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

For citation:

Kuznetsov A. P., Shirokov A. P. Comparative analysis of approximate and precise mapping for a «bouncing ball». Izvestiya VUZ. Applied Nonlinear Dynamics, 2000, vol. 8, iss. 5, pp. 72-81. DOI: 10.18500/0869-6632-2000-8-5-72-81

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Language: 
Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2000-8-5-72-81

Comparative analysis of approximate and precise mapping for a «bouncing ball»

Autors: 
Kuznetsov Aleksandr Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Shirokov Andrei Petrovich, Saratov State University
Abstract: 

Approximate and precise mappings for a bouncing ball are presented. The results of comparison of dynamics showed by these mappings are given: phase portraits,
dynamical regimes topography charts, bifurcation parameter values etc. It is shown that the mapping of a bouncing ball in its traditional form occupies an intermediate position
between the physically motivated and formal models, and т certain areas of parameter space it should be regarded as a formal model.

Key words: 
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Acknowledgments: 
The work was supported by the RFBR № 00-02-17509.
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Received: 
24.04.2000
Accepted: 
27.09.2000
Published: 
07.02.2001
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