Home > Articles > Published articles > Periodic oscillators, isochronous centers and resonance |
Date: | 2019 |
Abstract: | An oscillator is called isochronous if all motions have a common period. When the system is forced by a time-dependent perturbation with the same period the dynamics may change and the phenomenon of resonance can appear. In this context, resonance means that all solutions are unbounded. The theory of resonance is well known for the harmonic oscillator and we extend it to nonlinear isochronous oscillators. |
Grants: | Ministerio de Economía y Competitividad MTM2017-82348-C2-1-P Ministerio de Economía y Competitividad MTM2017-86795-C3-1-P |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Isochronous center ; Oscillator ; Resonance ; Perturbation |
Published in: | Nonlinearity, Vol. 32, Núm. 3 (March 2019) , p. 800-832, ISSN 1361-6544 |
Postprint 28 p, 445.8 KB |