Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7154890 | Communications in Nonlinear Science and Numerical Simulation | 2018 | 23 Pages |
Abstract
The map has a fixed point which may lose stability either via supercritical Neimark-Sacker bifurcation or flip bifurcation and several multistability situations exist. We describe some sequences of global bifurcations involving attracting and repelling closed invariant curves. These bifurcations, characterized by the creation of homoclinic connections or homoclinic tangles, are described through several numerical simulations. Particular bifurcation phenomena are also observed when the parameters are selected inside a periodicity region.
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Authors
Anna Agliari, Ahmad Naimzada, Nicolò Pecora,