Threshold, excitability and isochrones in the Bonhoeffer–van der Pol system

DOI10.1063/1.166460zbMath1070.92503OpenAlexW2058891875WikidataQ73464056 ScholiaQ73464056MaRDI QIDQ4515118

No author found.

Publication date: 12 November 2000

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

Full work available at URL: https://doi.org/10.1063/1.166460

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Biophysics (92C05) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (7)

Mathematical frameworks for oscillatory network dynamics in neuroscience ⋮ Stochastic Bifurcations and Noise-Induced Chaos in a Dynamic Prey–Predator Plankton System ⋮ Complex mixed-mode oscillations in a Bonhoeffer-van der Pol oscillator under weak periodic perturbation ⋮ Mixed-mode oscillations and chaos from a simple second-order oscillator under weak periodic perturbation ⋮ Isostables, isochrons, and Koopman spectrum for the action-angle representation of stable fixed point dynamics ⋮ Type I vs. type II excitable systems with delayed coupling ⋮ Extending Phase Reduction to Excitable Media: Theory and Applications

Cites Work

• Integral manifolds and decomposition of singularly perturbed systems
• Resonance effects in the Bonhoeffer-van der Pol system.
• Global bifurcation structure of a Bonhoeffer-van der Pol oscillator driven by periodic pulse trains. Comparison with data from a periodically inhibited biological pacemaker
• The global bifurcation structure of the BVP neuronal model driven by periodic pulse trains
• Interaction of adiabatic phantom attractors

This page was built for publication: Threshold, excitability and isochrones in the Bonhoeffer–van der Pol system