English

Monotonicity of the period of a non linear oscillator

Classical Analysis and ODEs 2015-12-29 v1 Classical Physics

Abstract

We revisit the problem of monotonicity of the period function for the differential equation u"u+up=0u"-u+u^p=0 and give a simple proof of recent results of Miyamoto and Yagasaki.

Keywords

Cite

@article{arxiv.1512.08487,
  title  = {Monotonicity of the period of a non linear oscillator},
  author = {R. D. Benguria and M. C. Depassier and M. Loss},
  journal= {arXiv preprint arXiv:1512.08487},
  year   = {2015}
}

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9 pages