Coarse-grained entropy in dynamical systems-Reference-Cited by-同舟云学术

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Coarse-grained entropy in dynamical systems

Published:2010-08-06 Issue:4-5 Volume:15 Page:575-597
ISSN:1560-3547
Container-title:Regular and Chaotic Dynamics
language:en
Short-container-title:Regul. Chaot. Dyn.

Author:

Piftankin G.,Treschev D.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Link

http://link.springer.com/content/pdf/10.1134/S156035471004012X.pdf

Reference10 articles.

1. Aubry, S., The Twist Map, the Extended Frenkel-Kontorova Model and the Devil’s Staircase, Physica D, vol. 7, 1983, pp. 240–258.

2. Greene, J.M., A Method for Determining a Stochastic Transition, J. Math. Phys., 1979, vol. 20, pp. 1183–1201.

3. Guysinsky, M., Hasselblatt, B., and Rayskin, V., Differentiability of the Hartman-Grobman Linearization, Discrete Contin. Dyn. Syst. 2003, vol. 9, pp. 979–984.

4. MacKay, R.S. and Percival, I.C., Converse KAM: Theory and Practice, Commun. Math. Phys., 1985, vol. 98, pp. 469–512.

5. Kozlov, V.V. and Treschev, D.V., Weak Convergence of Solutions of the Liouville Equation for Nonlinear Hamiltonian Systems, Teoret. Mat. Fiz., 2003, vol. 134, no. 3, pp. 388–400 [Theoret. and Math. Phys., 2003, vol. 134, no. 3, pp. 339–350].

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1. Approximations of Nonlinear Integral Functionals of Entropy Type;Proceedings of the Steklov Institute of Mathematics;2020-09

2. Differentiability of the conjugacy in the Hartman-Grobman Theorem;Transactions of the American Mathematical Society;2017-02-13

3. Coarsening in ergodic theory;Russian Journal of Mathematical Physics;2015-04

4. Entropy of random chaotic interval map with noise which causes coarse-graining;Journal of Mathematical Analysis and Applications;2014-06

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