On a modified version of a solvable ODE due to Painlevé

Published 18 January 2002 • Published under licence by IOP Publishing Ltd
, , Citation F Calogero 2002 J. Phys. A: Math. Gen. 35 985 DOI 10.1088/0305-4470/35/4/310

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1 Dipartimento di Fisica, Università di Roma `La Sapienza', 00185 Roma, Italy and Istituto Nazionale di Fisica Nazionale, Sezione di Roma, Italy

Dates

  1. Received 16 November 2001
  2. Published

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0305-4470/35/4/985

Abstract

We introduce a modified version of an ODE originally introduced by Painlevé, and we show that it possesses a lot of periodic solutions. We also use (a simplified version of) it to verify the efficacy of an iterative approach used elsewhere, in more general contexts, to evince analogous properties of periodicity of (systems of) nonlinear ODEs.

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