|
|
Collective dynamics in a non-dissipative two-coupled pendulum system |
Chen Zi-Chen (陈子辰), Li Bo (李博), Qiu Hai-Bo (邱海波), Xi Xiao-Qiang (惠小强) |
School of Science, Xi'an University of Posts and Telecommunications, Xi'an 710061, China |
|
|
Abstract We study the collective dynamics of a non-dissipative two-coupled pendulum system, including phase synchronization (PS) and measure synchronization (MS). We find that as the coupling intensity between the two pendulums increases, the PS happens prior to the MS. We also present a three-dimensional phase space representation of MS, from which a more detailed information about evolution can be obtained. Furthermore, the order parameters are introduced to describe the phase transition between PS and MS. Finally, through the analysis of the Poincaré sections, we show that the system exhibits separatrix crossing behavior right at the MS transition point, and as the total initial energy increases, the Hamiltonian chaos will arise with separatrix chaos at the chaotic MS transition point.
|
Received: 29 August 2013
Revised: 11 October 2013
Accepted manuscript online:
|
PACS:
|
05.45.Pq
|
(Numerical simulations of chaotic systems)
|
|
05.45.Xt
|
(Synchronization; coupled oscillators)
|
|
05.70.Fh
|
(Phase transitions: general studies)
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11104217, 11174165, and 11275099). |
Corresponding Authors:
Qiu Hai-Bo
E-mail: phyqiu@gmail.com
|
About author: 05.45.Pq; 05.45.Xt; 05.70.Fh |
Cite this article:
Chen Zi-Chen (陈子辰), Li Bo (李博), Qiu Hai-Bo (邱海波), Xi Xiao-Qiang (惠小强) Collective dynamics in a non-dissipative two-coupled pendulum system 2014 Chin. Phys. B 23 050506
|
[1] |
Dlião R 2009 Chaos 19 023118
|
[2] |
Czołczyński K, Perlikowski P, Stefański A, and Kapitaniak T 2011 Int. J. Bifurcat. Chaos 21 2047
|
[3] |
Czołczyński K, Perlikowski P, Stefański A, and Kapitaniak T 2011 Chaos 21 023129
|
[4] |
Huynh H N and Chew L Y 2010 Int. J. Bifurcat. Chaos 20 2427
|
[5] |
Hampton A and Zanette D H 1999 Phys. Rev. Lett. 83 2179
|
[6] |
Chen S Y, Xu H B, Wang G R and Chen S G 2004 Acta Phys. Sin. 53 4098 (in Chinese)
|
[7] |
Wang X G, Zhan M, Lai C H and Hu G 2003 Phys. Rev. E 67 066215
|
[8] |
Wang X G, Zhang Y and Hu G 2002 Phys. Lett. A 298 383
|
[9] |
Vincent U E 2005 New J. Phys 7 209
|
[10] |
Yang Y, Wang C L, Jiang H, Chen J M and Duan W S 2012 Phys. Scr. 86 015003
|
[11] |
Zhang J R, Jiang H, Yang Y, Duan W S and Chen J M 2012 Phys. Scr. 86 065602
|
[12] |
Qiu H B, Tian J and Fu L B 2010 Phys. Rev. A 81 043613
|
[13] |
Tian J, Qiu H B, Wang G F, Chen Y and Fu L B 2013 Phys. Rev. E 88 032906
|
[14] |
Tian J, Qiu H B, Chen Z C and Chen Y 2013 Mod. Phys. Lett. B 27 1350036
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|