Application of hyperbolic dynamics to physics: Some problems and conjectures
- 13 April 2004
- journal article
- Published by American Mathematical Society (AMS) in Bulletin of the American Mathematical Society
- Vol. 41 (3) , 275-278
- https://doi.org/10.1090/s0273-0979-04-01023-7
Abstract
The long time behavior of smooth dynamical systems is, in good cases, given by an SRB measure . The measure is expected often to have very discontinuous dependence on parameters of the dynamical system. This is a very unsatisfactory situation for physical applications, where one would like to differentiate with respect to parameters. Here we propose a solution to this difficulty, based on analytic continuation in a frequency variable .Keywords
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