Lyapunov Exponents for Random Perturbations of Coupled Standard Maps

Author:

Blumenthal AlexORCID,Xue Jinxin,Yang Yun

Funder

Division of Mathematical Sciences

National Natural Science Foundation of China

Natural Science Foundation of Beijing Municipality

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference30 articles.

1. Barreira, L., Pesin, Y.B.: Lyapunov Exponents and Smooth Ergodic Theory, vol. 23. American Mathematical Society, Providence (2002)

2. Berger, P., Carrasco, P.: Non-uniformly hyperbolic diffeomorphisms derived from the standard map. Commun. Math. Phys. 329, 239–262 (2014)

3. Berger, P., Turaev, D.: On Herman’s positive entropy conjecture. Adv. Math. 349, 1234–1288 (2019)

4. Blumenthal, A., Xue, J.X., Young, L.S.: Lyapunov exponents for random perturbations of some area-preserving maps including the standard map. Ann. Math. 185, 285–310 (2018)

5. Boffetta, G., del Castillo-Negrete, D., López, C., Pucacco, G., Vulpiani, A.: Diffusive transport and self-consistent dynamics in coupled maps. Phys. Rev. E 67(2), 026–224 (2003)

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