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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Finite cyclicity of slow-fast Darboux systems with a two-saddle loop
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by Marcin Bobieński and Lubomir Gavrilov PDF
Proc. Amer. Math. Soc. 144 (2016), 4205-4219 Request permission

Abstract:

We prove that the cyclicity of a slow-fast integrable system of Darboux type with a double heteroclinic loop is finite and uniformly bounded.
References
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Additional Information
  • Marcin Bobieński
  • Affiliation: Institute of Mathematics, Warsaw University, ul. Banacha 2, 02-097 Warsaw, Poland
  • MR Author ID: 701314
  • Email: mbobi@mimuw.edu.pl
  • Lubomir Gavrilov
  • Affiliation: Institut de Mathématiques de Toulouse, UMR 5219, Université de Toulouse, CNRS, UPS IMT, F-31062 Toulouse Cedex 9, France
  • MR Author ID: 72040
  • Received by editor(s): September 13, 2013
  • Received by editor(s) in revised form: October 13, 2014
  • Published electronically: June 10, 2016
  • Additional Notes: This research was supported by Polish NCN Grant No 2011/03/B/ST1/00330
  • Communicated by: Walter Van Assche
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 4205-4219
  • MSC (2010): Primary 34C08, 34M03, 34M35
  • DOI: https://doi.org/10.1090/proc/12678
  • MathSciNet review: 3531173