The coexistence of two stable limit cycles exhibiting different periods is examined for a nonlinear oscillator subject to a delayed feedback. For the case of a weakly nonlinear oscillator, we discuss the validity of a previously determined phase equation. For the case of a strongly nonlinear oscillator, we derive a phase equation and analyze its bifurcation diagram. Our analysis is motivated by previous experimental studies of chemical oscillators controlled by a delayed feedback.
|Journal||Physical Review. E, Statistical nonlinear, and soft matter physics|
|Publication status||Published - 2008|
- der-pol oscillator
- chemical oscillations
- turing structures
Erneux, T., & Grasman, J. (2008). Limit-cycle oscillators subject to a delayed feedback. Physical Review. E, Statistical nonlinear, and soft matter physics, 78(2), 1-8. . https://doi.org/10.1103/PhysRevE.78.026209