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Document details

Growth of number of periodic orbits of one family of skew product maps

Date: 2018

Persistent ID: http://hdl.handle.net/10198/16146

Origin: Biblioteca Digital da UPB

Project/scholarship: info:eu-repo/grantAgreement/FCT/5876-PPCDTI/PTDC/MAT/099493/2008/PT; info:eu-repo/grantAgreement/FCT//SFRH/BD/27674/2006/PT;

Subject(s): Skew-product maps; Artin-Mazur maps; Heterodimensional cycle; Homoclinic class; Index of a saddle

Description

In this article we introduce a one-parameter family of skew product (Gt)t ∈ [−ε, ε] maps exhibiting a heterodimensional cycle such that the number of isolated periodic orbits inside it has not super-exponential growth. The dynamics in the central direction of the maps Gt is described by a one-parameter family of system of iterated functions.

Document Type Journal article
Language English
Contributor(s) Biblioteca Digital da UPB
CC Licence

Document details

Growth of number of periodic orbits of one family of skew product maps

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