Universität zu Köln

Ortega, Rafael and Schliessauf, Henrik (2023). Recurrent Motions in a Piecewise Linear Oscillator. Ann. Henri Poincare, 24 (2). S. 697 - 716. CHAM: SPRINGER INT PUBL AG. ISSN 1424-0661

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Abstract

We study the oscillator (x)over dot + n(2)x + h(x) = p(t), where h is a piecewise linear saturation function and p is a continuous 2 pi periodic forcing. It is shown that there is recurrence if and only if p satisfies the Lazer-Leach condition. This condition relates the n-th Fourier coefficient of p(t) with the maximum of h and was first introduced to characterize the existence of periodic solutions.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Ortega, Rafael UNSPECIFIED UNSPECIFIED UNSPECIFIED Schliessauf, Henrik UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-666764
DOI:	10.1007/s00023-022-01217-6
Journal or Publication Title:	Ann. Henri Poincare
Volume:	24
Number:	2
Page Range:	S. 697 - 716
Date:	2023
Publisher:	SPRINGER INT PUBL AG
Place of Publication:	CHAM
ISSN:	1424-0661
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SEMILINEAR DUFFING EQUATIONS; BOUNDEDNESS; RESONANCE Multiple languages Physics, Multidisciplinary; Physics, Particles & Fields; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/66676