Investigation of the stability of periodic motions of an autonomous Hamiltonian system in a critical case (Q2761352)
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scientific article; zbMATH DE number 1683397
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Investigation of the stability of periodic motions of an autonomous Hamiltonian system in a critical case |
scientific article; zbMATH DE number 1683397 |
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18 December 2001
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autonomous Hamiltonian system
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critical case
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stability
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rotation of heavy circular disk
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plane rotation of rigid body around fixed point
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collision with horizontal plane
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0.92734337
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0.9252136
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0.91771966
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0.91127986
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0.9086738
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0.9064471
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0.9062625
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Investigation of the stability of periodic motions of an autonomous Hamiltonian system in a critical case (English)
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The author considers an autonomous Hamiltonian system with two degrees of freedom, for which the Hamiltonian does not depend explicitly on time and is analytical in a neighborhood of perturbed motion. The critical case is discussed: all multipliers are real and have moduli equal to unity. As examples, the author studies the stability of steady rotation of a heavy circular disk colliding with steady horizontal plane, and the stability of plane rotation of a rigid body around a fixed point.
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