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Cycles and Global Attractors of Reaction Systems
Reaction systems are a recent formal model inspired by the chemical reactions that happen inside cells and possess many different dynamical behaviours. In this work we continue a recent investigation of the complexity of detecting some interesting dynamical behaviours in reaction system. We prove that detecting global behaviours such as the presence of
Enrico Formenti +2 more
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Global Attractors of Nonautonomous Difference Equations
The article is devoted to the study of global attractors of quasi-linear non-autonomous difference equations, in particular we give the conditions for the existence of a compact global attractor. The obtained results are applied to the study of a triangular economic growth model recently developed by Brianzoni S., Mammana C. and Michetti E.
D. CHEBAN +2 more
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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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Nonstandard analysis of global attractors
Mathematical Logic Quarterly, 2015Key concepts of the theory of abstract dynamical systems are formulated in the language of nonstandard analysis (NSA). We are then able to provide simple and intuitive proofs of the basic facts. In particular, we use the NSA to give an alternative proof of the characterization of global attractors due to Ball. We also address the issue of connectedness.
Dalibor Prazák, Jakub Slavík
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Global attractors for wave equations with nonlinear interior damping and critical exponents
In this paper we study the global attractors for wave equations with nonlinear interior damping. We prove the existence, regularity and finite dimensionality of the global attractors without assuming a large value for the damping parameter, when the ...
Azer Khanmamedov
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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 vegetation model
Asymptotic Analysis, 2011In this article, a rigorous mathematical treatment of the dryland vegetation model introduced by Gilad et al. [Phys. Rev. Lett. 98(9) (2004), 098105-1–098105-4, J. Theoret. Biol. 244 (2007), 680–691] is presented. We prove the existence and uniqueness of solutions in (L 1 (Ω))
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Global attractor for the regularized Bénard problem
Applicable Analysis, 2014In this paper, we study the asymptotic behaviour of weak solutions for the regularized Benard problem. We establish the global existence and uniqueness of weak solutions of this problem and give a proof for the existence of global attractor in the three-dimensional case for this system.
ÇELEBİ, AHMET OKAY, KAYA, MERYEM
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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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Global attractor of atmospheric equations
Asymptotic Analysis, 2016We consider the three-dimensional primitive equations of the atmosphere with humidity and saturation associated with suitable boundary conditions. These equations have been shown to lead to well-posed problem producing a continuous semigroup despite the discontinuities due to the change of phase between vapor water and liquid water. In this article, we
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