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Return times dynamics: role of the Poincaré section in numerical analysis

✍ Scribed by Alexey N. Pavlov; Dmitry V. Dumsky

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
144 KB
Volume
18
Category
Article
ISSN
0960-0779

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✦ Synopsis

We study how different measures estimated from return time sequences are sensitive to choice of the Poincar e e section in the case of chaotic dynamics. We show that scaling characteristics of point processes are highly dependent on the secant plane. We focus on dynamical properties of a chaotic regime being more stable to displacements of the section than metrical characteristics.

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