Multivalued functions and nonwandering set of skew products of maps of an interval with complicated dynamics of quotient map

Author:

Efremova L. S.

Publisher

Allerton Press

Subject

General Mathematics

Reference14 articles.

1. Katok, A., Hasselblatt, B. Introduction to the Modern Theory of Dynamical Systems (Cambridge University Press, Cambridge, 1997; Faktorial, Moscow, 1999).

2. Arteaga, C. “Smooth Triangular Maps of the Square With Closed Set of Periodic Points”, J. Math. Anal. and Appl. 196, 987–997 (1995).

3. Kupka, J. “The Triangular MapsWith Closed Sets of Periodic Points”, J. Math. Anal. and Appl. 319, 302–314 (2006).

4. Efremova, L. S. “On the Nonwandering Set and the Center of Triangular Maps With Closed Set of Periodic Points in the Base”, Dynamic Systems and Nonlinear Phenomena (Inst. Math. NAS Ukraine, Kiev, 1990). pp. 15–25 [in Russian].

5. Efremova, L. S. “On the Nonwandering Set and Center of Some Skew Products ofMappings of the Interval”, Russian Mathematics (Iz. VUZ) 50, No. 10, 17–25 (2006).

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1. Ramified continua as global attractors of C 1 -smooth self-maps of a cylinder close to skew products;Journal of Difference Equations and Applications;2023-04-26

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4. Small C 1-smooth perturbations of skew products and the partial integrability property;Applied Mathematics and Nonlinear Sciences;2020-07-01

5. Dynamics of skew products of interval maps;Russian Mathematical Surveys;2017-02-28

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