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

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Article type: 
Article
UDC: 
517.9, 517.53

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.

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Reference: 
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Received: 
29.11.2007
Accepted: 
24.04.2008
Published: 
31.12.2008
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