Title :
Synchronization in chaotic oscillators based on classical oscillator coupled by one resistor
Author :
Sekiya, Hiroo ; Moro, Seiichiro ; Mori, Shinsaku ; Sasase, Iwao
Author_Institution :
Dept. of Electr. Eng., Keio Univ., Yokohama, Japan
Abstract :
We propose the system of the simple chaotic oscillators which are based on Wien-bridge oscillator coupled by one resistor and investigate synchronization in the proposed system. Further, we propose the system of the simple chaotic oscillators which are based on van der Pol oscillator coupled by one resistor. In the system of chaotic oscillators which are based on Wien-bridge oscillator, N-phase synchronization cannot be observed but in-phase and anti-phase synchronization can be observed regardless of N. In synchronization of chaos, these synchronization phenomena are the first observations as far as we know. In case of the system of chaotic oscillators which are based on van der Pol oscillator, N-phase synchronization can be observed. From the results, it is seen that the synchronization of the classical oscillators and that of the chaotic oscillators based on them have common characteristics when classical oscillator is Wien-bridge oscillator or van der Pol oscillator
Keywords :
bridge circuits; chaos; nonlinear network analysis; relaxation oscillators; synchronisation; variable-frequency oscillators; N-phase synchronization; Wien-bridge oscillator; anti-phase synchronization; chaotic oscillators; in-phase synchronization; van der Pol oscillator; Cellular neural networks; Chaos; Large-scale systems; Mutual coupling; Noise generators; Nonlinear control systems; Nonlinear dynamical systems; Oscillators; Resistors; Systems engineering and theory;
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.1998.704013
