[1]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]
Copy
Journal of Zhengzhou University (Engineering Science)[ISSN
1671-6833/CN
41-1339/T] Volume:
33
Number of periods:
2012 04
Page number:
46-49
Column:
Public date:
2012-07-10
- Title:
-
Dynamic Behavior Simulation and Analysis of the Rikitake Two·disk Dynamo System
- Author(s):
-
YAO Qiguo; LI Lin; LIU Yuliang; etcl
-
School of Mechanical & Electrical Engineering, Zhejiang Ocean University , Zhoushan 316000 China
-
- Keywords:
-
two-disk dynamo system; chaotie attractor; dynamic characteristie ; simulation
- CLC:
-
TM31
- DOI:
-
10.3969/j.issn.1671-6833.2012.04.011
- 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.