[1]姚齐国,李林,刘玉良,等.Rikitake双圆盘耦合发电机系统的动力学行为仿真与分析[J].郑州大学学报(工学版),2012,33(04):46-49.[doi:10.3969/j.issn.1671-6833.2012.04.011]
　YAO Qiguo,LI Lin,LIU Yuliang,et al.Dynamic Behavior Simulation and Analysis of the Rikitake Two·disk Dynamo System[J].Journal of Zhengzhou University (Engineering Science),2012,33(04):46-49.[doi:10.3969/j.issn.1671-6833.2012.04.011]
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Rikitake双圆盘耦合发电机系统的动力学行为仿真与分析()
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
33
期数:
2012年04期
页码:
46-49
栏目:
出版日期:
2012-07-10

文章信息/Info

Title:
Dynamic Behavior Simulation and Analysis of the Rikitake Two·disk Dynamo System
作者:
姚齐国; 李林; 刘玉良; 等.
浙江海洋学院机电工程学院,浙江舟山,316000, 浙江海洋学院机电工程学院,浙江舟山,316000, 浙江海洋学院机电工程学院,浙江舟山,316000, 浙江海洋学院机电工程学院,浙江舟山,316000
Author(s):
YAO Qiguo; LI Lin; LIU Yuliang; etcl
School of Mechanical & Electrical Engineering, Zhejiang Ocean University , Zhoushan 316000 China
关键词:
耦合发电机系统;  混沌吸引子;  动力学特性;  仿真
Keywords:
two-disk dynamo system;  chaotie attractor;  dynamic characteristie ;  simulation
分类号:
TM31
DOI:
10.3969/j.issn.1671-6833.2012.04.011
摘要:
推导出了Rikitake双圆盘耦合发电机系统的数学方程,明确了在不同参数下发电机电流与圆盘角速度的关系,计算了李雅普诺夫指数及混沌吸引子的分维数.讨论了系统的混沌分岔行为和周期窗口的性态变化及其可能出现的混沌运动形态,数值仿真得到双圆盘发电机模型在一定参数和初始状态下的混沌吸引子,并分析了系统的对称性、平衡点、功率谱及稳定性等基本动力学特性.这些特性在机电控制等方面具有重要的理论意义和实用价值,也为解释地磁场逆转问题提供新的思路.
Abstract:
The mathematical equations of the Rikitake two-disk dynamo have been derived, The relationshipbetween the dynamo currents and the angular velocity of disk has been defined. It caleulated the lyapunov ex.ponent and fractal dimension of chaotic attractor. And then this paper discussed the system’s chaotic bifurca.tion behavior and the state diversification of its periodical windows, as well might appear chaotic movementpatterns. After simulating, it obtained the Rikitake two-disk dynamo’s chaotic attractors. Moreover, it ana.lyzed the system’s basic dynamic behavior such as symmetry, power spectrum, equilibrium pots, stability andso on. These chaotic behavior can be used to simulate the reversals of the geomagnetic field. Furthermore. ithas important theory signifcance and practical value.
更新日期/Last Update: 1900-01-01