Maximum Number of Limit Cycles of the Equation (b20x2 + b11xy + b02y2 + b00) dy = (a20x2 + a11xy + a02y2 + a00) dx Is Two


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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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