Synergetic Approach to the Phenomena of Mode-Locking in Nonlinear Systems
Author(s) -
Y. Aizawa
Publication year - 1976
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.56.703
Subject(s) - physics , nonlinear system , perturbation theory (quantum mechanics) , van der pol oscillator , mode (computer interface) , statistical physics , synchronization (alternating current) , perturbation (astronomy) , classical mechanics , quantum electrodynamics , theoretical physics , quantum mechanics , topology (electrical circuits) , computer science , mathematics , operating system , combinatorics
The computer experiments are carried out on the phenomena of self-synchronization in a many-mode system described by the van der Pol type equation. The results are success fully explained in terms of the perturbation theory based on a mean field approximation proposed in a previous article. The extension of the theory to further complicated pheno mena of mode-locking is briefly cliscussed.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom