ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Pavlov A. N., Dumskij D. V. Return time dynamics in dependence to choice of the poincare section. Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 6, pp. 65-74. DOI: 10.18500/0869-6632-2003-11-6-65-74

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2003-11-6-65-74

Return time dynamics in dependence to choice of the poincare section

Autors: 
Pavlov Aleksej Nikolaevich, Saratov State University
Dumskij Dmitrij Viktorovich, Saratov State University
Abstract: 

In this paper we study how different measures of chaotic dynamics estimated from return time sequences are sensitive to choice оf the Poincare section. We show that dynamical characteristics оf chaotic oscillations аrе less sensitive to displacements оf the secant plane than metrical and scaling characteristics of evolution dynamics. 

Key words: 
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Acknowledgments: 
The authors are grateful to Prof. W. Ebeling for numerous discussions and discussion of the results. The research was supported by the Ministry of Education of the Russian Federation and CRDF (grants Y1-P-06-06, SR-006-X1), and partially supported by RFBR grant 04-02-16769 and Presidential grant (MK-2512.2004.2).
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Received: 
03.02.2003
Accepted: 
10.04.2003
Available online: 
06.12.2023
Published: 
31.12.2003
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