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.

Foroni, I., Agliari, A. (2011). Complex dynamics associated with the appearance/disappearance of invariant closed curves. MATHEMATICS AND COMPUTERS IN SIMULATION, 81(8), 1640-1655 [10.1016/j.matcom.2010.12.008].

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

FORONI, ILARIA;
2011

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.
Articolo in rivista - Articolo scientifico
Discrete dynamical systems; Subcritical Neimark–Sacker bifurcation; Homoclinic tangle
English
2011
81
8
1640
1655
none
Foroni, I., Agliari, A. (2011). Complex dynamics associated with the appearance/disappearance of invariant closed curves. MATHEMATICS AND COMPUTERS IN SIMULATION, 81(8), 1640-1655 [10.1016/j.matcom.2010.12.008].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/21887
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