Journal of Dynamics and Differential Equations, 2009 An abstract framework for studying the asymptotic behavior of a dissipative evolutionary system $\mathcal{E}$ with respect to weak and strong topologies was introduced in [8] primarily to study the long-time behavior of the 3D Navier-Stokes equations (NSE) for which the existence of a semigroup of solution operators is not known.
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Pointed shape and global attractors for metrizable spaces [PDF]
, 2011 In this paper we consider two notions of attractors for semidynamical systems defined in metric spaces. We show that Borsuk's weak and strong shape theories are a convenient framework to study the global properties which the attractor inherits from the ...
A. Giraldo +12 more
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Global attractors for a tropical climate model
, 2023 summary:This paper is devoted to the global attractors of the tropical climate model. We first establish the global well-posedness of the system. Then by studying the existence of bounded absorbing sets, the global attractor is constructed. The estimates
Han, Pigong +3 more
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Global attractor for the Cahn-Hilliard system [PDF]
Bulletin of the Australian Mathematical Society, 1994 The Cahn-Hilliard system, a natural extension of the single Cahn-Hilliard equation in the case of multicomponent alloys, will be shown to generate a dissipative semigroup on the phase space ℋ = [H2(Ω)]m. Following Hale's ideas and based on the existence and form of the Lyapunov functional, our main result will be the existence of a global attractor on ...
Cholewa, Jan W., Dlotko, Tomasz
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Towards global models near homoclinic tangencies of dissipative diffeomorphisms [PDF]
, 1998 A representative model of a return map near homoclinic bifurcation is studied. This model is the so-called fattened Arnold map, a diffeomorphism of the annulus. The dynamics is extremely rich, involving periodicity, quasiperiodicity and chaos. The method
Broer, H; id_orcid +6 more
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A permutation characterization of Sturm global attractors of Hamiltonian type [PDF]
, 2012 We consider Neumann boundary value problems of the form ut=uxx+f on the interval 0⩽x⩽π for dissipative nonlinearities f=f(u). A permutation characterization for the global attractors of the semiflows generated by these equations is well known, even in ...
Carlos Rocha +5 more
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Қарағанды университетінің хабаршысы. Математика сериясыWe consider the reaction–diffusion system of equations with rapidly oscillating terms in the equation and in boundary conditions in a domain with locally periodic oscillating boundary.
G.F. Azhmoldaev +3 more
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Mathematics, 2021 A problem of the noise-induced generation and shifts of phantom attractors in nonlinear dynamical systems is considered. On the basis of the model describing interaction of the climate and vegetation we study the probabilistic mechanisms of noise-induced
Lev Ryashko +2 more
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Entropy increase in switching systems [PDF]
, 2013 The relation between the complexity of a time-switched dynamics and the complexity of its control sequence depends critically on the concept of a non-autonomous pullback attractor.
Giménez, Ángel +7 more
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Qualitative Study of a 4D Chaos Financial System
Complexity, 2018 Some dynamics of a new 4D chaotic system describing the dynamical behavior of the finance are considered. Ultimate boundedness and global attraction domain are obtained according to Lyapunov stability theory.
Fuchen Zhang +4 more
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