Chin. Phys. Lett.  2010, Vol. 27 Issue (6): 060503    DOI: 10.1088/0256-307X/27/6/060503
GENERAL |
Spiking Behavior in Chua's Circuit

JI Ying, BI Qin-Sheng

Faculty of Science, Jiangsu University, Zhenjiang 212013
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JI Ying, BI Qin-Sheng 2010 Chin. Phys. Lett. 27 060503
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Abstract

Chua's circuit with a slow-fast effect is established under certain parameter conditions. The dynamics of this slow-fast system is investigated. A spiking phenomenon can be observed in the numerical simulation. By introducing slow-fast analysis and a generalized Jacobian matrix at the non-smooth boundaries, the bifurcation mechanism for the periodic spiking solution, different from the smooth case, is discussed.

Keywords: 05.45.Ac      05.45.Pq     
Received: 19 November 2009      Published: 25 May 2010
PACS:  05.45.Ac (Low-dimensional chaos)  
  05.45.Pq (Numerical simulations of chaotic systems)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/27/6/060503       OR      https://cpl.iphy.ac.cn/Y2010/V27/I6/060503
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Articles by authors
JI Ying
BI Qin-Sheng
[1] Sparrow C 1982 The Lorenz Equations: Bifurcation, Chaos and Strange Attractor (New York: Springer)
[2] Rossler O E 1976 Phys. Lett. A 57 397
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[5] Suykens J A K, Huang A and Chua L O 1997 Achivfur Elektronik und Ubertragungstechnik 51 131
[6] Izhikevich E M 2000 Int. J. Bifur. Chaos 6 1171
[7] Ji Y and Bi Q S 2010 Phys. Lett. A 374 1434
[8] Lin W and He Y B 2005 Chaos 15 023705
[9] Leine R I and Campen D H 2006 European J. Mechanics A/Solids 25 595
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