Stability of symmetric periodic solutions with small amplitude of ẋ(t) = αf(x(t),x(t - 1))

Peter Dormayer, Anatoli F. Ivanov

Research output: Contribution to journalArticle

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Abstract

We study special symmetric periodic solutions of the equation ẋ(t) = αf(x(t), x(t - 1)) where α is a positive parameter and the nonlinearity f satisfies the symmetry conditions f(-u,v) = -f(u,-v) = f(u,v) . We establish the existence and stability properties for such periodic solutions with small amplitude.

Original languageEnglish (US)
Pages (from-to)61-82
Number of pages22
JournalDiscrete and Continuous Dynamical Systems
Volume5
Issue number1
StatePublished - Jan 1 1999

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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