کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10289296 509602 2013 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Torus-doubling bifurcations and strange nonchaotic attractors in a vibro-impact system
ترجمه فارسی عنوان
بیوفیزمهای دوگانه توروز و جاذب های غریب عجیب و غریب در یک سیستم لرزه گیر
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی عمران و سازه
چکیده انگلیسی
Whether strange nonchaotic attractors (SNAs) can occur typically in dynamical systems other than quasiperiodically driven systems has been an open problem. Here we show that the SNAs can be induced by the interruption of torus-doubling bifurcation in a periodically driven vibro-impact system. It is found that the creation of SNAs occurs due to the collision of doubled torus with some unstable periodic orbits. Based on the Poincaré map technique, two types of codimension-3 bifurcations are represented and typical torus-doubling bifurcations can occur in the neighborhood of these bifurcation points. We use the singular continuous Fourier spectrum and its scaling to verify the strangeness (nondifferentiability) of the attractors. The implicitly transcendental map is used to calculate the largest Lyapunov exponent by QR-based algorithm, which ensures that the underlying dynamics (with nonpositive Lyapunov exponents) is nonchaotic. The associated mechanism is described for the creation of SNAs through detecting unstable periodic orbits from Poincaré map series.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Sound and Vibration - Volume 332, Issue 21, 14 October 2013, Pages 5462-5475
نویسندگان
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