Maximum Number of Limit Cycles of the Equation (b20x2 + b11xy + b02y2 + b00) dy = (a20x2 + a11xy + a02y2 + a00) dx Is Two
- Authors: Rychkov G.S.1
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Affiliations:
- National Research University of Electronic Technology (MIET)
- Issue: Vol 55, No 12 (2019)
- Pages: 1671-1674
- Section: Short Communications
- URL: https://journal-vniispk.ru/0012-2661/article/view/155313
- DOI: https://doi.org/10.1134/S0012266119120139
- ID: 155313
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Abstract
We prove that the maximum number of limit cycles of the equation
\(({b_{20}}{x^2} + {b_{11}}xy + {b_{02}}{y^2} + {b_{00}})dy = ({a_{20}}{x^2} + {a_{11}}xy + {a_{02}}{y^2} + {a_{00}})dx\)![]()
for any parameter values is two.About the authors
G. S. Rychkov
National Research University of Electronic Technology (MIET)
Author for correspondence.
Email: mstlena2@mail.ru
Russian Federation, Zelenograd, Moscow, 124498
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