کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
11003752 1462578 2019 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hyperbolic chaos in a system of two Froude pendulums with alternating periodic braking
ترجمه فارسی عنوان
هرج و مرج هذلولی در یک سیستم از دو آونگ فروود با ترمز متناوب دوره ای
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی
We propose a new example of a system with a hyperbolic chaotic attractor. The system is composed of two coupled Froude pendulums placed on a common shaft rotating at constant angular velocity with braking by application of frictional force to one and other pendulum turn by turn periodically. A mathematical model is formulated and its numerical study is carried out. It is shown that attractor of the Poincaré stroboscopic map in a certain range of parameters is a Smale - Williams solenoid. The hyperbolicity of the attractor is confirmed by numerical calculations analyzing the angles of intersection of stable and unstable invariant subspaces of small perturbation vectors and verifying absence of tangencies between these subspaces.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 67, February 2019, Pages 152-161
نویسندگان
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