کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10414081 896069 2014 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bursting mechanism in a time-delayed oscillator with slowly varying external forcing
ترجمه فارسی عنوان
مکانیسم انفجار در یک نوسانگر با تأخیر زمانی با تحرک خارجی به آرامی متفاوت است
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی
This paper investigates the generation of complex bursting patterns in the Duffing oscillator with time-delayed feedback. We present the bursting patterns, including symmetric fold-fold bursting and symmetric Hopf-Hopf bursting when periodic forcing changes slowly. We make an analysis of the system bifurcations and dynamics as a function of the delayed feedback and the periodic forcing. We calculate the conditions of fold bifurcation and Hopf bifurcation as well as its stability related to external forcing and delay. We also identify two regimes of bursting depending on the magnitude of the delay itself and the strength of time delayed coupling in the model. Our results show that the dynamics of bursters in delayed system are quite different from those in systems without any delay. In particular, delay can be used as a tuning parameter to modulate dynamics of bursting corresponding to the different type. Furthermore, we use transformed phase space analysis to explore the evolution details of the delayed bursting behavior. Also some numerical simulations are included to illustrate the validity of our study.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 19, Issue 4, April 2014, Pages 1175-1184
نویسندگان
, , , ,