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

Ilaria Foroni and Anna Agliari ()

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 81, issue 8, 1640-1655

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.

Keywords: Discrete dynamical systems; Subcritical Neimark–Sacker bifurcation; Homoclinic tangle (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1016/j.matcom.2010.12.008

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