Results 1 to 10 of about 4,947,310 (278)
A Geometric Approach to the Global Attractor Conjecture [PDF]
SIAM Journal on Applied Dynamical Systems, 2013 This paper introduces the class of "strongly endotactic networks", a subclass of the endotactic networks introduced by G. Craciun, F. Nazarov, and C. Pantea.
Manoj Gopalkrishnan +2 more
semanticscholar +5 more sources
Global Attractor of Atmospheric Circulation Equations with Humidity Effect [PDF]
Abstract and Applied Analysis, 2012 Global attractor of atmospheric circulation equations is considered in this paper. Firstly, it is proved that this system possesses a unique global weak solution in L2(Ω,R4).
Hong Luo
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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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Dissipative flows, global attractors and shape theory [PDF]
Topology Appl. 258 (2019), 392-401, 2018 In this paper we study continuous parametrized families of dissipative flows, which are those flows having a global attractor. The main motivation for this study comes from the observation that, in general, global attractors are not robust, in the sense that small perturbations of the flow can destroy their globality. We give a necessary and sufficient
Barge Yáñez, Héctor +1 more
arxiv +6 more sources
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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On global attractors of the 3D Navier-Stokes equations
Journal of Differential Equations, 2006 In view of the possibility that the 3D Navier-Stokes equations (NSE) might not always have regular solutions, we introduce an abstract framework for studying the asymptotic behavior of multi-valued dissipative evolutionary systems with respect to two topologies--weak and strong.
Alexey Cheskidov, Ciprian Foiaş
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On global weak attractors in dynamical systems
Journal of Mathematical Analysis and Applications, 1966 N. P. Bhatia +2 more
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Global attractors for gradient flows in metric spaces
Journal de Mathématiques Pures et Appliquées, 2010 We develop the long-time analysis for gradient flow equations in metric spaces. In particular, we consider two notions of solutions for metric gradient flows, namely energy and generalized solutions. While the former concept coincides with the notion of curves of maximal slope, we introduce the latter to include limits of time-incremental ...
Riccarda Rossi +2 more
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The existence of a compact global attractor for a class of competition model
AIMS Mathematics, 2021 This paper is concerned with the existence of a compact global attractor for a class of competition model in n−dimensional (n ≥ 1) domains. Using mathematical induction and more detailed interpolation estimates, especially Gagliardo-Nirenberg inequality,
Yanxia Wu
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