Results 101 to 110 of about 754,834 (272)
Pullback and uniform exponential attractors for non-autonomous Oregonator systems
Open MathematicsWe consider the long-time global dynamics of non-autonomous Oregonator systems. This system is a coupled system of three reaction-diffusion equations, that arises from the Belousov-Zhabotinskii reaction.
Liu Na, Yu Yang-Yang
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Structure of the pullback attractor for a non-autonomous scalar differential inclusion
, 2016 The structure of attractors for differential equations is one of the main topics in the qualitative theory of dynamical systems. However, the theory is still in its infancy in the case of multivalued dynamical systems. In this paper we study in detail
T. Caraballo, J. Langa, J. Valero
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Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract Using iterated uniform local completion, we introduce a notion of continuous CR$CR$ functions on locally closed subsets of reduced complex spaces, generalising both holomorphic functions and CR$CR$ functions on CR$CR$ submanifolds. Under additional assumptions of set‐theoretical weak pseudo‐concavity, we prove optimal maximum modulus ...
Mauro Nacinovich, Egmont Porten
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Pullback exponential attractors for differential equations with variable delays
Discrete & Continuous Dynamical Systems - B, 2020 We show how recent existence results for pullback exponential attractors can be applied to non-autonomous delay differential equations with time-varying delays. Moreover, we derive explicit estimates for the fractal dimension of the attractors. As a special case, autonomous delay differential equations are also discussed, where our results improve ...
Hammami, M.A. +3 more
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Advances in Difference Equations, 2020 This paper is concerned with the asymptotic behavior of solutions to a non-autonomous stochastic wave equation with additive white noise, for which the nonlinear damping has a critical cubic growth rate.
Huazhen Yao, Jianwen Zhang
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Orbifold Kodaira–Spencer maps and closed‐string mirror symmetry for punctured Riemann surfaces
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract When a Weinstein manifold admits an action of a finite abelian group, we propose its mirror construction following the equivariant 2D TQFT‐type construction, and obtain as a mirror the orbifolding of the mirror of the quotient with respect to the induced dual group action. As an application, we construct an orbifold Landau–Ginzburg mirror of a
Hansol Hong, Hyeongjun Jin, Sangwook Lee
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Pullback attractors for a class of nonlinear lattices with delays
Discrete and Continuous Dynamical Systems - Series B, 2015 We consider a class of nonlinear delay lattices $$ \ddot{u}_i(t)+(-1)^p\triangle^pu_i(t)+\lambda u_i(t)+\dot{u}_i(t)=h_i(u_i(t-\rho(t)))+f_i(t),~~~i \in \mathbb{Z}, $$ where $\lambda$ is a real positive constant, $p$ is any positive integer and $\triangle$ is the discrete one-dimensional Laplace operator.
Yejuan Wang, Kuang Bai
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Serial Change and Clinical Impact of Irregular Protrusion in Lesions With Chronic Coronary Syndrome
Catheterization and Cardiovascular Interventions, Volume 105, Issue 5, Page 1149-1160, April 1, 2025.ABSTRACT Background The changes over time and effects on long‐term clinical outcomes beyond 1 year of irregular protrusion (IP) in chronic coronary syndrome (CCS) remains unclear. Aims This study aimed to assess the time‐dependent change and long‐term clinical impact of IP in CCS lesions.
Naotaka Okamoto +13 more
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Convergences of asymptotically autonomous pullback attractors towards semigroup attractors
Discrete & Continuous Dynamical Systems - B, 2019 For pullback attractors of asymptotically autonomous dynamical systems we study the convergences of their components towards the global attractors of the limiting semigroups. We use some conditions of uniform boundedness of pullback attractors, instead of uniform compactness conditions used in the literature.
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Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains
Abstract and Applied Analysis, 2014 We prove the existence of a pullback attractor in L2(ℝn) for the stochastic Ginzburg-Landau equation with additive noise on the entire n-dimensional space ℝn.
Qiuying Lu, Guifeng Deng, Weipeng Zhang
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