Higher-codimension bifurcations in a discrete unidirectional neural network model with delayed feedback

DOI10.1063/1.2903756zbMath1307.92032OpenAlexW1983166627WikidataQ51873672 ScholiaQ51873672MaRDI QIDQ5179176

Guang-Hui Wang, Li-Hong Huang, Ming-Shu Peng

Publication date: 19 March 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2903756

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Discrete-time control/observation systems (93C55) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Attractors of solutions to ordinary differential equations (34D45)

Related Items (5)

The codimension-two bifurcation for the recent proposed SD oscillator ⋮ Higher-codimension bifurcations caused by delay ⋮ Complex dynamics in simple delayed two-parameterized models ⋮ New stability criteria and bifurcation analysis for nonlinear discrete-time coupled loops with multiple delays ⋮ Detection of high codimensional bifurcations in variational PDEs

Cites Work

• Bifurcation and stability analysis of nonlinear waves in \(\mathbb {D}_n\) symmetric delay differential systems
• Effective computation of periodic orbits and bifurcation diagrams in delay equations
• The asymptotic stability of \(x_{n+1}-ax_ n+bx_{n-k}=0\)
• Bifurcation and chaotic behavior in the Euler method for a Kaplan-Yorke prototype delay model
• SYNCHRONIZATION AND DESYNCHRONIZATION IN A DELAYED DISCRETE NEURAL NETWORK
• Spatio-temporal patterns of nonlinear oscillations in an excitatory ring network with delay

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