Delay-induced mixed-mode oscillations in a 2D Hindmarsh-Rose-type model

DOI10.3934/dcdsb.2016.21.37zbMath1331.34157OpenAlexW2413432615MaRDI QIDQ894974

Shyan-Shiou Chen, Chang-Yuan Cheng

Publication date: 25 November 2015

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

Full work available at URL: https://doi.org/10.3934/dcdsb.2016.21.37

zbMATH Keywords

Hopf bifurcationmixed-mode oscillationsHindmarsh-Rose modelcentre manifold reductiondifferential-difference equationrecurrent feedback

Mathematics Subject Classification ID

Neural biology (92C20) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Singular perturbations of functional-differential equations (34K26) Invariant manifolds of functional-differential equations (34K19)

Related Items (3)

Traveling wave solutions of diffusive Hindmarsh-Rose-type equations with recurrent neural feedback ⋮ Delay-induced spiking dynamics in integrate-and-fire neurons ⋮ Stability and Hopf Bifurcation Analysis in Hindmarsh–Rose Neuron Model with Multiple Time Delays

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