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Kovalevskaya rods and Kovalevskaya waves

Abstract:

The Kirchhoff analogy for elastic rods establishes the equivalence between the solutions of the classical spinning top and the stationary solutions of the Kirchhoff model for thin elastic rods with circular cross-sections. In this paper the Kirchhoff analogy is further generalized to show that the classical Kovalevskaya solution for the rigid body problem is formally equivalent to the solution of the Kirchhoff model for thin elastic rod with anisotropic cross-sections (elastic strips). These ...

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Authors


Goriely, A More by this author
Nizette, M More by this author
Journal:
Regular and Chaotic Dynamics
Volume:
5
Issue:
1
Pages:
95-106
Publication date:
2000
DOI:
EISSN:
1468-4845
ISSN:
1560-3547
URN:
uuid:4c979fc4-d6f2-42b2-bca2-e5916882e472
Source identifiers:
189890
Local pid:
pubs:189890
Language:
English

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