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2013
Impact Factor

Adilson Motter

Unicamp, 13083-970 Campinas, SP
Departamento de Mathematica Aplicada-IMECC, Universidade Estadual de Campinas

Publications:

Letelier P. S., Motter A. E.
Arbitrariness in Defining Fractal Basins: Relations Between Open and Closed Systems
2001, vol. 6, no. 2, pp.  215-226
Abstract
A discussion about dependences of the (fractal) basin boundary dimension with the definition of the basins and the size of the exits is presented for systems with one or more exits. In particular, it is shown that the dimension is largely independent of the choice of the basins, and decreases with the size of the exits. Considering the limit of small exits, a strong relation between fractals in exit systems and chaos in closed systems is found. The discussion is illustrated by simple examples of one-dimensional maps.
Citation: Letelier P. S., Motter A. E.,  Arbitrariness in Defining Fractal Basins: Relations Between Open and Closed Systems, Regular and Chaotic Dynamics, 2001, vol. 6, no. 2, pp. 215-226
DOI:10.1070/RD2001v006n02ABEH000172

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