- 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...
Expand abstract - Publisher copy:
- 10.1070/RD2000v005n01ABEH000120
-
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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
- Copyright date:
- 2000
Journal article
A brief history of Kovalevskaya exponents and modern developments
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