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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 9, Pages 1582–1593
(Mi zvmmf411)
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This article is cited in 3 scientific papers (total in 3 papers)
Buffer phenomenon in systems with one and a half degrees of freedom
S. D. Glyzina, A. Yu. Kolesova, N. Kh. Rozovb a Faculty of Mathematics, Yaroslavl State University, Sovetskaya ul. 14, Yaroslavl, 150000, Russia
b Faculty of Mathematics and Mechanics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Abstract:
The buffer phenomenon is established for some classical mechanics problems that are described by pendulum-type equations with time-periodic small additive terms. This phenomenon is as follows: the systems under consideration can have an arbitrary fixed number of stable periodic modes if the system parameters are properly chosen.
Key words:
buffer phenomenon, pendulum-type equations, systems with one and a half degrees of freedom, attractor.
Received: 11.01.2006
Citation:
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Buffer phenomenon in systems with one and a half degrees of freedom”, Zh. Vychisl. Mat. Mat. Fiz., 46:9 (2006), 1582–1593; Comput. Math. Math. Phys., 46:9 (2006), 1503–1514
Linking options:
https://www.mathnet.ru/eng/zvmmf411 https://www.mathnet.ru/eng/zvmmf/v46/i9/p1582
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