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Proceedings Paper

Control of trajectories of the kicked logistic map
Author(s): Mauricio S. Baptista; Ibere Luiz Caldas
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Paper Abstract

The main topological changes of the logistic map attractors, caused by a sequence of periodic kicks, are reported. This procedure brings up a three-parameter kicked logistic map with distinct dynamic features. Thus, its parameter space structure exhibits highly interleaved sets with different attractors, and complex basins of attraction are created. Consequently, the logistic map attractors can be modified or suppressed by these perturbations. Furthermore, additional roads to chaos, and abrupt attractor changes are identified in the new bifurcation diagrams.

Paper Details

Date Published: 1 March 1994
PDF: 12 pages
Proc. SPIE 2037, Chaos/Nonlinear Dynamics: Methods and Commercialization, (1 March 1994); doi: 10.1117/12.167531
Show Author Affiliations
Mauricio S. Baptista, Univ. de Sao Paulo (Brazil)
Ibere Luiz Caldas, Univ. de Sao Paulo (Brazil)

Published in SPIE Proceedings Vol. 2037:
Chaos/Nonlinear Dynamics: Methods and Commercialization
Helena S. Wisniewski, Editor(s)

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