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Bogdanov N. S., Kuznetsov A. P. Map «atlas» of dynamic modes for standard models of nonlinear dynamics and of radiophysic systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 2000, vol. 8, iss. 1, pp. 80-91.

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Russian
Heading: 
Methodical Papers on Nonlinear Dynamics
Article type: 
Article
UDC: 
517.9

Map «atlas» of dynamic modes for standard models of nonlinear dynamics and of radiophysic systems

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

One of the most effective computer methods of two-parametrical research of nonlinear systems is the construction of maps of dynamic modes. On maps the certain colours designate cycles of the various periods and areas of chaotic dynamics. The variety of noulinear model and radiophysical systems has required to create some kind of «atlas» of maps for most known of them. Most of basic classes of dynamic systems are submitted: one-dimensional irreversible maps, two-dimensional convertible maps, flows and nonauthonomous systems.

Key words: 
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Acknowledgments: 
The authors are grateful to S.P. Kuznetsov and I.R. Sataev for helpful discussion. The work was supported by the RFBR (grant № 97-02-16414) and Ministry of General and Professional Education of the Russian Federation № 97-0-8.3-88.
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Received: 
07.09.1999
Accepted: 
28.12.1999
Published: 
15.04.2000
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