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

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Pavlov A. N., Anishchenko V. S. Computing largest Lyapunov exponent from a sequence of return times: possibilities and limitations. Izvestiya VUZ. Applied Nonlinear Dynamics, 1999, vol. 7, iss. 4, pp. 59-74. DOI: 10.18500/0869-6632-1999-7-4-59-74

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Russian
Heading: 
Methodical Papers on Nonlinear Dynamics
Article type: 
Article
UDC: 
538.56:517.33:621.373
DOI: 
10.18500/0869-6632-1999-7-4-59-74

Computing largest Lyapunov exponent from a sequence of return times: possibilities and limitations

Autors: 
Pavlov Aleksej Nikolaevich, Saratov State University
Anishchenko Vadim Semenovich, Saratov State University
Abstract: 

We analyze whether it is possible to estimate dynamical characteristics of a chaotic attractor from а sequence of return times and study how the choice of a secant plane influences the result of reconstruction. Using Rossler model as ап example it is shown that the largest Lyapunov exponent can be determined from a series of return times even in that case, when not all the phase trajectories cross а secant plane.

Key words: 
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Acknowledgments: 
The work was supported by the grant INTAS (№ 96-0305).
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Received: 
26.04.1999
Accepted: 
09.06.1999
Published: 
01.10.1999
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