Non-Uniformly Hyperbolic Diffeomorphisms Derived from the Standard Map

Journal article

Pierre Berger, Pablo D. Carrasco
Communications in Mathematical Physics, vol. 329(1), 2014, pp. 239-262

DOI: 10.1007/s00220-014-1932-1

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APA Click to copy
Berger, P., & Carrasco, P. D. (2014). Non-Uniformly Hyperbolic Diffeomorphisms Derived from the Standard Map. Communications in Mathematical Physics, 329(1), 239–262. https://doi.org/10.1007/s00220-014-1932-1

Chicago/Turabian Click to copy
Berger, Pierre, and Pablo D. Carrasco. “Non-Uniformly Hyperbolic Diffeomorphisms Derived from the Standard Map.” Communications in Mathematical Physics 329, no. 1 (2014): 239–262.

MLA Click to copy
Berger, Pierre, and Pablo D. Carrasco. “Non-Uniformly Hyperbolic Diffeomorphisms Derived from the Standard Map.” Communications in Mathematical Physics, vol. 329, no. 1, 2014, pp. 239–62, doi:10.1007/s00220-014-1932-1.

BibTeX Click to copy

@article{berger2014a,
  title = {Non-Uniformly Hyperbolic Diffeomorphisms Derived from the Standard Map},
  year = {2014},
  issue = {1},
  journal = {Communications in Mathematical Physics},
  pages = {239-262},
  volume = {329},
  doi = {10.1007/s00220-014-1932-1},
  author = {Berger, Pierre and Carrasco, Pablo D.}
}

We prove that the system resulting of coupling the standard map with a fast hyperbolic system is robustly non-uniformly hyperbolic.