Solving Winfree's puzzle: The isochrons in the FitzHugh-Nagumo model

DOI10.1063/1.4867877zbMath1374.37032OpenAlexW2012430741WikidataQ33358168 ScholiaQ33358168MaRDI QIDQ4591573

Peter Langfield, Bernd Krauskopf, Hinke M. Osinga

Publication date: 17 November 2017

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

Full work available at URL: https://semanticscholar.org/paper/9aba9cf16a1e089e1ed779c03a91ef1f67327579

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Dynamics induced by flows and semiflows (37C10) Invariant manifold theory for dynamical systems (37D10) Dynamical systems with hyperbolic orbits and sets (37D05) General biology and biomathematics (92B05)

Related Items

Forward-Time and Backward-Time Isochrons and Their Interactions ⋮ Extreme phase sensitivity in systems with fractal isochrons ⋮ Synchronization of weakly coupled canard oscillators ⋮ A Continuation Approach to Computing Phase Resetting Curves ⋮ Phase reduction and phase-based optimal control for biological systems: a tutorial ⋮ Saddle slow manifolds and canard orbits in \(\mathbb{R}^{4}\) and application to the full Hodgkin-Huxley model ⋮ Computation of Saddle-Type Slow Manifolds Using Iterative Methods

Uses Software

• AUTO
• AUTO-07P

Cites Work

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