Multistability and Multiperiodicity for a General Class of Delayed Cohen-Grossberg Neural Networks with Discontinuous Activation Functions [PDF]
Discrete Dynamics in Nature and Society, 2013 A general class of Cohen-Grossberg neural networks with time-varying delays, distributed delays, and discontinuous activation functions is investigated.
Yanke Du, Yanlu Li, Rui Xu
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Global Convergence for Cohen-Grossberg Neural Networks with Discontinuous Activation Functions
Abstract and Applied Analysis, 2012 Cohen-Grossberg neural networks with discontinuous activation functions is considered. Using the property of M-matrix and a generalized Lyapunov-like approach, the uniqueness is proved for state solutions and corresponding output solutions, and ...
Yanyan Wang, Jianping Zhou
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A continuous/discontinuous Galerkin formulation for a strain gradient-dependent damage model: 2D results [PDF]
, 2011 The numerical solution of strain gradient-dependent continuum problems has been hindered by continuity demands on the basis functions. The presence of terms in constitutive models which involve gradients of the strain eld means that the $C^0$ continuity
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Finite Element Quadrature of Regularized Discontinuous and Singular Level Set Functions in 3D Problems [PDF]
, 2012 Regularized Heaviside and Dirac delta function are used in several fields of computational physics and mechanics. Hence the issue of the quadrature of integrals of discontinuous and singular functions arises.
PONARA, Nicola +9 more
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Interpolative contractions and discontinuity at fixed point
Applied General Topology, 2023 In this paper, we investigate new solutions to the Rhoades' discontinuity problem on the existence of a self-mapping which has a fixed point but is not continuous at the fixed point on metric spaces. To do this, we use the number defined as n(x,y)=[d(x,y)
Nihal Taş
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, 2022 This paper presents the theoretical results on the multistability of state-dependent switching neural networks with discontinuous nonmonotonic piecewise linear activation functions.
Lu, N, Wen, S, Zhu, S, Zhang, J
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Adaptive synchronization for fractional stochastic neural network with delay
Advances in Difference Equations, 2021 Under the Brownian motion environment, adaptive synchronization is mainly studied in this paper for fractional-order stochastic neural networks (FSNNs) with time delays and discontinuous activation functions. Firstly, an existence theorem of solutions is
Lu Junxiang, Hong Xue
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A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations [PDF]
, 2007 In this paper we consider the numerical solution of first-order Hamilton-Jacobi equations using the combination of a discontinuous Galerkin finite element method and an adaptive $r$-refinement (mesh movement) strategy.
MacKenzie, John, Nicola, Aurelian
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Forward and inverse modeling of water flow in unsaturated soils with discontinuous hydraulic conductivities using physics-informed neural networks with domain decomposition [PDF]
Hydrology and Earth System Sciences, 2022 Modeling water flow in unsaturated soils is vital for describing various hydrological and ecological phenomena. Soil water dynamics is described by well-established physical laws (Richardson–Richards equation – RRE).
T. Bandai, T. A. Ghezzehei
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Synchronization of Discontinuous Neural Networks with Delays via Adaptive Control
Discrete Dynamics in Nature and Society, 2013 The drive-response synchronization of delayed neural networks with discontinuous activation functions is investigated via adaptive control. The synchronization of this paper means that the synchronization error approaches to zero for almost all time as ...
Xinsong Yang, Jinde Cao
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