Nested mixed-mode oscillations. II: Experimental and numerical study of a classical Bonhoeffer-van der Pol oscillator

DOI10.1016/j.physd.2020.132493zbMath1498.34135OpenAlexW3016955829MaRDI QIDQ2115537

Naohiko Inaba, Tadashi Tsubone

Publication date: 17 March 2022

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

Full work available at URL: https://doi.org/10.1016/j.physd.2020.132493

zbMATH Keywords

classical Bonhoeffer-van der Pol oscillatorMMO-incrementing bifurcationsnested mixed-mode oscillations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Relaxation oscillations for ordinary differential equations (34C26)

Related Items (10)

Bifurcation analysis of mixed-mode oscillations and Farey trees in an extended Bonhoeffer-van der Pol oscillator ⋮ Complex bursting dynamics in the cubic-quintic Duffing-van der Pol system with two external periodic excitations ⋮ Nested mixed-mode oscillations in the forced van der Pol oscillator ⋮ Experimental and numerical study of the synchronization of canards in identical coupled canard-generating Bonhoeffer-van der Pol oscillators ⋮ 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 vibration types triggered by the pitchfork bifurcation delay in a driven van der Pol-Duffing oscillator ⋮ Periodic bursting behaviors induced by pulse-shaped explosion or non-pulse-shaped explosion in a van der Pol-Mathieu oscillator with external excitation ⋮ Nested mixed-mode oscillations in a canard-generating driven Bonhoeffer-van der Pol oscillator ⋮ Mixed-mode oscillations from a constrained extended Bonhoeffer–van der Pol oscillator with a diode ⋮ Complex mixed-mode oscillations based on a modified Rayleigh-Duffing oscillator driven by low-frequency excitations

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