Results 11 to 20 of about 8,017 (310)
On global weak attractors in dynamical systems
Journal of Mathematical Analysis and Applications, 1966 N. P. Bhatia +2 more
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Simplicial Models for the Global Dynamics of Attractors
Journal of Differential Equations, 2000 AbstractGiven an unknown attractor A in a continuous dynamical system, how we can discover the topology and dynamics of A? As a practical matter, how can we do so from only a finite amount of information? One way of doing so is to produce a semi-conjugacy from A onto a model system M whose topology and dynamics are known.
Christopher McCord
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Global attractors of pinched skew products [PDF]
Dynamical Systems, 2002 A class of skew products over irrational rotations of the circle is defined which contains some systems which have strange nonchaotic attractors. The global attractor of these systems is characterized: it lies between an upper semi-continuous curve and a lower semi-continuous curve.
Paul Glendinning
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Global attractors for multivalued random dynamical systems [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2002 We introduce the concept of multivalued random dynamical system (MRDS) as a measurable multivalued flow satisfying the cocycle property. We show how this is a suitable framework for the study of the asymptotic behaviour of some multivalued stochastic parabolic equations by generalizing the concept of global random attractor to the case of a MRDS.
Tomás Caraballo +2 more
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The Construction of Global Attractors [PDF]
Proceedings of the American Mathematical Society, 1990 The purpose of this note is to show that every inverse limit space of an interval mapping can be realized as a global attractor for a homeomorphism of the plane.
Marcy Barge, Joe Martin
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On the continuity of global attractors [PDF]
Proceedings of the American Mathematical Society, 2015 Let $ $ be a complete metric space, and let $\{S_ (\cdot):\ \in \}$ be a parametrised family of semigroups with global attractors ${\mathscr A}_ $. We assume that there exists a fixed bounded set $D$ such that ${\mathscr A}_ \subset D$ for every $ \in $.
Eric Olson +2 more
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On the Residual Continuity of Global Attractors
Mathematics, 2022 In this brief paper, we studied the residual continuity of global attractors Aλ in varying parameters λ∈Λ with Λ a bounded Borel set in Rd. We first reviewed the well-known residual continuity result of global attractors and then showed that this residual continuity is equivalent to the dense continuity. Then, we proved an analogue continuity result in
Xingxing Wang, Hongyong Cui
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Embedding of global attractors and their dynamics [PDF]
Proceedings of the American Mathematical Society, 2011 Using shape theory and the concept of cellularity, we show that if $A$ is the global attractor associated with a dissipative partial differential equation in a real Hilbert space $H$ and the set $A-A$ has finite Assouad dimension $d$, then there is an ordinary differential equation in ${\mathbb R}^{m+1}$, with $m >d$, that has unique solutions and ...
Eleonora Pinto de Moura +2 more
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A Geometric Approach to the Global Attractor Conjecture [PDF]
SIAM Journal on Applied Dynamical Systems, 2014 v2: 49 pages, 8 figures, minor changes; v1: 48 pages, 8 ...
Ezra Miller +2 more
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On the regularity of global attractors
Discrete & Continuous Dynamical Systems - A, 2009 This note is focused on a novel technique in order to establish the boundedness in more regular spaces for global attractors of dissipative dynamical systems, without appealing to uniform-in-time estimates. As an application of the abstract result, the semigroup generated by the strongly damped wave equation $$u_{tt}- u_t- u+ (u)=f$$ with critical ...
CONTI, MONICA, PATA, VITTORINO
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