Off-Center Reflections: Caustics and Chaos
Au, Thomas Kwok-keung ; Lin, Xiao-Song
Experiment. Math., Tome 10 (2001) no. 3, p. 287-302 / Harvested from Project Euclid
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We study the possible link between the dynamics of a certain family of circle maps and the caustics of their iterates. The maps are defined by off-center reflections in a mirrored circle; they can calso be regarded as perturbed rotations. Some of our experimental observations can be justified rigorously; for example, a lower bound is given for the number of cusps and the mode-locking behavior are studied. Symplectic topology is a particularly useful tool in this study.
Publié le : 2001-05-14
Classification:  
@article{999188638,
     author = {Au, Thomas Kwok-keung and Lin, Xiao-Song},
     title = {Off-Center Reflections: Caustics and Chaos},
     journal = {Experiment. Math.},
     volume = {10},
     number = {3},
     year = {2001},
     pages = { 287-302},
     language = {en},
     url = {http://dml.mathdoc.fr/item/999188638}
}

Au, Thomas Kwok-keung; Lin, Xiao-Song. Off-Center Reflections: Caustics and Chaos. Experiment. Math., Tome 10 (2001) no. 3, pp.  287-302. http://gdmltest.u-ga.fr/item/999188638/