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Эта публикация цитируется в 5 научных статьях (всего в 5 статьях)
Study of the Double Mathematical Pendulum — III. Melnikov's Method Applied to the System In the Limit of Small Ratio of Pendulums Masses
A. V. Ivanov Physics Department,
St.-Petersburg State University,
Ulyanov str. 1, build. 1
Аннотация:
We consider the double mathematical pendulum in the limit when the ratio of pendulums masses is close to zero and if the value of one of other system parameters is close to degenerate value (i.e. zero or infinity). We investigate homoclinic intersections, using Melnikov's method, and obtain an asymptotic formula for the homoclinic invariant in this case.
Поступила в редакцию: 11.01.2000
Образец цитирования:
A. V. Ivanov, “Study of the Double Mathematical Pendulum — III. Melnikov's Method Applied to the System In the Limit of Small Ratio of Pendulums Masses”, Regul. Chaotic Dyn., 5:3 (2000), 329–343
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd883 https://www.mathnet.ru/rus/rcd/v5/i3/p329
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