参数化hsamnon - devaney映射中的不变Cantor集

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2021-12-29 DOI:10.1080/14689367.2021.2012558

B. Leal, Sergio Muñoz

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引用次数: 1

摘要

我们考虑(三参数)非线性映射族，其中a, b, c是正实数。是经典的hsamnon - devaney图[1,2,6]。对于一个大的参数开放区域，我们展示了两个鞍型双曲不动点嵌入平面的不变康托集。

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Invariant Cantor sets in the parametrized Hénon-Devaney map

We consider the (three parameters) family of nonlinear mappings where a, b, c are positive real numbers. is the classical Hénon-Devaney map [1, 2, 6]. For a large open region of parameters, we exhibit invariant Cantor sets embedded in the plane with two hyperbolic fixed points of saddle type.

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来源期刊

Dynamical Systems-An International Journal 物理-力学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal: •Differential equations •Bifurcation theory •Hamiltonian and Lagrangian dynamics •Hyperbolic dynamics •Ergodic theory •Topological and smooth dynamics •Random dynamical systems •Applications in technology, engineering and natural and life sciences