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Kunze, Markus and Ortega, Rafael (2021). Growth rates of orbits in non-periodic twist maps and a theorem by Neishtadt. Nonlinearity, 34 (6). S. 3732 - 3762. BRISTOL: IOP PUBLISHING LTD. ISSN 1361-6544

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Abstract

We consider non-periodic holomorphic twist maps of the form theta(1) = theta+1/r alpha(gamma+F-1(theta,r)),r(1)=r+r(1-alpha)F(2)(theta,r), alpha is an element of ]0, 1[ and gamma is an element of R\0 F (1), F (2) and a primitive h r (1) d theta (1) - r d theta it is shown that r(n) = O((log n)(1/alpha)) <i , if (theta(n), r(n))(n is an element of N0) <i is a forward complete real orbit of the map.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Kunze, Markus UNSPECIFIED UNSPECIFIED UNSPECIFIED Ortega, Rafael UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-571462
DOI:	10.1088/1361-6544/abebc4
Journal or Publication Title:	Nonlinearity
Volume:	34
Number:	6
Page Range:	S. 3732 - 3762
Date:	2021
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1361-6544
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language STABILITY; MAPPINGS Multiple languages Mathematics, Applied; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/57146