کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
976643 933143 2007 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
From limit cycles to periodic orbits through ultradiscretisation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
From limit cycles to periodic orbits through ultradiscretisation
چکیده انگلیسی
We examine the transition between discrete and ultradiscrete (cellular-automaton-like) systems, the dynamics of which exhibit limit cycles. Motivated by results obtained previously for three-dimensional systems, we consider here a more manageable two-dimensional model. We show that one can follow the changes in dynamics of the system when a parameter that tunes the discrete-ultradiscrete transition is varied. In particular we explain the phenomenon of the splitting of a discrete limit cycle to a profusion of periodic orbits at the ultradiscrete limit.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 385, Issue 2, 15 November 2007, Pages 473-486
نویسندگان
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