Critical Behavior of a KAM Surface: I. Empirical Results
| Title | Critical Behavior of a KAM Surface: I. Empirical Results |
| Publication Type | Journal Article |
| Year of Publication | 1982 |
| Authors | Kadanoff, L. P., & Shenker S. J. |
| Published in | Journal of Physical Statistics |
| Volume | 27 |
| Issue | 4 |
| Page(s) | 631-656 |
| Other Numbers | 3489 |
| Abstract | Kolmogorov-Arnol'd-Moser (KAM) surfaces are studied in the context of a perturbed two-dimensional twist map. In particular, we ask how a KAM surface can disappear as the perturbation parameter is increased. Following Greene, we use cycles to numerically construct the KAM curve and discover that at the critical coupling it shows structure at all length scales. Aspects of this structure are fitted by a scaling analysis; critical indices and scaling functions are determined numerically. Some evidence is presented which suggests that the results are universal. |
| Acknowledgment | This work is supported in part by the Materials Research Laboratory Program of the National Science Foundation at the University of Chicago under grant No. NSF-MRL 7924007. |
| Bibliographic Notes | Journal of Physical Statistics, Vol. 27, Issue 4, pp. 631-656 |
| Abbreviated Authors | L. P. Kadanoff and S. Shenker |
| ICSI Research Group | Networking and Security |
| ICSI Publication Type | Article in journal or magazine |