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Эта публикация цитируется в 12 научных статьях (всего в 12 статьях)
Continuous Averaging in Multi-frequency Slow-fast Systems
A. V. Pronina, D. V. Treschevb a Moscow State University, Vorob'ievy Gory,
V 10-50, Main Building,
119899, Moscow, Russia
b Faculty of Mechanics and Mathematics,
Department of Theoretical Mechanics,
Moscow State University, Vorob'ievy Gory,
119899, Moscow, Russia
Аннотация:
It is well-known that in real-analytic multi-frequency slow-fast ODE systems the dependence of the right-hand sides on fast angular variables can be reduced to an exponentially small order by a near-identical change of the variables. Realistic constructive estimates for the corresponding exponentially small terms are obtained.
Поступила в редакцию: 12.12.1999
Образец цитирования:
A. V. Pronin, D. V. Treschev, “Continuous Averaging in Multi-frequency Slow-fast Systems”, Regul. Chaotic Dyn., 5:2 (2000), 157–170
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd869 https://www.mathnet.ru/rus/rcd/v5/i2/p157
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