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arXiv · 1402.5893

Compound orbits break-up in constituents: an algorithm

Jesús San Martín·A. González Gómez·Ma José Moscoso·Daniel Rodríguez-Pérez
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Abstract

In this paper decomposition of periodic orbits in bifurcation diagrams are derived in unidimensional dynamics system $x_{n+1}=f(x_{n};r)$, being $f$ 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).

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Jesús San Martín, A. González Gómez, Ma José Moscoso, Daniel Rodríguez-Pérez. 2014-02-24. Compound orbits break-up in constituents: an algorithm. https://arxiv.org/abs/1402.5893

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