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Enhancing Neuromorphic Robustness via Recurrence Resonance: The Role of Shared Weak Attractors in Quantum Logic Networks [PDF]
BiomimeticsRecurrence resonance, a phenomenon that enhances system computational capability by exploiting noise to amplify hidden attractors, holds significant potential for applications such as edge computing and neuromorphic computing.
Yu Huang, Yukio-Pegio Gunji
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Global attractors for Kirchhoff wave equation with nonlinear damping and memory
Boundary Value Problems, 2020 In this paper, we prove that the existence of global attractors for a Kirchhoff wave equation with nonlinear damping and memory.
Suli Zhang, Jianwen Zhang, Haiyan Wang
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An operator methodology for the global dynamic analysis of stochastic nonlinear systems
Theoretical and Applied Mechanics Letters, 2023 In a global dynamic analysis, the coexisting attractors and their basins are the main tools to understand the system behavior and safety. However, both basins and attractors can be drastically influenced by uncertainties.
Kaio C. B. Benedetti +3 more
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Average Process of Fractional Navier–Stokes Equations with Singularly Oscillating Force
Fractal and Fractional, 2022 The averaging process between two-dimensional fractional Navier–Stokes equations driven by a singularly oscillating external force and the averaged equations corresponding to the limiting case are investigated.
Chunjiao Han +3 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.
Barge, Marcy, Martin, Joe
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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 ...
Manoj Gopalkrishnan +2 more
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On the continuity of global attractors [PDF]
Proceedings of the American Mathematical Society, 2015 Let $Λ$ be a complete metric space, and let $\{S_λ(\cdot):\ λ\inΛ\}$ be a parametrised family of semigroups with global attractors ${\mathscr A}_λ$. We assume that there exists a fixed bounded set $D$ such that ${\mathscr A}_λ\subset D$ for every $λ\inΛ$.
Hoang, Luan T. +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 ...
Xingxing Wang, Hongyong Cui
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Trajectory attractors method for dissipative partial differential equations with small parameter [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаThe purpose of this work is to study the limit behaviour of trajectory attractors for some equations and systems from mathematical physics depending on a small parameter when this small parameter approaches zero.
Chepyzhov, Vladimir Викторович
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Global Attractors of Evolutionary Systems [PDF]
Journal of Dynamics and Differential Equations, 2009 An abstract framework for studying the asymptotic behavior of a dissipative evolutionary system $\mathcal{E}$ with respect to weak and strong topologies was introduced in [8] primarily to study the long-time behavior of the 3D Navier-Stokes equations (NSE) for which the existence of a semigroup of solution operators is not known.
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