𝔖 Bobbio Scriptorium
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Exploring chaotic motion through periodic orbits

✍ Scribed by Auerbach, Ditza; Cvitanović, Predrag; Eckmann, Jean-Pierre; Gunaratne, Gemunu; Procaccia, Itamar


Book ID
125548166
Publisher
The American Physical Society
Year
1987
Tongue
English
Weight
130 KB
Volume
58
Category
Article
ISSN
0031-9007

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Chaotic di usion on periodic orbits (POs) is studied for the perturbed Arnol'd cat map, exhibiting a transition from uniform to nonuniform hyperbolicity as the perturbation parameter is increased. The results for the di usion coe cient from PO formulas agree very well with those obtained by standard

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Periodic-orbit (PO) formulas for chaotic-di usion probability distributions (PDs) are examined in the case of the perturbed Arnol'd cat map on the cylinder. This translationally invariant system exhibits a transition from uniform to nonuniform hyperbolicity as the perturbation parameter is increased