Piecewise-linear Bonhoeffer–van der Pol dynamics explaining mixed-mode oscillation-incrementing bifurcations

DOI10.1093/PTEP/PTW008zbMath1361.34057OpenAlexW2288686643MaRDI QIDQ5347134

Naohiko Inaba, Kuniyasu Shimizu

Publication date: 22 May 2017

Published in: Progress of Theoretical and Experimental Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/ptep/ptw008

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Circuits, networks (94C99) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (9)

Bifurcation analysis of mixed-mode oscillations and Farey trees in an extended Bonhoeffer-van der Pol oscillator ⋮ Chaos in coupled heteroclinic cycles and its piecewise-constant representation ⋮ 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 ⋮ Experimental and Numerical Observation of Successive Mixed-Mode Oscillation-Incrementing Bifurcations in an Extended Bonhoeffer–van der Pol Oscillator ⋮ Nested mixed-mode oscillations ⋮ Nested mixed-mode oscillations in a canard-generating driven Bonhoeffer-van der Pol oscillator ⋮ Nested mixed-mode oscillations. II: Experimental and numerical study of a classical Bonhoeffer-van der Pol oscillator

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