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首页> 外文期刊>Mathematical Problems in Engineering >MODELING, CHAOTIC BEHAVIOR, AND CONTROL OF DISSIPATION PROPERTIES OF HYSTERETIC SYSTEMS
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MODELING, CHAOTIC BEHAVIOR, AND CONTROL OF DISSIPATION PROPERTIES OF HYSTERETIC SYSTEMS

机译：迟滞系统的建模，混沌行为及其耗散特性的控制

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In the present work, hysteresis is simulated by means of internal variables. Analytical models of different types of hysteresis loops enable reproduction of major and minor loops and provide good agreement with experimental data. Using an effective algorithm based on the analysis of wandering trajectories, an evolution of chaotic behavior regions of oscillators with hysteresis is presented in various parametric planes. A substantial influence of a hysteretic dissipation value on the form and location of these regions and also restraining and generating effects of the hysteretic dissipation on chaos occurrence are shown. It was demonstrated that for fixed parameters, which govern the shape of a hysteresis loop, the extent of pinch of this loop could be controlled by means of the amplitude and frequency of external periodic excitation.
机译：在当前工作中，通过内部变量模拟磁滞。不同类型的磁滞回线的分析模型可以重现主回路和次回路，并与实验数据保持良好的一致性。利用基于漂移轨迹分析的有效算法，在各种参数平面上，给出了具有滞后现象的振荡器混沌行为区域的演化。示出了磁滞耗散值对这些区域的形式和位置的实质影响，以及磁滞耗散对混沌发生的抑制和产生作用。结果表明，对于控制磁滞回线形状的固定参数，可以通过外部周期性激励的幅度和频率来控制该回线的收缩程度。

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