Deterministic description of a phase transition in a medium of interacting waves
We describe an effect of phase-locking catastrophe arising in an ensemble of a great number of oscillators interacting by means of their emitting waves. These waves can be either pulsatile, that is, soliton-like, or continuous stationary waves generated by the oscillators considered as resonators. E...
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2000-01-01
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| Series: | Nonlinear Processes in Geophysics |
| Online Access: | http://www.nonlin-processes-geophys.net/7/117/2000/npg-7-117-2000.pdf |
| Summary: | We describe an effect of phase-locking catastrophe arising in an ensemble of a great number of oscillators interacting by means of their emitting waves. These waves can be either pulsatile, that is, soliton-like, or continuous stationary waves generated by the oscillators considered as resonators. Each one of these waves will introduce certain perturbations among the phases of the oscillators of the ensemble in such a way that it is possible to follow in time the distribution of these phases. In fact, we deduce the p.d.e's governing the evolution in time of this distribution, which displays a tendency of accumulating around certain of its values (phase-locking), and also of sudden increasing of the intensity of the physical effect (a 'phase transition'). |
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| ISSN: | 1023-5809 1607-7946 |