Nonlinear oscillations of the Fitzhugh-Nagumo equations under combined external and two-frequency parametric excitations

DOI10.1016/J.PHYSLETA.2011.02.072zbMath1242.34057OpenAlexW2060884599MaRDI QIDQ434052

J. Herrera, H. S. Yoon

Publication date: 9 July 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.02.072

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Parameter dependent boundary value problems for ordinary differential equations (34B08) Parametric resonances for nonlinear problems in mechanics (70K28) Multiple scale methods for ordinary differential equations (34E13)

Related Items (2)

The fractional-order modeling and synchronization of electrically coupled neuron systems ⋮ Stochastic dynamics of the FitzHugh-Nagumo neuron model through a modified van der Pol equation with fractional-order term and Gaussian white noise excitation

Cites Work

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• On the Resonance Structure in a Forced Excitable System
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• Parametrically excited non-linear multidegree-of-freedom systems with repeated natural frequencies
• Handbook of Noise and Vibration Control
• Quasi-periodic wave and its bifurcation in coupled magneto-elastic beam system

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