Results 11 to 20 of about 43,348 (288)
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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A non-autonomous scalar one-dimensional dissipative parabolic problem: The description of the dynamics [PDF]
, 2018 The purpose of this paper is to give a characterization of the structure of non-autonomous attractors of the problem $u_t= u_{xx} + \lambda u - \beta(t)u^3$ when the parameter $\lambda > 0$ varies.
Broche, Rita de Cássia D. S. +2 more
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Global phase synchronization in an array of time-delay systems [PDF]
, 2010 We report the identification of global phase synchronization (GPS) in a linear array of unidirectionally coupled Mackey-Glass time-delay systems exhibiting highly non-phase-coherent chaotic attractors with complex topological structure. In particular, we
A. S. Pikovsky +5 more
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Global Attractor for Impulsive Reaction-Diffusion Equation [PDF]
Nonlinear Oscillations, 2005 In this paper, we consider a reaction-diffusion equation with nonsmooth nonlinearity whose solutions have impulse effects at fixed moments of time. We show how this object generates a nonautonomous multivalued dynamical system and prove the existence of a compact semiinvariant global attractor in the phase space.
IOVANE, Gerardo, O. KAPUSTYAN
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Trajectory and global attractors for generalized processes [PDF]
, 2019 In this work the theory of generalized processes is used to describe the dynamics of a nonautonomous multivalued problem and, through this approach, some conditions for the existence of trajectory attractors are proved.
Caraballo Garrido, Tomás +3 more
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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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Embedding of global attractors and their dynamics [PDF]
, 2010 Using shape theory and the concept of cellularity, we show that if $A$ is the global attractor associated with a dissipative partial differential equation in a real Hilbert space $H$ and the set $A-A$ has finite Assouad dimension $d$, then there is an ...
de Moura, Eleonora Pinto +2 more
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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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