Periodic oscillators, isochronous centers and resonance
Ortega, Rafael (Universidad de Granada. Departamento de Matemática Aplicada)
Rojas, David (Universidad de Granada. Departamento de Matemática Aplicada)

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

DOI: 10.1088/1361-6544/aaee9a

Postprint 28 p, 445.8 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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