Title :
Mutual synchronization in 4 coupled oscillators with different natural frequencies
Author :
Moro, Seiichiro ; Mori, Shinsaku ; Sasade, I.
Author_Institution :
Keio Univ., Yokohama, Japan
Abstract :
In this paper, we investigate the synchronization phenomena in 4 oscillators with different natural frequencies full-coupled by capacitors. When there is no natural frequency difference among the oscillators, 4-phase oscillation is not stable. In this system, however, because the frequencies of the oscillators have a slight difference, nearly sinusoidal 4-phase oscillations are stably excited. Moreover we have proved the stability of 4-phase solutions by calculating the stability of the fixed points and considered why frequency locking occurs. From the results we can confirm that 4-phase oscillations can be excited when the symmetry of the system collapses
Keywords :
circuit stability; coupled circuits; equivalent circuits; network analysis; oscillators; synchronisation; coupled oscillators; frequency locking; mutual synchronization; natural frequency difference; sinusoidal four-phase oscillations; stability; synchronization phenomena; system symmetry collapse; Capacitors; Coupling circuits; Difference equations; Frequency synchronization; Machinery; Mutual coupling; Nonlinear equations; Resistors; Ring oscillators; Stability;
Conference_Titel :
Circuits and Systems, 1998. ISCAS '98. Proceedings of the 1998 IEEE International Symposium on
Conference_Location :
Monterey, CA
Print_ISBN :
0-7803-4455-3
DOI :
10.1109/ISCAS.1998.704067
