کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1892546 1043987 2006 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Effect of random noise on chaotic motion of a particle in a ϕ6 potential
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک آماری و غیرخطی
پیش نمایش صفحه اول مقاله
Effect of random noise on chaotic motion of a particle in a ϕ6 potential
چکیده انگلیسی

The chaotic behaviors of a particle in a triple well ϕ6 potential possessing both homoclinic and heteroclinic orbits under harmonic and Gaussian white noise excitations are discussed in detail. Following Melnikov theory, conditions for the existence of transverse intersection on the surface of homoclinic or heteroclinic orbits for triple potential well case are derived, which are complemented by the numerical simulations from which we show the bifurcation surfaces and the fractality of the basins of attraction. The results reveal that the threshold amplitude of harmonic excitation for onset of chaos will move downwards as the noise intensity increases, which is further verified by the top Lyapunov exponents of the original system. Thus the larger the noise intensity results in the more possible chaotic domain in parameter space. The effect of noise on Poincare maps is also investigated.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 27, Issue 1, January 2006, Pages 127–138
نویسندگان
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