Synchronization and anchoring of two non-harmonic canonical-dissipative oscillators via Smorodinsky-Winternitz potentials
Statistical Mechanics
2017-12-15 v1
Abstract
Two non-harmonic canonical-dissipative limit cycle oscillators are considered that oscillate in one-dimensional Smorodinsky-Winternitz potentials. It is shown that the standard approach of the canonical-dissipative framework to introduce dissipative forces leads naturally to a coupling force between the oscillators that establishes synchronization. The non-harmonic character of the limit cycles in the context of anchoring, the phase difference between the synchronized oscillators, and the degree of synchronization are studied in detail.
Keywords
Cite
@article{arxiv.1712.05378,
title = {Synchronization and anchoring of two non-harmonic canonical-dissipative oscillators via Smorodinsky-Winternitz potentials},
author = {S. Mongkolsakulvong and T. D. Frank},
journal= {arXiv preprint arXiv:1712.05378},
year = {2017}
}
Comments
7 pages, 1 figure