Codimension-two bifurcation and multistability coexistence in an inertial two-neuron system with multiple delays

DOI10.1007/s11071-016-2816-zzbMath1349.34290OpenAlexW2356226573WikidataQ114954980 ScholiaQ114954980MaRDI QIDQ345599

Bin Zhen, Zigen Song, Cai-Hong Wang

Publication date: 2 December 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-016-2816-z

zbMATH Keywords

time delaysHopf-Hopf bifurcationinertial two-neuron systemmultistability coexistencepitchfork-Hopf bifurcation

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Bifurcations of singular points in dynamical systems (37G10) Bifurcation theory of functional-differential equations (34K18)

Related Items (10)

Exploring the dynamics of a tritrophic food chain model with multiple gestation periods ⋮ Rich dynamics of a Filippov plant disease model with time delay ⋮ Zero-Hopf bifurcation and multistability coexistence on a four-neuron network model with multiple delays ⋮ Effects of multiple delays on dynamics of a five-neuron network model ⋮ Multiple bifurcations and periodic coexistence in a delayed Hopfield two-neural system with a monotonic activation function ⋮ Hopf bifurcation analysis of reaction-diffusion neural oscillator system with excitatory-to-inhibitory connection and time delay ⋮ Complex dynamics induced by multiple gestation delays in a Leslie–Gower‐type system with competitive interference ⋮ Stability and bifurcation analysis in the coupled HR neurons with delayed synaptic connection ⋮ Optimal control of rumor spreading model with consideration of psychological factors and time delay ⋮ Two bifurcation routes to multiple chaotic coexistence in an inertial two-neural system with time delay

Cites Work

• Stability switches and multistability coexistence in a delay-coupled neural oscillators system
• The dependence of synchronization transition processes of coupled neurons with coexisting spiking and bursting on the control parameter, initial value, and attraction domain
• Codimension-two bursting analysis in the delayed neural system with external stimulations
• Spiral wave death, breakup induced by ion channel poisoning on regular Hodgkin-Huxley neuronal networks
• Control of multistability
• Bautin bifurcation analysis for synchronous solution of a coupled FHN neural system with delay
• Stability switches, oscillatory multistability, and spatio-temporal patterns of nonlinear oscillations in recurrently delay coupled neural networks
• Stability of bifurcating periodic solutions for a single delayed inertial neuron model under periodic excitation
• Stability and chaos in an inertial two-neuron system
• Excitable and oscillatory dynamics in an in-homogeneous chain of excitable systems with delayed coupling
• Delay-dependent multistability in recurrent neural networks
• Multiple pitchfork bifurcations and multiperiodicity coexistences in a delay-coupled neural oscillator system with inhibitory-to-inhibitory connection
• Dynamics of an inertial two-neuron system with time delay
• Dynamics of globally delay-coupled neurons displaying subthreshold oscillations
• Multistability and gluing bifurcation to butterflies in coupled networks with non-monotonic feedback
• BIFURCATION AND CHAOS ANALYSIS FOR A DELAYED TWO-NEURAL NETWORK WITH A VARIATION SLOPE RATIO IN THE ACTIVATION FUNCTION
• Multistability in Networks With Self-Excitation and High-Order Synaptic Connectivity
• Multiple Almost Periodic Solutions in Nonautonomous Delayed Neural Networks
• Multitype Activity Coexistence in an Inertial Two-Neuron System with Multiple Delays
• Elements of applied bifurcation theory

This page was built for publication: Codimension-two bifurcation and multistability coexistence in an inertial two-neuron system with multiple delays