Invariant algebraic surfaces and hopf bifurcation of a finance model

Murilo R. Cândido, Jaume Llibre, Claudia Valls

Research output: Contribution to journalArticleResearch

3 Citations (Scopus)


© 2018 World Scientific Publishing Company. Recently there are several works studying the finance model (equation presented), where a,b and c are positive parameters. The first objective of this paper is to show that this model exhibits one small-amplitude periodic solution emerging from a Hopf bifurcation at the equilibrium point (0, 1/b, 0) and in the second one we show that this system does not have invariant algebraic surfaces for any value of the parameters.
Original languageEnglish
Article number1850150
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Publication statusPublished - 1 Nov 2018


  • Darboux integrability
  • Hopf bifurcation
  • Lyapunov constant
  • averaging theory
  • invariant algebraic surface


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