Complex entropy for dynamical systems

F. Delyon; P. Foulon

Annales de l'I.H.P. Physique théorique (1991)

  • Volume: 55, Issue: 4, page 891-902
  • ISSN: 0246-0211

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Delyon, F., and Foulon, P.. "Complex entropy for dynamical systems." Annales de l'I.H.P. Physique théorique 55.4 (1991): 891-902. <http://eudml.org/doc/76557>.

@article{Delyon1991,
author = {Delyon, F., Foulon, P.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {rotation number; linear symplectic transform; complex entropy; dynamical systems},
language = {eng},
number = {4},
pages = {891-902},
publisher = {Gauthier-Villars},
title = {Complex entropy for dynamical systems},
url = {http://eudml.org/doc/76557},
volume = {55},
year = {1991},
}

TY - JOUR
AU - Delyon, F.
AU - Foulon, P.
TI - Complex entropy for dynamical systems
JO - Annales de l'I.H.P. Physique théorique
PY - 1991
PB - Gauthier-Villars
VL - 55
IS - 4
SP - 891
EP - 902
LA - eng
KW - rotation number; linear symplectic transform; complex entropy; dynamical systems
UR - http://eudml.org/doc/76557
ER -

References

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  1. [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. Zbl0965.37506MR926202
  2. [2] P. Foulon, Géométrie des équations différentielles du second ordre, Ann. Inst. Henri Poincaré, 45, 1986, pp. 1-28. Zbl0624.58011MR856446
  3. [3] P. Foulon, Estimation de l'entropie des systèmes lagrangiens sans points conjugués, Preprint, 1985. 
  4. [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. Zbl0493.58001MR629682
  5. [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. Zbl0411.58016MR513656
  6. [6] D. Ruelle, Ergodic Theory of Differentiable dynamical Systems, Publ. Math. I.H.E.S., Vol. 50, 1979, pp. 27-58. Zbl0426.58014MR556581
  7. [7] D. Ruelle, Rotation Number for Diffeomorphisms and Flows, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 42, 1985, pp. 109-115. Zbl0556.58026MR794367

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