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Study of the double mathematical pendulum - III. Menikov's method applied to the system in the limit of small ratio of pendulums masses. / Ivanov, A.V.
в: Regular and Chaotic Dynamics, Том 5, № 3, 2000, стр. 329-344.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Study of the double mathematical pendulum - III. Menikov's method applied to the system in the limit of small ratio of pendulums masses
AU - Ivanov, A.V.
PY - 2000
Y1 - 2000
N2 - 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.
AB - 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.
M3 - статья
VL - 5
SP - 329
EP - 344
JO - Regular and Chaotic Dynamics
JF - Regular and Chaotic Dynamics
SN - 1560-3547
IS - 3
ER -
ID: 5560626