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