Combinatorial dynamics
نویسندگان
چکیده
منابع مشابه
Combinatorial Dynamics
Recently Stewart, Golubitsky and coworkers have formulated a general theory of networks of coupled cells. Their approach depends on groupoids, graphs, balanced equivalence relations and ‘quotient networks’. We present a combinatorial approach to coupled cell systems. While largely equivalent to that of Stewart et al., our approach is motivated by ideas coming from analog computers and avoids ab...
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The same holds for continuous maps of the real line into itself, except that we may have P (f) = ∅. All proofs of Sharkovsky’s Theorem inevitably lead to an idea of a “type” of a cycle. For instance, when ordering the points of a cycle p1 < p2 < · · · < pn, one gets a cyclic permutation σ corresponding to it, such that pi is mapped to pσ(i). Combinatorial Dynamics deals with types of cycles (de...
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ژورنال
عنوان ژورنال: Scholarpedia
سال: 2007
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.3228