Complex entropy for dynamical systems
Delyon, F. ; Foulon, P.
Annales de l'I.H.P. Physique théorique, Tome 54 (1991), p. 891-902 / Harvested from Numdam
Publié le : 1991-01-01
@article{AIHPA_1991__55_4_891_0,
     author = {Delyon, Fran\c cois and Foulon, Patrick},
     title = {Complex entropy for dynamical systems},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {54},
     year = {1991},
     pages = {891-902},
     mrnumber = {1144106},
     zbl = {0748.58009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1991__55_4_891_0}
}
Delyon, F.; Foulon, P. Complex entropy for dynamical systems. Annales de l'I.H.P. Physique théorique, Tome 54 (1991) pp. 891-902. http://gdmltest.u-ga.fr/item/AIHPA_1991__55_4_891_0/

[1] F. Delyon and P. Foulon, Adiabatic Theory, Lyapunov Exponents and Rotation Number for Quadratic Hamiltonians, J. Stat. Phys., Vol. 49, 3/4, 1987, pp. 829-840. | MR 926202 | Zbl 0965.37506

[2] P. Foulon, Géométrie des équations différentielles du second ordre, Ann. Inst. Henri Poincaré, 45, 1986, pp. 1-28. | Numdam | MR 856446 | Zbl 0624.58011

[3] P. Foulon, Estimation de l'entropie des systèmes lagrangiens sans points conjugués, Preprint, 1985.

[4] Ya.B. Pesin, Geodesic Flows with Hyperbolic Behavior of the Trajectories and Objects Connected with Them, Russian Math. Surveys, Vol. 36, 4, 1981, pp. 1-59. | MR 629682 | Zbl 0493.58001

[5] Ya.B. Pesin, Formulae for the Entropy of a Geodesic Flow on a Compact Riemannian Manifold Without Conjugate Points, Mat. Zametki, Vol. 24, 1978, pp. 553-570, Math. Notes, Vol. 24, 1978, pp. 796-805. | MR 513656 | Zbl 0411.58016

[6] D. Ruelle, Ergodic Theory of Differentiable dynamical Systems, Publ. Math. I.H.E.S., Vol. 50, 1979, pp. 27-58. | Numdam | MR 556581 | Zbl 0426.58014

[7] D. Ruelle, Rotation Number for Diffeomorphisms and Flows, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 42, 1985, pp. 109-115. | Numdam | MR 794367 | Zbl 0556.58026