Bernoulli mapping with hole and a saddle-node scenario of the birth of hyperbolic Smale–Williams attractor

Isaeva O.B., Sataev I.R. Bernoulli mapping with hole and a saddle-node scenario of the birth of hyperbolic Smale–Williams attractor. Discontinuity, Nonlinearity, and Complexity , 2020 , 9 (1). С. 13-26. ISSN 2164-6376

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Аннотация

One-dimensional Bernoulli mapping with hole is suggested to describe the regularities of the appearance of a chaotic set under the saddle-node scenario of the birth of the Smale–Williams hyperbolic attractor. In such a mapping, a non-trivial chaotic set (with non-zero Hausdorff dimension) arises in the general case as a result of a cascade of period-adding bifurcations characterized by geometric scaling both in the phase space and in the parameter space. Numerical analysis of the behavior of models demonstrating the saddle-node scenario of birth of a hyperbolic chaotic Smale–Williams attractor shows that these regularities are preserved in the case of multidimensional systems. Limits of applicability of the approximate 1D model are discussed.

Тип объекта:	Статья
Авторы на русском. ОБЯЗАТЕЛЬНО ДЛЯ АНГЛОЯЗЫЧНЫХ ПУБЛИКАЦИЙ!:	Исаева О.Б., Сатаев И.Р.
Подразделения (можно выбрать несколько, удерживая Ctrl):	СФ-7 лаб. теоретической нелинейной динамики
URI:	http://cplire.ru:8080/id/eprint/7522

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