Diffeomorphisms of multidimensional space with infinite set of stable periodic points

Research output: Contribution to journal › Article › peer-review

Department of Differential Equations

Overview
Cite this

DOI

https://doi.org/10.3103/S1063454112030077
Final published version

E. V. Vasil'eva

Multidimensional diffeomorphisms with a hyperbolic fixed point and its homoclinic point are considered. It is shown that the neighborhood of the homoclinic point can contain an infinite set of stable periodic points whose characteristic exponents are bounded away from zero.

Original language	English
Pages (from-to)	115-124
Number of pages	10
Journal	Vestnik St. Petersburg University: Mathematics
Volume	45
Issue number	3
DOIs	https://doi.org/10.3103/S1063454112030077
State	Published - 1 Jul 2012

Research areas

diffeomorphism of a multidimensional space, homoclinic points, stable periodic points

Scopus subject areas

Mathematics(all)

ID: 39987055