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Adaptive exponential synchronization of delayed neural networks with reaction-diffusion terms
Chaos, Solitons & Fractals, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sheng, Li, Yang, Huizhong, Lou, Xuyang
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Synchronization of stochastic Markovian jump neural networks with reaction-diffusion terms
Neurocomputing, 2012In this paper, we address the synchronization problem of a class of stochastic Markovian jump reaction-diffusion neural networks with Dirichlet boundary conditions. By using the Lyapunov-Krasovskii functional method, feedback control approach, and stochastic analysis technique, the sufficient synchronization conditions including the information of ...
Guodong Shi, Qian Ma
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Complicated dynamics of scalar reaction diffusion equations with a nonlocal term
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1990SynopsisWe consider the dynamics of scalar equations ut, = uxx + f(x, u) + c(x)α(u), 0 < x < l, where α denotes some weighted spatial average and Dinchlet boundary conditions are assumed. Prescribing f, c, α appropriately, it is shown that complicated dynamics can occur.
Fiedler, Bernold, Poláčik, Peter
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Feedback Stabilization for a Reaction-Diffusion System with Nonlocal Reaction Term
Numerical Functional Analysis and Optimization, 2011We consider a two-component reaction-diffusion system with a nonlocal reaction term. A necessary condition and a sufficient condition for the internal stabilizability to zero of one of the two components of the solution while preserving the nonnegativity of both components have been established in [6]. In case of stabilizability, a feedback stabilizing
Sebastian Aniţa +2 more
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The Case of the Reaction-Diffusion Term Satisfying Newton’s Law
2010We discuss both the approximate and exact null-controllability of the diffusion-reaction equation governed via a coefficient in the reaction term, modeled according to Newton’s Law. Both linear and semilinear versions of this term are considered.
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