请输入您要查询的字词:

 

单词 DulacsTheorem
释义

Dulac’s theorem


Let x˙=f(x) be an analytic planar system, then in any bounded region of the plane there is at most a finite number of limit cyclesMathworldPlanetmath. Also any polynomial planar system has at most a finite number of limit cycles.[PL]

note about the proof:The proof was given by Dulac in 1923, but an error was found in the proof. In 1988 Jean Ecalle, Jacques Martinet, Robert Moussu, Jean Pierre Ramis and independently Yulij Ilyashenko corrected the error in the proof.[PL]

References

  • PL Perko, Lawrence: Differential EquationsMathworldPlanetmath and Dynamical SystemsMathworldPlanetmathPlanetmath. Springer-Verlag, New York, 1991.
随便看

 

数学辞典收录了18232条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/5/4 17:57:57