کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
755874 896077 2013 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Parametric generation of robust chaos with time-delayed feedback and modulated pump source
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Parametric generation of robust chaos with time-delayed feedback and modulated pump source
چکیده انگلیسی

We consider a chaos generator composed of two parametrically coupled oscillators whose natural frequencies differ by factor of two. The system is driven by modulated pump source on the third harmonic of the basic frequency, and on each next period of pumping the excitation of the oscillator of doubled frequency is stimulated by the signal from the oscillator of the basic frequency undergoing quadratic nonlinear transformation and time delay. Using qualitative analysis and numerical results, we argue that chaotic dynamics in the system corresponds to hyperbolic strange attractor. It is a kind of Smale–Williams solenoid embedded in the infinite-dimensional state space of the stroboscopic map of the time-delayed system.


► We propose a scheme of parametric generator of robust chaos.
► Qualitative analysis and numerical simulation data are provided.
► We argue that in the system the hyperbolic attractor of Smale–Williams occurs.
► Advantage is structural stability, insensitivity to parameter variations or noise.
► The scheme may be implemented as electronic or optical device.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 18, Issue 3, March 2013, Pages 728–734
نویسندگان
, ,