کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
979603 933371 2007 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Periodic attractors of random truncator maps
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Periodic attractors of random truncator maps
چکیده انگلیسی
This paper introduces the truncator map as a dynamical system on the space of configurations of an interacting particle system. We represent the symbolic dynamics generated by this system as a non-commutative algebra and classify its periodic orbits using properties of endomorphisms of the resulting algebraic structure. A stochastic model is constructed on these endomorphisms, which leads to the classification of the distribution of periodic orbits for random truncator maps. This framework is applied to investigate the periodic transitions of Bornholdt's spin market model.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 382, Issue 1, 1 August 2007, Pages 302-310
نویسندگان
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