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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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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Quasi-stability and continuity of attractors for nonlinear system of wave equations
Nonautonomous Dynamical Systems, 2021 In this paper, we study the long-time behavior of a nonlinear coupled system of wave equations with damping terms and subjected to small perturbations of autonomous external forces.
Freitas M. M. +4 more
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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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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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Structure of the Global Attractors in a Model for Ectoparasite Borne Diseases
Biomath, 2012 We delineate a mathematical model for the dynamics of the spread of ectoparasites and the diseases transmitted by them. We present how the dynamics of the system depends on the three reproduction numbers belonging to three of the four possible equilibria
Attila Dénes, Gergely Röst
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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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Demonstratio Mathematica, 2023 The Kirchhoff model is derived from the vibration problem of stretchable strings. This article focuses on the long-time dynamics of a class of higher-order coupled Kirchhoff systems with nonlinear strong damping.
Lv Penghui, Lin Guoguang, Lv Xiaojun
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Global Attractor for Partial Functional Differential Equations with State-Dependent Delay
Abstract and Applied Analysis, 2013 This work aims to investigate the existence of global attractors for a class of partial functional differential equations with state-dependent delay. Using the classic theory about global attractors in infinite dimensional dynamical systems, we obtain ...
Zhimin He, Bo Du
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