Abstract
We study a particular bifurcation structure observed in the parameter space of a one-dimensional continuous piecewise smooth map generated by the credit cycle model introduced by Matsuyama, where the map is defined over the absorbing interval via three functions, one of which is a constant. We show that the flat branch gives rise to superstable cycles whose periodicity regions are ordered according to a modified U-sequence and accumulate to the curves related to homoclinic cycles which represent attractors in Milnor sense. The boundaries of these regions correspond to fold and flip border collision bifurcations of the related superstable cycles.
Original language | English (US) |
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Pages (from-to) | 13-27 |
Number of pages | 15 |
Journal | Chaos, Solitons and Fractals |
Volume | 59 |
DOIs | |
State | Published - Feb 2014 |
Funding
This work has been performed within the activity of the project PRIN 2009 “Local interactions and global dynamics in economics and finance: models and tools”, MIUR, Italy, and under the auspices of COST Action IS1104 “The EU in the new complex geography of economic systems: models, tools and policy evaluation”.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- General Mathematics
- General Physics and Astronomy
- Applied Mathematics