Amplitude death induced by dynamic coupling.
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.
Konishi
Keiji
K
Department of Complex Systems, Future University-Hakodate, 116-2 Kamedanakano, Hakodate, Hokkaido 041-8655, Japan. kkonishi@fun.ac.jp