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

For citation:

Pankratova I. N. Hopf bifurcations of cycles of period two of two-dimensional logistic map. Izvestiya VUZ. Applied Nonlinear Dynamics, 2008, vol. 16, iss. 5, pp. 53-66. DOI: 10.18500/0869-6632-2008-16-5-53-66

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
517.9, 517.53
DOI: 
10.18500/0869-6632-2008-16-5-53-66

Hopf bifurcations of cycles of period two of two-dimensional logistic map

Autors: 
Pankratova Irina Nikolaevna, The Republican State Enterprise "Institute of Mathematics of the Ministry of Education and Science of the Republic of Kazakhstan"
Abstract: 

Maps having cycles of period two in which Hopf bifurcations of new cycles occur are localized in the family of two-dimensional logistic maps. For the purposes of illustration of the bifurcation property one-dimensional sections of bifurcation diagrams with one fixed parameter for two-parameters’ first-return maps of two-dimensional logistic maps are given.

Key words: 
-
Reference: 
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Received: 
29.11.2007
Accepted: 
24.04.2008
Published: 
31.12.2008
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