Hopf bifurcation of a fractional-order octonion-valued neural networks with time delays

DOI10.3934/dcdss.2020137zbMath1455.34079OpenAlexW2991254097WikidataQ126641099 ScholiaQ126641099MaRDI QIDQ2206335

Rakkiyappan Rajan, Udhayakumar Kandasamy

Publication date: 22 October 2020

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020137

zbMATH Keywords

time delayHopf bifurcationoctonionsfractional-order

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18) Functional-differential equations with fractional derivatives (34K37)

Related Items (6)

Robust stability analysis of impulsive quaternion-valued neural networks with distributed delays and parameter uncertainties ⋮ Weyl almost periodic solutions of octonion-valued high-order fuzzy neural networks with delays ⋮ Pseudo almost periodic synchronization of OVCNNs with time-varying delays and distributed delays on time scales ⋮ Almost periodic oscillation of octonion-valued neural networks with delays on time scales ⋮ Almost automorphic solutions in distribution for octonion-valued stochastic recurrent neural networks with time-varying delays ⋮ Further investigation on bifurcation and their control of fractional‐order bidirectional associative memory neural networks involving four neurons and multiple delays

Cites Work

• Unnamed Item
• Stability analysis of fractional-order complex-valued neural networks with time delays
• Fractional-order delayed predator-prey systems with Holling type-II functional response
• Stability of nonlinear differential systems with state-dependent delayed impulses
• Stability and Hopf bifurcation analysis on a ring of four neurons with delays
• Finite-time stability and settling-time estimation of nonlinear impulsive systems
• Bifurcations in a delayed fractional complex-valued neural network
• Impact of leakage delay on bifurcation in high-order fractional BAM neural networks
• Dynamics of complex-valued fractional-order neural networks
• Global exponential stability of octonion-valued neural networks with leakage delay and mixed delays
• Effects of time delays on stability and Hopf bifurcation in a fractional ring-structured network with arbitrary neurons
• New exact solutions for some fractional order differential equations via improved sub-equation method
• Numerical analysis of coupled fractional differential equations with Atangana-Baleanu fractional derivative
• Hopf bifurcation analysis of a complex-valued neural network model with discrete and distributed delays
• Delay-induced bifurcation in a tri-neuron fractional neural network
• μ-stability of impulsive differential systems with unbounded time-varying delays and nonlinear perturbations
• Stabilization of Delay Systems: Delay-Dependent Impulsive Control
• The Geometry of the Octonions
• Bifurcation and Chaos in Noninteger Order Cellular Neural Networks
• Stability and Bifurcation of Ring-Structured Genetic Regulatory Networks With Time Delays
• An Impulsive Delay Inequality Involving Unbounded Time-Varying Delay and Applications

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