An Analytical Study in Coupled Map Lattices of Synchronized States and Travelling Waves, and of their Period-Doubling Cascades

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dc.creatorHerrera, M. Dolores Sotelo
dc.creatorMartin, Jesus San
dc.date2008-02-12
dc.date2008-02-14
dc.date.accessioned2026-07-07T09:20:25Z
dc.date.available2026-07-07T09:20:25Z
dc.descriptionSeveral theorems are demonstrated that determine the sufficient conditions for the existence of synchronized states (periodical and chaotic) and also of travelling waves in a CML. Also are analytically proven the existence of period-doubling cascades for the mentioned patterns. The temporal state of any oscillators are completely characterized. The given results are valid for a number of arbitrary oscillators whose individual dynamics is ruled by an arbitrary C^{2} function.
dc.description35 pages and 6 figures
dc.identifierhttps://arxiv.org/abs/0802.1700
dc.identifierhttp://arxiv.org/abs/0802.1700
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154717
dc.subjectPattern Formation and Solitons
dc.subjectChaotic Dynamics
dc.titleAn Analytical Study in Coupled Map Lattices of Synchronized States and Travelling Waves, and of their Period-Doubling Cascades
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