کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610673 1338578 2013 41 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Heteroclinic chaotic behavior driven by a Brownian motion
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Heteroclinic chaotic behavior driven by a Brownian motion
چکیده انگلیسی

In this paper we study the chaotic behavior of a planar ordinary differential system with a heteroclinic loop driven by a Brownian motion, an unbounded random forcing. Unlike the case of homoclinic loops, two random Melnikov functions are needed in order to investigate the intersection of stable segments of one saddle and unstable segments of the other saddle. We prove that for almost all paths of the Brownian motion the forced system admits a topological horseshoe of infinitely many branches. We apply this result to the Josephson junction and the soft spring Duffing oscillator.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 255, Issue 11, 1 December 2013, Pages 4185–4225
نویسندگان
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