Pseudo-abelian integrals on slow-fast darboux systems

Marcin Bobienski; Pavao Mardešic; Dmitry Novikov

doi:https://doi.org/10.5802/aif.2765

Pseudo-abelian integrals on slow-fast darboux systems

Marcin Bobienski, Pavao Mardešic, Dmitry Novikov

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

We study pseudo-abelian integrals associated with polynomial deformations of slow-fast Darboux integrable systems. Under some assumptions we prove local boundedness of the number of their zeros.

Original language	English
Pages (from-to)	417-430
Number of pages	14
Journal	Annales De L Institut Fourier
Volume	63
Issue number	2
DOIs	https://doi.org/10.5802/aif.2765
State	Published - 2013

All Science Journal Classification (ASJC) codes

Geometry and Topology
Algebra and Number Theory

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https://doi.org/10.5802/aif.2765

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title = "Pseudo-abelian integrals on slow-fast darboux systems",

abstract = "We study pseudo-abelian integrals associated with polynomial deformations of slow-fast Darboux integrable systems. Under some assumptions we prove local boundedness of the number of their zeros.",

author = "Marcin Bobienski and Pavao Marde{\v s}ic and Dmitry Novikov",

note = "ANR ANAR Project; Polish MNiSzW Grant [N N201 397937]; Israel Science Foundation [1501/08]This research was supported by ANR ANAR Project, Polish MNiSzW Grant No N N201 397937, and by Israel Science Foundation (grant No. 1501/08).",

year = "2013",

doi = "https://doi.org/10.5802/aif.2765",

language = "الإنجليزيّة",

volume = "63",

pages = "417--430",

journal = "Annales De L Institut Fourier",

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TY - JOUR

T1 - Pseudo-abelian integrals on slow-fast darboux systems

AU - Bobienski, Marcin

AU - Mardešic, Pavao

AU - Novikov, Dmitry

N1 - ANR ANAR Project; Polish MNiSzW Grant [N N201 397937]; Israel Science Foundation [1501/08]This research was supported by ANR ANAR Project, Polish MNiSzW Grant No N N201 397937, and by Israel Science Foundation (grant No. 1501/08).

PY - 2013

Y1 - 2013

N2 - We study pseudo-abelian integrals associated with polynomial deformations of slow-fast Darboux integrable systems. Under some assumptions we prove local boundedness of the number of their zeros.

AB - We study pseudo-abelian integrals associated with polynomial deformations of slow-fast Darboux integrable systems. Under some assumptions we prove local boundedness of the number of their zeros.

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U2 - https://doi.org/10.5802/aif.2765

DO - https://doi.org/10.5802/aif.2765

M3 - مقالة

SN - 0373-0956

VL - 63

SP - 417

EP - 430

JO - Annales De L Institut Fourier

JF - Annales De L Institut Fourier

IS - 2

ER -

Pseudo-abelian integrals on slow-fast darboux systems

Abstract

All Science Journal Classification (ASJC) codes

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