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

For citation:

Zhusubaliev Z. T., Rudakov V. N., Soukhoterin E. A. On dynamics of the Henon map. Izvestiya VUZ. Applied Nonlinear Dynamics, 2000, vol. 8, iss. 3, pp. 3-16. DOI: 10.18500/0869-6632-2000-8-3-3-16

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
517.938
DOI: 
10.18500/0869-6632-2000-8-3-3-16

On dynamics of the Henon map

Autors: 
Zhusubaliev Zhanybaj Tursunbaevich, Federal state budgetary educational institution of higher professional education "South-West state University"
Rudakov Vadim Nikolaevich, Federal state budgetary educational institution of higher professional education "South-West state University"
Soukhoterin Evgenii Aleksandrovich, Federal state budgetary educational institution of higher professional education "South-West state University"
Abstract: 

Division of the parameter plane for the two—dimensional Henon mapping into domains of periodic and chaotic oscillations is studied numerically and analytically. Regularities in the occurrence of different motions and bifurcational transitions are analyzed. It is shown that there are domains in the plane of parameters, where non—uniqueness of motions exists. This may lead to abrupt changes of the character of the dynamics under variation in the parameters, that is, to а sudden transition from one stable cycle to another or to chaotization of the oscillations.

Key words: 
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Reference: 
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Received: 
10.06.1999
Accepted: 
22.05.2000
Published: 
10.07.2000
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