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Эта публикация цитируется в 12 научных статьях (всего в 12 статьях)
Birth of Discrete Lorenz Attractors at the Bifurcations of 3D Maps with Homoclinic Tangencies to Saddle Points
Sergey V. Gonchenkoa, Ivan I. Ovsyannikovab, Joan C. Tatjerc a Nizhny Novgorod State University,
pr. Gagarina 23, Nizhny Novgorod, 603000 Russia
b Imperial College London, SW7 2AZ, London, UK
c Dept. de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona,
Gran Via 585, 08007 Barcelona, Spain
Аннотация:
It was established in [1] that bifurcations of three-dimensional diffeomorphisms with a homoclinic tangency to a saddle-focus fixed point with the Jacobian equal to 1 can lead to Lorenz-like strange attractors. In the present paper we prove an analogous result for three-dimensional diffeomorphisms with a homoclinic tangency to a saddle fixed point with the Jacobian equal to 1, provided the quadratic homoclinic tangency under consideration is nonsimple.
Ключевые слова:
Homoclinic tangency, rescaling, 3D Hénon map, bifurcation, Lorenz-like attractor.
Поступила в редакцию: 11.04.2014 Принята в печать: 25.04.2014
Образец цитирования:
Sergey V. Gonchenko, Ivan I. Ovsyannikov, Joan C. Tatjer, “Birth of Discrete Lorenz Attractors at the Bifurcations of 3D Maps with Homoclinic Tangencies to Saddle Points”, Regul. Chaotic Dyn., 19:4 (2014), 495–505
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd176 https://www.mathnet.ru/rus/rcd/v19/i4/p495
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