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

نتاج البحث: نشر في مجلة › مقالة › مراجعة النظراء

8 اقتباسات (Scopus)

ملخص

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.

اللغة الأصلية	الإنجليزيّة
الصفحات (من إلى)	689-696
عدد الصفحات	8
دورية	Qualitative Theory of Dynamical Systems
مستوى الصوت	16
رقم الإصدار	3
المعرِّفات الرقمية للأشياء	https://doi.org/10.1007/s12346-016-0213-0
حالة النشر	نُشِر - 1 أكتوبر 2017
منشور خارجيًا	نعم

الوصول إلى المستند

10.1007/s12346-016-0213-0

الملفات والروابط الأخرى

Link to publication in Scopus

قم بذكر هذا

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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",

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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 - https://www.scopus.com/pages/publications/85029738770

U2 - 10.1007/s12346-016-0213-0

DO - 10.1007/s12346-016-0213-0

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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

ملخص

الوصول إلى المستند

الملفات والروابط الأخرى

بصمة

قم بذكر هذا