Persistence of invariant tori in systems of coupled oscillators I: Regular and singular problems

Masaji Watanabe, Hans G. Othmer, Klaus Schmitt

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this paper we study a class of differential equations that arises in the study of indirectly- or capacitively-coupled oscillators. We prove that the invariant tori which exist in the uncoupled system persist under coupling, we establish the asymptotic behavior of the flow in a neighborhood of these tori, and we study the flow on the invariant tori.

Original languageEnglish
Pages (from-to)331-368
Number of pages38
JournalDifferential and Integral Equations
Volume4
Issue number2
Publication statusPublished - 1991
Externally publishedYes

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Invariant Tori
Singular Problems
Coupled Oscillators
Persistence
Differential equations
Torus
Asymptotic Behavior
Differential equation
Class

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Persistence of invariant tori in systems of coupled oscillators I : Regular and singular problems. / Watanabe, Masaji; Othmer, Hans G.; Schmitt, Klaus.

In: Differential and Integral Equations, Vol. 4, No. 2, 1991, p. 331-368.

Research output: Contribution to journalArticle

Watanabe, Masaji ; Othmer, Hans G. ; Schmitt, Klaus. / Persistence of invariant tori in systems of coupled oscillators I : Regular and singular problems. In: Differential and Integral Equations. 1991 ; Vol. 4, No. 2. pp. 331-368.
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