Title :
Experimental evidence for amplitude death induced by dynamic coupling: van der Pol oscillators
Author_Institution :
Dept. of Complex Syst., Future Univ., Hakodate, Japan
Abstract :
Amplitude death is a coupling induced stabilization of a fixed point in nonlinear oscillators. This phenomenon cannot be observed in two identical nonlinear oscillators coupled by a diffusive connection. However, it has been analytically confirmed that a diffusive dynamic coupling can induce death. This study derives a necessary and sufficient condition for amplitude death in van der Pol oscillators coupled by a diffusive dynamic coupling. The well-known RC line (T-type) is used to implement the dynamic coupling.
Keywords :
RC circuits; coupled circuits; nonlinear dynamical systems; relaxation oscillators; RC line; amplitude death induced dynamic coupling; diffusive dynamic coupling; nonlinear oscillators; van der Pol oscillators; Coupling circuits; Delay effects; Density estimation robust algorithm; Electronic circuits; Frequency; Jacobian matrices; Oscillators; Physics; Steady-state; Sufficient conditions;
Conference_Titel :
Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on
Print_ISBN :
0-7803-8251-X
DOI :
10.1109/ISCAS.2004.1329123