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Snail-like pattern generation with the Hénon family of maps

AuthorsRomera, Miguel; Bañuls, V.; Pastor, Gerardo; Álvarez Marañón, Gonzalo; Montoya Vitini, Fausto
KeywordsDynamical systems
Hénon map
Issue Date31-May-2001
CitationComputers and Graphics 25(3): 529-537 (2001)
AbstractIn this paper we show that in the Hénon family of maps x(n+1)=A+By(n)−x(n)^2, y(n+1)=x(n), for given parameter values, the orbit of an initial segment has a snail-like pattern that is related to the starfish-like pattern of the orbit of an initial point for the same parameter values. We study the parameter plane in the Hénon family of maps, searching for orbits with both starfish-like and snail-like patterns.
Description9 pages, 7 figures.-- PACS nrs.: 05.45.Ac, 47.52+j.-- Printed version published on Jun 2001.
Publisher version (URL)http://dx.doi.org/10.1016/S0097-8493(01)00074-7
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