Name
Title | ||
|---|---|---|
Systematic designing of bi-rhythmic and tri-rhythmic models in families of Van der Pol and Rayleigh oscillators |
Abstract | ||
|---|---|---|
•Based on a general scheme of counting limit cycle of a given LLS equation we have proposed a recipe for multi-rhythmicity.•For polynomial damping and restoring force functions we have constructed birhythmic and tri-rhythmic oscillators of Van der Pol and Rayleigh families.•New alternative generalizations of Van der Pol and Rayleigh families of bi-rhythmicity and tri-rhythmicity.•The scheme is used to simulate the valid range of parameters for realizing limit cycle oscillations with different generalizations of bi-rhythmic and tri-rhythmic, Rayleigh and Van der Pol families.•As multi-rhythmicity plays an important role in switching transitions between different dynamical states, its control and manipulation would be useful. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.cnsns.2020.105234 | Communications in Nonlinear Science and Numerical Simulation |
Keywords | DocType | Volume |
Liénard–Levinson–Smith oscillator,bi-rhythmic and tri-rhythmic oscillators,Van der Pol oscillator,Rayleigh oscillator | Journal | 85 |
ISSN | Citations | PageRank |
1007-5704 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sandip Saha | 1 | 0 | 0.34 |
| Gautam Gangopadhyay | 2 | 1 | 0.73 |
| Deb Shankar Ray | 3 | 0 | 0.34 |