کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8254080 1533618 2018 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A hidden chaotic attractor in the classical Lorenz system
ترجمه فارسی عنوان
جذاب ناشناخته هرج و مرج در سیستم کلاسیک لورنز
کلمات کلیدی
سیستم غیرخطی آشوب، سیستم لورنس، خود جذب جذب، جذاب مخفی
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک آماری و غیرخطی
چکیده انگلیسی
Chaotic attractors in the classical Lorenz system have long been known as self-excited attractors. This paper, for the first time, reveals a novel hidden chaotic attractor in the classical Lorenz system. Either a self-excited or a hidden chaotic attractor is now possible in the classical Lorenz system depending on values of both system parameters and initial conditions. A systematically exhaustive computer search is employed to directly search for the hidden chaotic attractor with elegant values of both system parameters and initial conditions. Time series of trajectories, Lyapunov exponents, and bifurcations of the hidden chaotic attractor are reported. Basins of attraction of individual equilibria are depicted to verify that the hidden chaotic attractor is found. Dynamic regions of attractors are illustrated to reveal seamless connections between self-excited and hidden chaotic attractors in the classical Lorenz system with wide ranges of parameters.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 107, February 2018, Pages 61-66
نویسندگان
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