Resonance in excitable systems under step-function forcing. II: Subharmonic solutions and persistence

DOI10.1016/0167-2789(96)00092-9zbMath0887.92014OpenAlexW2037683833MaRDI QIDQ1814688

Min Xie, Masaji Watanabe, Hans G. Othmer

Publication date: 30 October 1996

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(96)00092-9

zbMATH Keywords

subharmonic solutions

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Biophysics (92C05) Physiology (general) (92C30) Applications of dynamical systems (37N99)

Related Items (6)

The Firing of an Excitable Neuron in the Presence of Stochastic Trains of Strong Synaptic Inputs ⋮ Periodic stimulus and the single cardiac cell -- getting more out of 1D maps ⋮ Types of bifurcations of FitzHugh-Nagumo maps ⋮ Continuation and bifurcation analysis of a periodically forced excitable system ⋮ Analysis of the Fenton–Karma model through an approximation by a one-dimensional map ⋮ Topological invariants in forced piecewise-linear FitzHugh-Nagumo-like systems

Cites Work

• Dynamics of Caianiello's equation
• Period-adding bifurcations in a one parameter family of interval maps
• Small periodic perturbations of an autonomous system with a stable orbit
• Chaotic Behavior in Piecewise Continuous Difference Equations
• On the Resonance Structure in a Forced Excitable System
• On a response characteristic of a mathematical neuron model
• Unnamed Item
• Unnamed Item

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