Oscillations and hysteresis: from simple harmonic oscillator and unusual unbounded increasing amplitude phenomena to the van der Pol oscillator and chaos control

被引：0
|
作者：
Semenov, Mikhail E. [1 ,2 ,3 ,4 ]
Reshetova, Olga O. [1 ]
Meleshenko, Peter A. [1 ,5 ]
Klinskikh, Alexander F. [6 ]
机构：
[1] Voronezh State Univ, Digital Technol Dept, Voronezh, Russia
[2] Voronezh State Univ, Math Dept, Voronezh, Russia
[3] Russia Acad Sci, Geophys Survey, Obninsk, Russia
[4] Zhukovsky Gagarin Air Force Acad, Meteorol Dept, Voronezh, Russia
[5] Adv Res Fdn, Target Search Lab Groundbreaking Radio Commun Tec, Voronezh, Russia
[6] Voronezh State Univ, Gen Phys Dept, Voronezh, Russia
来源：
INTERNATIONAL JOURNAL OF ENGINEERING SYSTEMS MODELLING AND SIMULATION | 2020年 / 11卷 / 04期
关键词：
hysteresis; Bouc-Wen model; van der Pol oscillator; regular and chaotic dynamics; synchronisation; MODEL; VIBRATION; SYSTEMS;
D O I：
10.1504/IJESMS.2020.111274
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this work we investigate various oscillating systems under hysteretic action. For a simple harmonic oscillator under hysteretic force an unusual unbounded increasing amplitude phenomena (growing rate for the amplitude is proportional to square root of time) are obtained and discussed. For a system of coupled van der Pol oscillators (taking into account the hysteretic coupling) we investigate various dynamic regimes (both regular and chaotic) and show that the hysteresis in the link between two van der Pol oscillators may serve as an effective mechanism for chaos control. Also we consider the effect of hysteresis on synchronisation processes in this system.
引用
收藏
页码：147 / 159
页数：13
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