Period-doubling cascades of a Silnikov equation
Dynamical Systems
2013-12-17 v2
Abstract
Based on numerical results of a Silnikov equation, three period-doubling cascades, corresponding respectively to three different characters of the rotation number of a limit closed orbit, are studied, and the Feigenbaum constant is used successfully in the estimation of the critical parameter values for the period-doubling bifurcation. The conceptions of separaror and pseudo-attractor are also introduced in the discussion part of this paper.
Keywords
Cite
@article{arxiv.1312.2043,
title = {Period-doubling cascades of a Silnikov equation},
author = {Keying Guan and Beiye Feng},
journal= {arXiv preprint arXiv:1312.2043},
year = {2013}
}
Comments
20 pages, 41 figures