First derivative of topological entropy for Anosov geodesic flows in the presence of magnetic fields

Nonlinearity

Volumn 10, Issue 1, 1997, Pages 121-131

  Paternain, Gabriel P ^a   Paternain, Miguel ^a  

^a Facultad de Ciencias   (Uruguay)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000958620     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/10/1/008     Document Type: Article

References (8)

1. Arnold V I and Givental A B 1990 Symplectic geometry Dynamical Systems IV (Encyclopaedia of Mathematical Sciences) (Berlin: Springer)
2. Contreras G 1992 Regularity of topological and metric entropy of hyperbolic flows Math. Z. 210 97-111
3. Katok A, Knieper G and Weiss H 1991 Formulas for the derivative and critical points of topological entropy for Anosov and geodesic flows Commun. Math. Phys. 138 19-31
4. Katok A, Knieper G, Pollicott M and Weiss H 1989 Differentiability and analyticity of topological entropy for Anosov and geodesic flows Invent. Math. 98 581-97
5. Paternain G P and Paternain M 1994 On Anosov energy levels of convex Hamiltonian systems Math. Z. 217 367-76
6. Paternain G P and Paternain M Anosov geodesic flows and twisted symplectic structures Proc. Int. Congress on Dynamical Systems in Montevideo (in honour of Ricardo Mañé) (Pitman Research Notes in Mathematics) ed F Ledrappier, J Lewowicz and S Newhouse (Reading, MA: Addison-Wesley) to appear
7. Paternain G P 1994 On Anosov energy levels of Hamiltonians on twisted cotangent bundles Bull. Brazilian Math. Soc. 25 207-11
8. Pollicott M 1994 Derivatives of topological entropy for Anosov and geodesic flows J. Diff. Geom. 39 457-89