Multistability and multiperiodicity for a general class of delayed Cohen-Grossberg neural networks with discontinuous activation functions

DOI10.1155/2013/917835zbMath1417.34172OpenAlexW1982630883WikidataQ58921926 ScholiaQ58921926MaRDI QIDQ2312308

Yanke Du, Yanlu Li, Rui Xu

Publication date: 5 July 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/917835

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Multifrequency systems of ordinary differential equations (34C46)

Related Items (4)

Global exponential periodicity and stability of discrete-time complex-valued recurrent neural networks with time-delays ⋮ Discontinuous convex contractions and their applications in neural networks ⋮ Multiple stability and instability of Cohen-Grossberg neural network with unbounded time-varying delays ⋮ Impulsive control of a class of multiple unstable neural networks

Cites Work

• Unnamed Item
• Unnamed Item
• Associative memories based on continuous-time cellular neural networks designed using space-invariant cloning templates
• Multistability analysis for a general class of delayed Cohen-Grossberg neural networks
• Multistability in impulsive hybrid Hopfield neural networks with distributed delays
• A fractional order statistic towards defining a smooth quantile function for discrete data
• Impulsive hybrid discrete-time Hopfield neural networks with delays and multistability analysis
• Improved delay-dependent stability criterion for neural networks with time-varying delay
• LMI criteria on exponential stability of BAM neural networks with both time-varying delays and general activation functions
• Multiple periodic solutions in impulsive hybrid neural networks with delays
• Multistability in bidirectional associative memory neural networks
• \(2^N\) almost periodic attractors for Cohen-Grossberg-type BAM neural networks with variable coefficients and distributed delays
• Multiperiodicity analysis and numerical simulation of discrete-time transiently chaotic non-autonomous neural networks with time-varying delays
• On periodic solutions to a class of non-autonomously delayed reaction-diffusion neural networks
• LMI conditions for stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays
• Delay-dependent exponential stability for impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms
• Multistability of neural networks with discontinuous activation function
• Multistability and convergence in delayed neural networks
• Multistability and multiperiodicity of delayed Cohen-Grossberg neural networks with a general class of activation functions
• Coexistence and local stability of multiple equilibria in neural networks with piecewise linear nondecreasing activation functions
• Delay-dependent multistability in recurrent neural networks
• Multistability and multiperiodicity of delayed bidirectional associative memory neural networks with discontinuous activation functions
• Global convergence of neural networks with discontinuous neuron activations
• Analysis and Design of Associative Memories Based on Recurrent Neural Networks with Linear Saturation Activation Functions and Time-Varying Delays

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