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Global attractors for a tropical climate model
Applications of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han, Pigong +3 more
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Zeitschrift für Angewandte Mathematik und Physik, 2016
The objective of this paper is to study the existence of a global attractor in $$(H^2(\Omega ))^3\cap V$$(H2(Ω))3∩V for the three-dimensional autonomous primitive equations of large-scale ocean and atmosphere dynamics. According to the regularity results
Bo You, Fang Li
semanticscholar +1 more source
The objective of this paper is to study the existence of a global attractor in $$(H^2(\Omega ))^3\cap V$$(H2(Ω))3∩V for the three-dimensional autonomous primitive equations of large-scale ocean and atmosphere dynamics. According to the regularity results
Bo You, Fang Li
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Global attractors in electrohydrodynamics
International Journal of Engineering Science, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Global Attractors for a Nonclassical Diffusion Equation
Acta Mathematica Sinica, English Series, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, Chun You +2 more
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Synchronization, attractor fission, and attractor fusion in a globally coupled laser system
Physical Review A, 1992A globally coupled class-B laser array with incoherent feedback is proposed for exploring the complex dynamics of dynamical systems with the highest connectivity. This feedback shows a fundamental characteristic, information lag, and results in the general features of synchronization, attractor fission, and attractor fusion processes.
, Otsuka, , Chern
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Global Attractors and Robustness of the Boissonade System
Journal of Dynamics and Differential Equations, 2014In this paper, the author proves the existence of a global attractor for the weak semiflow of a Boissonade system with quadratic and cubic parameters. Also, the upper semicontinuity in the \(H^1\) product space is proved, using uniform estimates with respect to the parameter.
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Nontrivial Global Attractors in 2-D Multistable Attractor Neural Networks
IEEE Transactions on Neural Networks, 2009Attractor dynamics is a crucial problem for attractor neural networks, as it is the underling computational mechanism for memory storage and retrieval in neural systems. This brief studies a class of attractor network consisting of linearized threshold neurons, and analyzes global attractors based on a parameterized 2-D model.
Lan, Zou +3 more
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On the Theory of Global Attractors and Lyapunov Functionals
Set-Valued and Variational Analysis, 2012This work is devoted to the study of the existence of global attractors for multivalued and single-valued semigroups, more specifically, under which conditions a multivalued (or single-valued) semigroup \(\{S(t): t\geqslant 0\}\) possesses a global attractor \(\mathcal{A}\).
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, 2014
We prove that the critical surface quasi-geostrophic equation driven by a force f possesses a compact global attractor in $$L^2(\mathbb T^2)$$L2(T2) provided $$f\in L^p(\mathbb T^2)$$f∈Lp(T2) for some $$p>2$$p>2.
A. Cheskidov, Mimi Dai
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We prove that the critical surface quasi-geostrophic equation driven by a force f possesses a compact global attractor in $$L^2(\mathbb T^2)$$L2(T2) provided $$f\in L^p(\mathbb T^2)$$f∈Lp(T2) for some $$p>2$$p>2.
A. Cheskidov, Mimi Dai
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Global attractors and bifurcations
1996We present some recent developments in the study of attractors of smooth dynamical systems, specially attractors whose basin has a global character. A key point in our approach is to explore the relations between this study and that of main bifurcation mechanisms.
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