کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1897789 1044585 2008 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Forbidden ordinal patterns in higher dimensional dynamics
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Forbidden ordinal patterns in higher dimensional dynamics
چکیده انگلیسی

Forbidden ordinal patterns are ordinal patterns (or rank blocks) that cannot appear in the orbits generated by a map taking values on a linearly ordered space, in which case we say that the map has forbidden patterns. Once a map has a forbidden pattern of a given length L0L0, it has forbidden patterns of any length L≥L0L≥L0 and their number grows superexponentially with LL. Using recent results on topological permutation entropy, in this paper we study the existence and some basic properties of forbidden ordinal patterns for self-maps on nn-dimensional intervals. Our most applicable conclusion is that expansive interval maps with finite topological entropy have necessarily forbidden patterns, although we conjecture that this is also the case under more general conditions. The theoretical results are nicely illustrated for n=2n=2 both using the naive counting estimator for forbidden patterns and Chao’s estimator for the number of classes in a population. The robustness of forbidden ordinal patterns against observational white noise is also illustrated.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 237, Issue 22, 15 November 2008, Pages 2893–2899
نویسندگان
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