کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1895309 1534007 2015 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multistability and hidden attractors in a relay system with hysteresis
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Multistability and hidden attractors in a relay system with hysteresis
چکیده انگلیسی


• Detailed bifurcation analysis for a relay control system with hysteresis.
• Demonstration of coexisting families of “hidden attractors”.
• Identification of typical bifurcations leading to the birth of “hidden attractors”.

For nonlinear dynamic systems with switching control, the concept of a “hidden attractor” naturally applies to a stable dynamic state that either (1) coexists with the stable switching cycle or (2), if the switching cycle is unstable, has a basin of attraction that does not intersect with the neighborhood of that cycle. We show how the equilibrium point of a relay system disappears in a boundary-equilibrium bifurcation as the system enters the region of autonomous switching dynamics and demonstrate experimentally how a relay system can exhibit large amplitude chaotic oscillations at high values of the supply voltage. By investigating a four-dimensional model of the experimental relay system we finally show how a variety of hidden periodic, quasiperiodic and chaotic attractors arise, transform and disappear through different bifurcations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 306, 15 June 2015, Pages 6–15
نویسندگان
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