کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
758419 | 896431 | 2013 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Statistics of Poincaré recurrences in local and global approaches
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
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چکیده انگلیسی
The basic statistical characteristics of the Poincaré recurrence sequence are obtained numerically for the logistic map in the chaotic regime. The mean values, variance and recurrence distribution density are calculated and their dependence on the return region size is analyzed. It is verified that the Afraimovich-Pesin dimension may be evaluated by the Kolmogorov-Sinai entropy. The peculiarities of the influence of noise on the recurrence statistics are studied in local and global approaches. It is shown that the obtained numerical data are in complete agreement with the theoretical results. It is demonstrated that the Poincaré recurrence theory can be applied to diagnose effects of stochastic resonance and chaos synchronization and to calculate the fractal dimension of a chaotic attractor.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 18, Issue 12, December 2013, Pages 3423-3435
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 18, Issue 12, December 2013, Pages 3423-3435
نویسندگان
Vadim S. Anishchenko, Sergey V. Astakhov, Yaroslav I. Boev, Nadezhda I. Biryukova, Galina I. Strelkova,