Abstract
The present paper shows that dynamic coupling induces amplitude death in coupled identical oscillators. For a simple limit-cycle oscillator, our theoretical analysis provides the necessary and sufficient condition for amplitude death. Furthermore, we guarantee that amplitude death never occurs, if each oscillator satisfies the odd number property that is known in the field of delayed-feedback control of chaos.
- Received 8 April 2003
DOI:https://doi.org/10.1103/PhysRevE.68.067202
©2003 American Physical Society
