Name
Title | ||
|---|---|---|
Experimental And Numerical Observation Of Successive Mixed-Mode Oscillation-Incrementing Bifurcations In An Extended Bonhoeffer-Van Der Pol Oscillator |
Abstract | ||
|---|---|---|
Mixed-mode oscillation-incrementing bifurcations (MMOIBs) are a universal phenomenon appearing in a large class of mixed-mode oscillation (MMO)-generating dynamics that appear to be governed by asymmetric Farey arithmetic. This report presents experimental and numerical observations of the simplest MMOIBs generated by an extended Bonhoeffer-van der Pol circuit. The results indicate that maintaining a constant temperature during the circuit experiments is required to yield stable MMOs and MMOIBs. We also clarify how the firing number variations related to MMOIB phenomena follow asymmetric Farey arithmetic. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1142/S0218127418300471 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | Field | DocType |
Extended Bonhoeffer-van der Pol oscillator, three-time-scale system, mixed-mode oscillations, asymmetric Farey arithmetic | Oscillation,Mathematical analysis,Van der Pol oscillator,Mixed mode,Mathematics,Farey sequence | Journal |
Volume | Issue | ISSN |
28 | 14 | 0218-1274 |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kuniyasu Shimizu | 1 | 1 | 0.73 |
| Naohiko Inaba | 2 | 3 | 2.76 |