Abstract
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.
Original language | English |
---|---|
Article number | 026209 |
Pages (from-to) | 1-8 |
Journal | Physical Review. E, Statistical nonlinear, and soft matter physics |
Volume | 78 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2008 |
Keywords
- der-pol oscillator
- chemical oscillations
- turing structures
- van
- illumination
- bifurcation