Buffer phenomenon in systems close to two-dimensional Hamiltonian ones
Trudy Instituta matematiki i mehaniki, Dynamical systems: modeling, optimization, and control, Tome 12 (2006) no. 1, pp. 109-141
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Plane Hamiltonian systems perturbed by small time-periodic terms are considered. The conditions are established under which exponentially stable periodic solutions are accumulated infinitely in these systems as the perturbations tend to zero or, in other words, the buffer phenomenon occurs. It is shown that this phenomenon is typical for a wide range of classical mechanical problems described by equations of the pendulum type.
@article{TIMM_2006_12_1_a9,
author = {A. Yu. Kolesov and E. F. Mishchenko and N. Kh. Rozov},
title = {Buffer phenomenon in systems close to two-dimensional {Hamiltonian} ones},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {109--141},
publisher = {mathdoc},
volume = {12},
number = {1},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2006_12_1_a9/}
}
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A. Yu. Kolesov; E. F. Mishchenko; N. Kh. Rozov. Buffer phenomenon in systems close to two-dimensional Hamiltonian ones. Trudy Instituta matematiki i mehaniki, Dynamical systems: modeling, optimization, and control, Tome 12 (2006) no. 1, pp. 109-141. http://geodesic.mathdoc.fr/item/TIMM_2006_12_1_a9/