2004/06/30 by J. Almeida, D. Peralta-Salas, M. Romera · 1 citation
Physics and Astronomy · #nlin.CD
paper · pdf · doi:10.1016/j.physd.2004.10.003
published as Phys. D 200 (2005) 124-132 · 22 pages, 9 figures. Please address all correspondence to D. Peralta-Salas. To appear in Physica D
arxiv created 2004/11/29 · arxiv updated 2009/12/01
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"