Potential landscape of the Van der Pol oscillator

被引：0

作者：

Lu, Qiang ^{[1
]}

Yue, Chao ^{[1
]}

Zhang, Zhaochen ^{[1
]}

机构：

[1] Shandong First Med Univ & Shandong Acad Med Sci, Coll Med Informat Engn, Tai An, Shandong, Peoples R China

来源：

2019 11TH INTERNATIONAL CONFERENCE ON INTELLIGENT HUMAN-MACHINE SYSTEMS AND CYBERNETICS (IHMSC 2019), VOL 1 | 2019年

关键词：

Van der Pol oscillator; Limit cycle; Potential landscape; ENERGY LANDSCAPE; ROBUSTNESS;

D O I：

10.1109/IHMSC.2019.00020

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The Van der Pol system is one of the simplest forms of nonlinear oscillators and used as a model of central pattern generator for robot control. In this paper, the potential landscape is used to quantify the dynamic characteristics of the Van der Pol system. Through probability evolution for a long time using Fokker-Planck equation, the dynamic change trend of the limit cycle is shown in three- dimensional. The result shows that the change trend of the barrier height is from increase to decrease, and from increase to decrease along the limit cycle from the start point. This conclusion can explain the potential energy change of the compass-like robot.

引用

页码：51 / 54

页数：4

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