Please wait a minute...
Chin. Phys. B, 2009, Vol. 18(5): 01792    DOI: 10.1088/1674-1056/18/5/013
GENERAL Prev   Next  

Circuit implementation and multiform intermittency in ahyper-chaotic model extended from Lorenz system

ChenZeng-Qianga, Wu Wen-Juana, Cang Shi-Jianb
a Department of Automation, Nankai University, Tianjin 300071, China; b Department of Industry Design, Tianjin University of Science and Technology, Tianjin 300222, China;Department of Automation, Nankai University, Tianjin 300071, China
Abstract  This paper presents a non-autonomous hyper-chaotic system, which is formed by adding a periodic driving signal to a four-dimensional chaotic model extended from the Lorenz system. The resulting non-autonomous hyper-chaotic system can display any dynamic behaviour among the periodic orbits, intermittency, chaos and hyper-chaos by controlling the frequency of the periodic signal. The phenomenon has been well demonstrated by numerical simulations, bifurcation analysis and electronic circuit realization. Moreover, the system is concrete evidence for the presence of Pomeau--Manneville Type-I intermittency and crisis-induced intermittency. The emergence of a different type of intermittency is similarly subjected to the frequency of periodic forcing. By statistical analysis, power scaling laws consisting in different intermittency are obtained for the lifetime in the laminar state between burst states.
Keywords:  chaos      circuit implementation      type-I intermittency      crisis-induced intermittency  
Received:  25 August 2008      Revised:  26 November 2008      Published:  20 May 2009
PACS:  84.30.-r (Electronic circuits)  
  05.45.Jn (High-dimensional chaos)  
Fund: Project supported in part by the National Natural Science Foundation of China (Grant Nos 60774088 and 10772135), the Program for New Century Excellent Talents in University of China (NCET), the Foundation of the Application Base and Frontier Technology R

Cite this article: 

Cang Shi-Jian, ChenZeng-Qiang, Wu Wen-Juan Circuit implementation and multiform intermittency in ahyper-chaotic model extended from Lorenz system 2009 Chin. Phys. B 18 01792

[1] Quantum to classical transition induced by a classically small influence
Wen-Lei Zhao(赵文垒), Quanlin Jie(揭泉林). Chin. Phys. B, 2020, 29(8): 080302.
[2] Hidden attractors in a new fractional-order discrete system: Chaos, complexity, entropy, and control
Adel Ouannas, Amina Aicha Khennaoui, Shaher Momani, Viet-Thanh Pham, Reyad El-Khazali. Chin. Phys. B, 2020, 29(5): 050504.
[3] Bifurcation and chaos characteristics of hysteresis vibration system of giant magnetostrictive actuator
Hong-Bo Yan(闫洪波), Hong Gao(高鸿), Gao-Wei Yang(杨高炜), Hong-Bo Hao(郝宏波), Yu Niu(牛禹), Pei Liu(刘霈). Chin. Phys. B, 2020, 29(2): 020504.
[4] Chaotic dynamics of complex trajectory and its quantum signature
Wen-Lei Zhao(赵文垒), Pengkai Gong(巩膨恺), Jiaozi Wang(王骄子), and Qian Wang(王骞). Chin. Phys. B, 2020, 29(12): 120302.
[5] Nonlinear dynamics in non-volatile locally-active memristor for periodic and chaotic oscillations
Wen-Yu Gu(谷文玉), Guang-Yi Wang(王光义), Yu-Jiao Dong(董玉姣), Jia-Jie Ying(应佳捷). Chin. Phys. B, 2020, 29(11): 110503.
[6] Novel two-directional grid multi-scroll chaotic attractors based on the Jerk system
Peng-Fei Ding(丁鹏飞), Xiao-Yi Feng(冯晓毅), Cheng-Mao Wu(吴成茂). Chin. Phys. B, 2020, 29(10): 108202.
[7] Chaotic analysis of Atangana-Baleanu derivative fractional order Willis aneurysm system
Fei Gao(高飞), Wen-Qin Li(李文琴), Heng-Qing Tong(童恒庆), Xi-Ling Li(李喜玲). Chin. Phys. B, 2019, 28(9): 090501.
[8] Dynamical stable-jump-stable-jump picture in a non-periodically driven quantum relativistic kicked rotor system
Hsincheng Yu(于心澄), Zhongzhou Ren(任中洲), Xin Zhang(张欣). Chin. Phys. B, 2019, 28(2): 020504.
[9] Design new chaotic maps based on dimension expansion
Abdulaziz O A Alamodi, Kehui Sun(孙克辉), Wei Ai(艾维), Chen Chen(陈晨), Dong Peng(彭冬). Chin. Phys. B, 2019, 28(2): 020503.
[10] Enhancing von Neumann entropy by chaos in spin-orbit entanglement
Chen-Rong Liu(刘郴荣), Pei Yu(喻佩), Xian-Zhang Chen(陈宪章), Hong-Ya Xu(徐洪亚), Liang Huang(黄亮), Ying-Cheng Lai(来颖诚). Chin. Phys. B, 2019, 28(10): 100501.
[11] Experimental investigation of the fluctuations in nonchaotic scattering in microwave billiards
Runzu Zhang(张润祖), Weihua Zhang(张为华), Barbara Dietz, Guozhi Chai(柴国志), Liang Huang(黄亮). Chin. Phys. B, 2019, 28(10): 100502.
[12] Dynamic characteristics in an external-cavity multi-quantum-well laser
Sen-Lin Yan(颜森林). Chin. Phys. B, 2018, 27(6): 060501.
[13] A new four-dimensional chaotic system with first Lyapunov exponent of about 22, hyperbolic curve and circular paraboloid types of equilibria and its switching synchronization by an adaptive global integral sliding mode control
Jay Prakash Singh, Binoy Krishna Roy, Zhouchao Wei(魏周超). Chin. Phys. B, 2018, 27(4): 040503.
[14] Solitary wave for a nonintegrable discrete nonlinear Schrödinger equation in nonlinear optical waveguide arrays
Li-Yuan Ma(马立媛), Jia-Liang Ji(季佳梁), Zong-Wei Xu(徐宗玮), Zuo-Nong Zhu(朱佐农). Chin. Phys. B, 2018, 27(3): 030201.
[15] Image encryption technique based on new two-dimensional fractional-order discrete chaotic map and Menezes-Vanstone elliptic curve cryptosystem
Zeyu Liu(刘泽宇), Tiecheng Xia(夏铁成), Jinbo Wang(王金波). Chin. Phys. B, 2018, 27(3): 030502.
No Suggested Reading articles found!