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- W1989749434 abstract "We consider the double mathematical pendulum in the limit when the ratio of pendulum masses is close to zero and the ratio of pendulum lengths is close to infinity. We found that the limit system has a hyperbolic periodic trajectory, whose invariant manifolds intersect transversally and the intersections are exponentially small. In this case we obtain an asymptotic formula of the homoclinic invariant for the limit system." @default.
- W1989749434 created "2016-06-24" @default.
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- W1989749434 date "2001-12-05" @default.
- W1989749434 modified "2023-09-25" @default.
- W1989749434 title "Study of the double mathematical pendulum: II. Investigation of exponentially small homoclinic intersections" @default.
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- W1989749434 doi "https://doi.org/10.1088/0305-4470/34/49/318" @default.
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