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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 11, Pages 1893–1908 (Mi zvmmf4958)  
A method of the dissipative Henon map renormalization

Yu. V. Bibik, D. A. Sarancha

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
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Abstract: A mechanism for period doubling and transition to chaos for the dissipative Henon map is investigated. The renormalization group technique is used for that purpose. In the context of this technique, a special approach is developed that relates the renormalization procedure with the simpler problem of the renormalization of the conservative Henon map.
Key words: renormalization group, dissipative Henon map, transition to chaos.
Received: 07.10.2009
Revised: 25.05.2010
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 11, Pages 1793–1807
DOI: https://doi.org/10.1134/S0965542510110035
Bibliographic databases:
Document Type: Article
UDC: 519.62
Language: Russian
Citation: Yu. V. Bibik, D. A. Sarancha, “A method of the dissipative Henon map renormalization”, Zh. Vychisl. Mat. Mat. Fiz., 50:11 (2010), 1893–1908; Comput. Math. Math. Phys., 50:11 (2010), 1793–1807
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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