کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10414277 | 896427 | 2014 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On two-parameter bifurcation analysis of switched system composed of Duffing and van der Pol oscillators
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On two-parameter bifurcation analysis of switched system composed of Duffing and van der Pol oscillators On two-parameter bifurcation analysis of switched system composed of Duffing and van der Pol oscillators](/preview/png/10414277.png)
چکیده انگلیسی
The behaviors of system which alternate between Duffing oscillator and van der Pol oscillator are investigated to explore the influence of the switches on dynamical evolutions of system. Switches related to the state and time are introduced, upon which a typical switched model is established. Poincaré map of the whole switched system is defined by suitable local sections and local maps, and the formal expression of its Jacobian matrix is obtained. The location of the fixed point and associated Floquet multipliers are calculated, based on which two-parameter bifurcation sets of the switched system are obtained, dividing the parameter space into several regions corresponding to different types of attractors. It is found that cascading of period-doubling bifurcations may lead the system to chaos, while fold bifurcations determine the transition between period-3 solution and chaotic movement.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 19, Issue 3, March 2014, Pages 750-757
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 19, Issue 3, March 2014, Pages 750-757
نویسندگان
Chun Zhang, Qinsheng Bi, Xiujing Han, Zhengdi Zhang,