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
Full text not available from this repository.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: |
|
||||||||||||
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: |
|
||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/66676 |
Downloads
Downloads per month over past year
Altmetric
Export
Actions (login required)
View Item |