Linear Estimate for the Number of Zeros of Abelian Integrals

Dmitry Novikov; Sergey Malev

doi:10.1007/s12346-016-0213-0

Linear Estimate for the Number of Zeros of Abelian Integrals

Dmitry Novikov, Sergey Malev

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

6 ציטוטים ‏(Scopus)

תקציר

We prove a linear in deg ω upper bound on the number of real zeros of the Abelian integral I(t) = ∫ _δ ₍ _t ₎ω, where δ(t) ⊂ R² is the real oval x²y(1 - x- y) = t and ω is a one-form with polynomial coefficients.

שפה מקורית	אנגלית
עמודים (מ-עד)	689-696
מספר עמודים	8
כתב עת	Qualitative Theory of Dynamical Systems
כרך	16
מספר גיליון	3
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.1007/s12346-016-0213-0
סטטוס פרסום	פורסם - 1 אוק׳ 2017
פורסם באופן חיצוני	כן

גישה למסמך

10.1007/s12346-016-0213-0

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

@article{3450576c40314a2fac831f1d9a25fc5f,

title = "Linear Estimate for the Number of Zeros of Abelian Integrals",

abstract = "We prove a linear in deg ω upper bound on the number of real zeros of the Abelian integral I(t) = ∫ δ ( t )ω, where δ(t) ⊂ R2 is the real oval x2y(1 - x- y) = t and ω is a one-form with polynomial coefficients.",

keywords = "Abelian integrals, Infinitesimal Hilbert 16th problem, Limit cycles",

author = "Dmitry Novikov and Sergey Malev",

note = "Publisher Copyright: {\textcopyright} 2016, Springer International Publishing.",

year = "2017",

month = oct,

day = "1",

doi = "10.1007/s12346-016-0213-0",

language = "אנגלית",

volume = "16",

pages = "689--696",

journal = "Qualitative Theory of Dynamical Systems",

issn = "1575-5460",

publisher = "Springer Science + Business Media",

number = "3",

}

TY - JOUR

T1 - Linear Estimate for the Number of Zeros of Abelian Integrals

AU - Novikov, Dmitry

AU - Malev, Sergey

PY - 2017/10/1

Y1 - 2017/10/1

N2 - We prove a linear in deg ω upper bound on the number of real zeros of the Abelian integral I(t) = ∫ δ ( t )ω, where δ(t) ⊂ R2 is the real oval x2y(1 - x- y) = t and ω is a one-form with polynomial coefficients.

AB - We prove a linear in deg ω upper bound on the number of real zeros of the Abelian integral I(t) = ∫ δ ( t )ω, where δ(t) ⊂ R2 is the real oval x2y(1 - x- y) = t and ω is a one-form with polynomial coefficients.

KW - Abelian integrals

KW - Infinitesimal Hilbert 16th problem

KW - Limit cycles

UR - http://www.scopus.com/inward/record.url?scp=85029738770&partnerID=8YFLogxK

U2 - 10.1007/s12346-016-0213-0

DO - 10.1007/s12346-016-0213-0

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85029738770

SN - 1575-5460

VL - 16

SP - 689

EP - 696

JO - Qualitative Theory of Dynamical Systems

JF - Qualitative Theory of Dynamical Systems

IS - 3

ER -

Linear Estimate for the Number of Zeros of Abelian Integrals

תקציר

גישה למסמך

קבצים וקישורים אחרים

טביעת אצבע

פורמט ציטוט ביבליוגרפי