Premium
Canonic coupling of oscillators in a ring
Author(s) -
Radparvar K.,
Kaplan B. Z.
Publication year - 1986
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490140103
Subject(s) - ring (chemistry) , coupling (piping) , simplicity , simple (philosophy) , topology (electrical circuits) , control theory (sociology) , phase (matter) , relative phase , physics , computer science , mathematics , engineering , quantum mechanics , chemistry , combinatorics , artificial intelligence , mechanical engineering , philosophy , control (management) , organic chemistry , epistemology
The paper deals with the phenomenon of coupling of several sinusoidal oscillators. The oscillators are arranged in a ring, and each oscillator affects its next neighbour in the ring. The coupling is unilateral and its main effect is due to variations in phase differences between neighbouring oscillators. The simple approach to the treatment of the behaviour of the coupling and the relative simplicity of the models of oscillators participating in the system enable an analytical solution of the problem to be found without a need to resort to complicated approximate methods. The results are supported by computer simulations. Several modes of dynamic behaviour of the system are identified. The number of possible modes increases with the number of oscillators in the ring. The paper concludes by demonstrating that the present results possess a potential of being useful in analysing some technological and natural systems.