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A brief history of Kovalevskaya exponents and modern developments

Abstract:

The Kovalevskaya exponents are sets of exponents that can be associated with a given nonlinear vector field. They correspond to the Fuchs' indices of the linearized vector field around particular scale invariant solutions. They were used by S. Kovalevskaya to prove the single-valuedness of the classical cases of integrability of the rigid body motion. In this paper, a history of the discovery and multiple re-discoveries of the Kovalevskaya exponents is given together with the modern use of Ko...

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Journal:
Regular and Chaotic Dynamics
Volume:
5
Issue:
1
Pages:
3-15
Publication date:
2000-01-01
DOI:
EISSN:
1468-4845
ISSN:
1560-3547
URN:
uuid:04c7d1cb-46af-42dc-9623-9d6af110f046
Source identifiers:
189889
Local pid:
pubs:189889
Language:
English

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