Compound orbits break-up in constituents: an algorithm
Chaotic Dynamics
2014-02-25 v1
Abstract
In this paper decomposition of periodic orbits in bifurcation diagrams are derived in unidimensional dynamics system , being an unimodal function. We proof a theorem which states the necessary and sufficient conditions for the break-up of compound orbits in their simpler constituents. A corollary to this theorem provides an algorithm for the computation of those orbits. This process closes the theoretical framework initiated in (Physica D, 239:1135--1146, 2010).
Cite
@article{arxiv.1402.5893,
title = {Compound orbits break-up in constituents: an algorithm},
author = {Jesús San Martín and A. González Gómez and Ma José Moscoso and Daniel Rodríguez-Pérez},
journal= {arXiv preprint arXiv:1402.5893},
year = {2014}
}