Geodesic
A method of the dissipative Henon map renormalization
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 11, pp. 1893-1908

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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. 
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     author = {Yu. V. Bibik and D. A. Sarancha},
     title = {A method of the dissipative {Henon} map renormalization},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     volume = {50},
     number = {11},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_11_a2/}
}
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Yu. V. Bibik; D. A. Sarancha. A method of the dissipative Henon map renormalization. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 11, pp. 1893-1908. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_11_a2/