Can two chaotic systems give rise to order?

Details Can two chaotic systems give rise to order? Can two chaotic systems give rise to order?

2004-06-07

arxiv.org/abs/nlin/0406010v2

Phys. D 200 (2005) 124-132

Nonlinear Sciences

Chaotic Dynamics

22 pages, 9 figures. Please address all correspondence to D. Peralta-Salas. To appear in Physica D

Scientific paper

10.1016/j.physd.2004.10.003

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"

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