Wild pseudohyperbolic attractor in a four-dimensional Lorenz system

被引：28
|
作者：
Gonchenko, Sergey [1 ,2 ]
Kazakov, Alexey [2 ]
Turaev, Dmitry [2 ,3 ]
机构：
[1] Lobachevsky State Univ Nizhny Novgorod, Sci & Educ Math Ctr Math Future Technol, 23 Prospekt Gagarina, Nizhnii Novgorod 603950, Russia
[2] Natl Res Univ, Higher Sch Econ, 25-12 Bolshaya Pecherskaya Ulitsa, Nizhnii Novgorod 603155, Russia
[3] Imperial Coll, London SW7 2AZ, England
来源：
NONLINEARITY | 2021年 / 34卷 / 04期
基金：
英国工程与自然科学研究理事会; 俄罗斯科学基金会;
关键词：
strange attractor; pseudohyperbolicity; wild hyperbolic set; Lorenz system; quasiattractor; COMPUTER-ASSISTED PROOF; HOMOCLINIC TANGENCIES; 3-DIMENSIONAL DIFFEOMORPHISMS; GLOBAL BIFURCATIONS; CHAOTIC DYNAMICS; ODE SOLVER; MODELS; EXISTENCE; MAPS; PERTURBATIONS;
D O I：
10.1088/1361-6544/abc794
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present an example of a new strange attractor which, as we show, belongs to a class of wild pseudohyperbolic spiral attractors. We find this attractor in a four-dimensional system of differential equations which can be represented as an extension of the Lorenz system.
引用
收藏
页码：2018 / 2047
页数：30
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