Mixed-mode oscillations from a constrained extended Bonhoeffer–van der Pol oscillator with a diode

DOI10.1063/5.0040658zbMath1469.94195OpenAlexW3178809245MaRDI QIDQ5011763

Hidetaka Ito, Tadashi Tsubone, Hideaki Okazaki, Naohiko Inaba, Takuji Kousaka

Publication date: 27 August 2021

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

Full work available at URL: https://doi.org/10.1063/5.0040658

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Analytic circuit theory (94C05) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Complex periodic bursting structures in the Rayleigh-van der Pol-Duffing oscillator, Bifurcation analysis of mixed-mode oscillations and Farey trees in an extended Bonhoeffer-van der Pol oscillator, Nested mixed-mode oscillations in the forced van der Pol oscillator, Nested mixed-mode oscillations. III: Comparison of bifurcation structures between a driven Bonhoeffer-van der Pol oscillator and Nagumo-Sato piecewise-linear discontinuous one-dimensional map, Complex mixed-mode oscillations based on a modified Rayleigh-Duffing oscillator driven by low-frequency excitations

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