Bifurcation of synchronized periodic solutions in systems of coupled oscillators I: Perturbation results for weak and strong coupling

Masaji Watanabe

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

This paper concerns a class of differential equations that govern the evolution of indirectly coupled oscillators. We establish the existence of synchronized periodic solutions for weak and strong coupling under certain conditions. The stability of the periodic solutions is also analyzed.

Original languageEnglish
Pages (from-to)1483-1525
Number of pages43
JournalRocky Mountain Journal of Mathematics
Volume23
Issue number4
DOIs
Publication statusPublished - 1993

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Bifurcation of synchronized periodic solutions in systems of coupled oscillators I: Perturbation results for weak and strong coupling'. Together they form a unique fingerprint.

Cite this