Universität zu Köln

Kunze, Markus and Stuart, David M. A. (2014). Nekhoroshev type stability results for Hamiltonian systems with an additional transversal component. J. Math. Anal. Appl., 419 (2). S. 1351 - 1387. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1096-0813

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Abstract

We prove exponential stability theorems of Nekhoroshev type for motion in the neighbourhood of an elliptic fixed point in Hamiltonian systems having an additional transverse component of arbitrary dimension, under certain conditions on this transverse component. We consider both the cases (i) of a strongly constrained motion, and (ii) of a weak perturbation. (C) 2014 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Kunze, Markus UNSPECIFIED UNSPECIFIED UNSPECIFIED Stuart, David M. A. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-423315
DOI:	10.1016/j.jmaa.2014.05.035
Journal or Publication Title:	J. Math. Anal. Appl.
Volume:	419
Number:	2
Page Range:	S. 1351 - 1387
Date:	2014
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
Place of Publication:	SAN DIEGO
ISSN:	1096-0813
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CLASSICAL PERTURBATION-THEORY; HIGH-FREQUENCY DEGREES; HOLONOMIC CONSTRAINTS; ELLIPTIC EQUILIBRIUM; REALIZATION; FREEDOM; LIGHT Multiple languages Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/42331