LINEAR ESTIMATE OF THE NUMBER OF ZEROS OF ABELIAN INTEGRALS FOR A KIND OF QUINTIC HAMILTONIANS

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NYAMORADI N.; ZANGENEH H.R.Z.

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ISSN: 2588-4824

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Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2011 | Volume:37 | Issue:2 Page(s): 101-116

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Title

LINEAR ESTIMATE OF THE NUMBER OF ZEROS OF ABELIAN INTEGRALS FOR A KIND OF QUINTIC HAMILTONIANS

Author(s)

NYAMORADI N. | ZANGENEH H.R.Z. | Issue Writer Certificate

Keywords

ZEROS OF ABELIAN INTEGRALS

HILBERT'S 16TH PROBLEM

LIMIT CYCLES

Abstract

We consider the number of zeros of the integral I(h) = òGh w .of real polynomial form! of degree not greater than n over a family of vanishing cycles on curves Gh: y2+3 x2- x6=h, where the integral is considered as a function of the parameter h. We prove that the number of zeros of I (h), for 0<h<2, is bounded above by 2 [n−1/ 2] +1.

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APA: Copy

NYAMORADI, N., & ZANGENEH, H.R.Z.. (2011). LINEAR ESTIMATE OF THE NUMBER OF ZEROS OF ABELIAN INTEGRALS FOR A KIND OF QUINTIC HAMILTONIANS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(2), 101-116. SID. https://sid.ir/paper/628060/en

Vancouver: Copy

NYAMORADI N., ZANGENEH H.R.Z.. LINEAR ESTIMATE OF THE NUMBER OF ZEROS OF ABELIAN INTEGRALS FOR A KIND OF QUINTIC HAMILTONIANS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(2):101-116. Available from: https://sid.ir/paper/628060/en

IEEE: Copy

N. NYAMORADI, and H.R.Z. ZANGENEH, “LINEAR ESTIMATE OF THE NUMBER OF ZEROS OF ABELIAN INTEGRALS FOR A KIND OF QUINTIC HAMILTONIANS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 2, pp. 101–116, 2011, [Online]. Available: https://sid.ir/paper/628060/en

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