کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840091 1470507 2013 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Synchronization of solutions of Duffing-type equations with random perturbations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Synchronization of solutions of Duffing-type equations with random perturbations
چکیده انگلیسی

We consider a family of particles with different initial states and/or velocities whose dynamics is described by a Duffing-type equation ẍ+αẋ+P(x)=0 where the velocity v=ẋ is randomly perturbed at random times. We present sufficient conditions ensuring almost identical sample paths of the particles after a long time: the times between perturbations are assumed to be unbounded and uniformly positive, and the values of jumps are assumed to be random variables with positive density on a sufficiently large interval [0,H][0,H]. The paper generalizes the results of Ambrazevičius et al. (2010)  [11] for P(x)=x3−xP(x)=x3−x to the case of arbitrary higher-order odd polynomials PP.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 93, December 2013, Pages 122–131
نویسندگان
, , ,