Quasi-stability of coexisting attractors of a neurodynamic model with delay

DOI10.1007/s10958-022-06177-0OpenAlexW4309581395MaRDI QIDQ2683626

M. M. Preobrazhenskaya, V. E. Goryunov

Publication date: 14 February 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-06177-0

zbMATH Keywords

bufferingLyapunov exponentquasi-stabilitydifferential-difference equationrelaxation cycle

Mathematics Subject Classification ID

Neural biology (92C20) Asymptotic theory of functional-differential equations (34K25) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Singular perturbations of functional-differential equations (34K26)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modeling the bursting effect in neuron systems
• Determining Lyapunov exponents from a time series
• Anti-phase solutions in relaxation oscillators coupled through excitatory interactions
• Quasi-stable structures in circular gene networks
• On a method for mathematical modeling of chemical synapses
• Discrete autowaves in neural systems
• A modification of Hutchinson’s equation
• Self-excited relaxation oscillations in networks of impulse neurons
• Relaxation self-oscillations in Hopfield networks with delay

This page was built for publication: Quasi-stability of coexisting attractors of a neurodynamic model with delay