کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9727947 | 1480214 | 2005 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Synchronization and partial synchronization of linear maps
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We study synchronization of low-dimensional (d=2,3,4) chaotic piecewise linear maps that are coupled bidirectionally. For Bernoulli maps we find Lyapunov exponents and locate the synchronization transition, which numerically is found to be discontinuous (despite continuously vanishing Lyapunov exponent(s)). For tent maps, a limit of stability of the synchronized state is used to locate the synchronization transition that numerically is found to be continuous. For nonidentical tent maps at the partial synchronization transition, the probability distribution of the synchronization error is shown to develop highly singular behavior. We suggest that for nonidentical Bernoulli maps (and perhaps some other discontinuous maps) partial synchronization is merely a smooth crossover rather than a well-defined transition. More subtle analysis in the d=4 case locates the point where the synchronized state becomes stable. In some cases, however, a riddled basin attractor appears, and synchronized and chaotic behaviors coexist.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 347, 1 March 2005, Pages 38-50
Journal: Physica A: Statistical Mechanics and its Applications - Volume 347, 1 March 2005, Pages 38-50
نویسندگان
Adam Lipowski, Michel Droz,