Multistability of delayed fractional-order competitive neural networks

DOI10.1016/j.neunet.2021.03.036zbMath1526.93253OpenAlexW3153918930MaRDI QIDQ6078763

Fanghai Zhang, Tingwen Huang, Zhigang Zeng, Qiujie Wu

Publication date: 28 September 2023

Published in: Neural Networks (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.neunet.2021.03.036

zbMATH Keywords

delaysmultistabilityattraction basinsfractional-order competitive neural networks

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stability of control systems (93D99) Delay control/observation systems (93C43) Networked control (93B70)

Related Items (12)

Bifurcation dynamics in a fractional-order oregonator model including time delay ⋮ Finite-time synchronization of fractional-order complex-valued Cohen-Grossberg neural networks with mixed time delays and state-dependent switching ⋮ Multistability analysis of state-dependent switched Hopfield neural networks with the Gaussian-wavelet-type activation function ⋮ Multiple asymptotical \(\omega\)-periodicity of fractional-order delayed neural networks under state-dependent switching ⋮ Coexistence and local stability of multiple equilibrium points for fractional-order state-dependent switched competitive neural networks with time-varying delays ⋮ On controllability and observability of a class of fractional-order switched systems with impulse ⋮ Fixed-time synchronization of discontinuous competitive neural networks with time-varying delays ⋮ The multistability of delayed competitive neural networks with piecewise non‐monotonic activation functions ⋮ Exploration and Control of Bifurcation in a Fractional-Order Delayed Glycolytic Oscillator Model ⋮ Fin-TS and Fix-TS on fractional quaternion delayed neural networks with uncertainty via establishing a new Caputo derivative inequality approach ⋮ \( \mu \)-stability and instability of multiple equilibrium points in delayed neural networks with general discontinuous activation functions ⋮ Further results on bifurcation for a fractional-order predator-prey system concerning mixed time delays

Cites Work

• Unnamed Item
• A comment on ``\(\alpha\)-stability and \(\alpha\)-synchronization for fractional-order neural networks
• Stability and synchronization of delayed fractional-order projection neural network with piecewise constant argument of mixed type
• Approximation of solutions of fractional-order delayed cellular neural network on \([0,\infty)\)
• Uniform Euler approximation of solutions of fractional-order delayed cellular neural network on bounded intervals
• Multistability and convergence in delayed neural networks
• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Cluster synchronization of coupled delayed competitive neural networks with two time scales
• Global \(O(t^{-\alpha})\) stability and global asymptotical periodicity for a non-autonomous fractional-order neural networks with time-varying delays
• Stability and synchronization criteria for fractional order competitive neural networks with time delays: an asymptotic expansion of Mittag Leffler function
• \(\alpha\)-stability and \(\alpha\)-synchronization for fractional-order neural networks
• Multistability analysis of competitive neural networks with Gaussian-wavelet-type activation functions and unbounded time-varying delays
• Multistability and instability analysis of recurrent neural networks with time-varying delays
• \(O(t^{-\alpha})\)-synchronization and Mittag-Leffler synchronization for the fractional-order memristive neural networks with delays and discontinuous neuron activations
• Lagrange \(\alpha\)-exponential stability and \(\alpha\)-exponential convergence for fractional-order complex-valued neural networks
• Multiple Mittag-Leffler stability of fractional-order competitive neural networks with Gaussian activation functions
• Global Mittag-Leffler stability of complex valued fractional-order neural network with discrete and distributed delays
• Analysis of global \(O(t^{-\alpha})\) stability and global asymptotical periodicity for a class of fractional-order complex-valued neural networks with time varying delays
• Global exponential stability of fractional‐order impulsive neural network with time‐varying and distributed delay
• Absolute Stability of Analytic Neural Networks: An Approach Based on Finite Trajectory Length

This page was built for publication: Multistability of delayed fractional-order competitive neural networks