The Volterra lattice as a gradient flow

Regular and Chaotic Dynamics

Volumn 3, Issue 1, 1998, Pages 76-77

  Penskoi A V ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

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[No Author keywords available]

Indexed keywords

EID: 54649083037     PISSN: 15603547     EISSN: 14684845     Source Type: Journal    
DOI: 10.1070/rd1998v003n01abeh000062     Document Type: Article

References (6)

1. L.D. Fadeev, L.A. Takhtajan. Hamiltonian methods in the theory of solitons. Springer, Berlin, 1986.
2. J. Moser. Finitely many mass points on the line under the influence of an exponential potential - an integrable system. // Lecture Notes in Phys., 1975. v. 38, p. 467-497.
3. A. M. Bloch, R. W. Brockett, T. S. Ratiu. Completely Integrable Gradient Flows // Comm. Math. Phys. 1992, v. 147, No 1, p. 57-74.
4. V. L. Vereshchagin. Spectral theory of monophase solutions of the Volterra lattice // Mat. Zametki, 1990, v. 48, No 2, p. 145-148.
5. C. Tomei. The topology of isospectral manifolds of tridiagonal matrices // Duke Math. J. 1984, v. 51, No 4, p. 981-996.
6. D. Fried. The cohomology of an isospectral flow // Proc. Amer. Math. Soc. 1986, v. 98, No 2, p. 363-368.