Can two chaotic systems give rise to order?
Chaotic Dynamics
2009-11-10 v2
Abstract
The recently discovered Parrondo's paradox claims that two losing games can result, under random or periodic alternation of their dynamics, in a winning game: "losing+losing=winning". In this paper we follow Parrondo's philosophy of combining different dynamics and we apply it to the case of one-dimensional quadratic maps. We prove that the periodic mixing of two chaotic dynamics originates an ordered dynamics in certain cases. This provides an explicit example (theoretically and numerically tested) of a different Parrondian paradoxical phenomenon: "chaos+chaos=order"
Keywords
Cite
@article{arxiv.nlin/0406010,
title = {Can two chaotic systems give rise to order?},
author = {J. Almeida and D. Peralta-Salas and M. Romera},
journal= {arXiv preprint arXiv:nlin/0406010},
year = {2009}
}
Comments
22 pages, 9 figures. Please address all correspondence to D. Peralta-Salas. To appear in Physica D