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Mathematics > Dynamical Systems

arXiv:1804.03127 (math)
[Submitted on 9 Apr 2018 (v1), last revised 31 Oct 2018 (this version, v2)]

Title:Periodic oscillators, isochronous centers and resonance

Authors:Rafael Ortega, David Rojas
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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.
Comments: 28 pages
Subjects: Dynamical Systems (math.DS)
Cite as: arXiv:1804.03127 [math.DS]
  (or arXiv:1804.03127v2 [math.DS] for this version)
  https://doi.org/10.48550/arXiv.1804.03127
Related DOI: https://doi.org/10.1088/1361-6544/aaee9a

Submission history

From: David Rojas [view email]
[v1] Mon, 9 Apr 2018 17:48:30 UTC (31 KB)
[v2] Wed, 31 Oct 2018 06:54:54 UTC (31 KB)
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