Ultimate boundedness and an attractor for stochastic Hopfield neural networks with time-varying delays

DOI10.1016/j.nonrwa.2011.09.001zbMath1238.34145OpenAlexW1996802985MaRDI QIDQ420132

Qinghua Zhou, Li Wan, Pei Wang, Ji-Zi Li

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.09.001

zbMATH Keywords

weak attractordelaysultimate boundednessHopfield neural networks

Mathematics Subject Classification ID

Stochastic functional-differential equations (34K50) Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Attractors of solutions to ordinary differential equations (34D45)

Related Items (13)

Exponential quasi-synchronization of conformable fractional-order complex dynamical networks ⋮ Global exponential convergence of generalized chaotic systems with multiple time-varying and finite distributed delays ⋮ Asymptotic behaviors of stochastic Cohen-Grossberg neural networks with mixed time-delays ⋮ Asymptotic behavior of switched stochastic delayed cellular neural networks via average Dwell time method ⋮ Dynamical behaviors of the stochastic Hopfield neural networks with mixed time delays ⋮ Dynamical behaviors of stochastic Hopfield neural networks with both time-varying and continuously distributed delays ⋮ Explicit ultimate bound sets of a new hyperchaotic system and its application in estimating the Hausdorff dimension ⋮ A graph-theoretic approach to boundedness of stochastic Cohen-Grossberg neural networks with Markovian switching ⋮ Global Lagrange stability for neutral-type Cohen-Grossberg BAM neural networks with mixed time-varying delays ⋮ Almost sure exponential stability of numerical solutions to stochastic delay Hopfield neural networks ⋮ The \(p\)th moment asymptotical ultimate boundedness of pantograph stochastic differential equations with time-varying coefficients ⋮ The \(p\)th moment boundedness of stochastic functional differential equations with Markovian switching ⋮ Dynamical behaviors of stochastic reaction-diffusion Cohen-Grossberg neural networks with delays

Uses Software

• LMI toolbox

Cites Work

• Unnamed Item
• Mean square exponential stability of uncertain stochastic delayed neural networks
• Almost sure exponential stability of stochastic fuzzy cellular neural networks with delays
• Exponential stability for stochastic jumping BAM neural networks with time-varying and distributed delays
• Attractor and ultimate boundedness for stochastic cellular neural networks with delays
• Global exponential stability of cellular neural networks with time-varying coefficients and delays
• Bounds of the hyper-chaotic Lorenz-Stenflo system
• Almost sure exponential stability of delayed Hopfield neural networks
• Dynamics of the interlocked positive feedback loops explaining the robust epigenetic switching in \textit{Candida albicans}
• \(p\)th moment exponential stability of stochastic recurrent neural networks with time-varying delays
• Global stability of stochastic high-order neural networks with discrete and distributed delays
• Global robust dissipativity for integro-differential systems modeling neural networks with delays
• Dynamic analysis of stochastic bidirectional associative memory neural networks with delays
• On the global dissipativity of dynamical neural networks with time delays
• Delay-dependent asymptotic stability for stochastic delayed recurrent neural networks with time varying delays
• Global dissipativity of neural networks with both variable and unbounded delays
• Mean square exponential stability of stochastic recurrent neural networks with time-varying delays
• ULTIMATE BOUND ESTIMATION OF A CLASS OF HIGH DIMENSIONAL QUADRATIC AUTONOMOUS DYNAMICAL SYSTEMS

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