Typical coexistence of infinitely many strange attractors

被引：0

作者：

Barrientos, Pablo G. ^{[1
]}

Rojas, Juan David ^{[2
]}

机构：

[1] Inst Matemat & Estat, UFF, Rua Mario St Braga S-N-Campus Valonguinhos, Niteroi, Brazil

[2] Univ Rosario, Escuela Ingn Ciencia & Tecnol, Bogota, Colombia

来源：

MATHEMATISCHE ZEITSCHRIFT | 2023年 / 303卷 / 02期

关键词：

NEWHOUSE REGIONS; DIFFEOMORPHISMS; PERSISTENCE; DYNAMICS;

D O I：

10.1007/s00209-022-03183-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the coexistence of infinitely many prevalent Henon-like phenomena is Kolmogorov typical in sectional dissipative C-d,C-r-Berger domains of parameter families of diffeomorphisms of dimension m >= 3 for d < r - 1. Namely, we answer an old question posed by Colli in [Annales de l'Institut Henri Poincare-Nonlinear Analysis, 15, 539-580 (1998)] on typicality of the coexistence of infinitely many non-hyperbolic strange attractors for 3 <= d < r - 1.

引用

页数：14

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