Control of trajectories of the kicked logistic map

Mauricio S. Baptista; Ibere Luiz Caldas

doi:10.1117/12.167531

1 March 1994 Control of trajectories of the kicked logistic map

Mauricio S. Baptista, Ibere Luiz Caldas

Proceedings Volume 2037, Chaos/Nonlinear Dynamics: Methods and Commercialization; (1994) https://doi.org/10.1117/12.167531
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

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.

Citation Download Citation

Mauricio S. Baptista and Ibere Luiz Caldas "Control of trajectories of the kicked logistic map", Proc. SPIE 2037, Chaos/Nonlinear Dynamics: Methods and Commercialization, (1 March 1994); https://doi.org/10.1117/12.167531

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