Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627065 | Applied Mathematics and Computation | 2015 | 12 Pages |
Abstract
We study the dynamics of a growth model formulated in the tradition of Kaldor and Pasinetti where the accumulation of the ratio capital/workers is regulated by a two-dimensional discontinuous map with triangular structure. We determine analytically the border collision bifurcation boundaries of periodicity regions related to attracting cycles, showing that in a two-dimensional parameter plane these regions are organized in the period adding structure. We show that the cascade of flip bifurcations in the base one-dimensional map corresponds for the two-dimensional map to a sequence of pitchfork and flip bifurcations for cycles of even and odd periods, respectively.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Fabio Tramontana, Iryna Sushko, Viktor Avrutin,