Complex dynamics associated with the appearance/disappearance of invariant closed curves

Anna Agliari, Ilaria Foroni

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In this paper we study some global bifurcations arising in a heterogeneous financial model with fundamentalists and imitators. Such bifurcations which cause the appearance and disappearance of closed invariant curves (attracting or repelling) involve the stable and unstable sets of a saddle cycle with consequent changes in their dynamic behavior. Numerical investigations show that the transition between two qualitatively different regimes are characterized by the occurrence of homoclinic tangles with chaotic dynamics.
Original languageEnglish
Pages (from-to)1640-1655
Number of pages16
JournalMathematics and Computers in Simulation
Volume81
DOIs
Publication statusPublished - 2011

Keywords

  • Discrete dynamical systems
  • Homoclinic tangle
  • Subcritical Neimark–Sacker bifurcation

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