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Recurrent Motions in a Piecewise Linear Oscillator
dc.contributor.author | Ortega Ríos, Rafael | |
dc.date.accessioned | 2022-07-29T10:40:42Z | |
dc.date.available | 2022-07-29T10:40:42Z | |
dc.date.issued | 2022-07-11 | |
dc.identifier.citation | Ortega, R., Schliessauf, H. Recurrent Motions in a Piecewise Linear Oscillator. Ann. Henri Poincaré (2022). [https://doi.org/10.1007/s00023-022-01217-6] | es_ES |
dc.identifier.uri | http://hdl.handle.net/10481/76431 | |
dc.description.abstract | We study the oscillator ¨x + n2x + h(x) = p(t), where h is a piecewise linear saturation function and p is a continuous 2π-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. | es_ES |
dc.description.sponsorship | German Research Foundation (DFG) SF-B/TRR 191 | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Birkhäuser | es_ES |
dc.rights | Atribución 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.title | Recurrent Motions in a Piecewise Linear Oscillator | es_ES |
dc.type | journal article | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.identifier.doi | 10.1007/s00023-022-01217-6 | |
dc.type.hasVersion | VoR | es_ES |