A NEW TREATMENT FOR PERIODIC SOLUTIONS AND COUPLED OSCILLATORS

A NEW TREATMENT FOR PERIODIC SOLUTIONS AND COUPLED OSCILLATORS

We develop a systematic method for deriving the phase dynamics of perturbed periodic solutions. The method is to regard periodic solutions as slowly modulated traveling solutions on the circle. There, problems are reduced to the perturbed problems from stationary solutions on the circle. This makes...

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Veröffentlicht in:Kyushu Journal of Mathematics 2011, Vol.65(2), pp.197-217
Hauptverfasser: EI, Shin-Ichiro, OHGANE, Kunishige
Format: Artikel
Sprache:eng
Schlagworte:
coupled oscillators
periodic solutions
traveling solutions
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Zusammenfassung:We develop a systematic method for deriving the phase dynamics of perturbed periodic solutions. The method is to regard periodic solutions as slowly modulated traveling solutions on the circle. There, problems are reduced to the perturbed problems from stationary solutions on the circle. This makes the treatment of periodic solutions far easier and systematic. We also give the rigorous proofs for this method.
ISSN:1340-6116
1883-2032
DOI:10.2206/kyushujm.65.197