Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems

Shui Nee Chow, Bo Deng

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Under some generic conditions, we show how a unique stable periodic orbit can bifurcate from a homoclinic orbit for semilinear parabolic equations and retarded functional differential equations. This is a generalization of a result of Sil'nikov for ordinary differential equations.

Original languageEnglish (US)
Pages (from-to)539-587
Number of pages49
JournalTransactions of the American Mathematical Society
Volume312
Issue number2
DOIs
StatePublished - Jan 1 1989

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Retarded Functional Differential Equations
Infinite-dimensional Systems
Semilinear Parabolic Equation
Homoclinic Orbit
Periodic Orbits
Ordinary differential equation
Orbits
Bifurcation
Ordinary differential equations
Differential equations
Generalization

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems. / Chow, Shui Nee; Deng, Bo.

In: Transactions of the American Mathematical Society, Vol. 312, No. 2, 01.01.1989, p. 539-587.

Research output: Contribution to journalArticle

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