Results 21 to 30 of about 6,906 (308)
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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Global Attractor for Partial Functional Differential Equations with State-Dependent Delay
Abstract and Applied Analysis, 2013 This work aims to investigate the existence of global attractors for a class of partial functional differential equations with state-dependent delay. Using the classic theory about global attractors in infinite dimensional dynamical systems, we obtain ...
Zhimin He, Bo Du
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Time-Dependent Global Attractor for a Class of Nonclassical Parabolic Equations
Journal of Applied Mathematics, 2014 Based on the recent theory of time-dependent global attractors in the works of Conti et al. (2013) and di Plinio et al. (2011), we prove the existence of time-dependent global attractors as well as the regularity of the time-dependent global attractor ...
Fang-hong Zhang
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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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Attractors of multivalued semiflows generated by differential inclusions and their approximations
Abstract and Applied Analysis, 2000 We prove the existence of global compact attractors for differential inclusions and obtain some results concerning the continuity and upper semicontinuity of the attractors for approximating and perturbed inclusions.
Alexei V. Kapustian, José Valero
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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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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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Structure and bifurcation of pullback attractors in a non-autonomous Chafee-Infante equation [PDF]
, 2011 The Chafee-Infante equation is one of the canonical infinite-dimensional dynamical systems for which a complete description of the global attractor is available.
Carvalho, A. N. +8 more
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Pointed shape and global attractors for metrizable spaces
, 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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