2014/10/28 by Or Alus, Alus, Or, Shmuel Fishman +3 · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Geology and Paleoclimatology Research #nlin.CD
paper · pdf · doi:10.48550/arxiv.1410.7648
This manuscript is now contained in a new manuscript arXiv:1512.04723
openalex publication_date 2014/10/28 · arxiv created 2015/12/17 · arxiv updated 2015/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The phase space of an area-preserving map typically contains infinitely many elliptic islands embedded in a chaotic sea. Orbits near the boundary of a chaotic region have been observed to stick for long times, strongly influencing their transport properties. The boundary is composed of invariant circles, called "Boundary circles." We investigate the distribution of rotation numbers of boundary circles for the Henon quadratic map and show that the probability of occurrence of small elements of their continued fraction expansions is larger than would be expected for a number chosen at random. However, large elements occur with probabilities distributed proportionally to the random case. These results have implications for models of transport in mixed phase space.