Bifurcation analysis of slow-fast behavior in modified Chua's circuit

Ji Ying; Bi Qin-Sheng

doi:10.7498/aps.61.010202

Abstract

The dynamics of four-order modified Chua's circuit with slow-fast effect has been investigated in this letter. Different types of bursting phenomena can be observed in numerical simulations. By introducing slow-fast analysis, the bifurcation mechanism for the periodic bursting solutions, especially for Fold/Fold bursting and Fold/Hopf bursting, is presented, which is different from the usual case. With the variation of the parameter, the periodic bursting can evolve to chaotic bursting.

Keywords:

Authors and contacts

1.
Faculty of Science, Jiangsu University, Zhenjiang 212013, China
Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 10972091,20976075), the National Science Foundation for College and Universities of Jiangsu Province, China (Grant No. 11KJB130001), and the Senior Foundation of Jiangsu University, China (Grant No. 11JDG065).

References

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Cited By

[1]	Maganti G B, Singh S N 2006 Chaos Solitons. Fract. 28 724
[2]	Fu S H, Pei L J 2010 Acta Phys. Sin. 59 5985 (in Chinese) [付士慧, 裴利军 2010 物理学报 59 5985]
[3]	Liu C X 2002 Acta Phys.Sin. 51 1198 (in Chinese) [刘崇新 2002 物理学报 51 1198]
[4]	Yu H J, Liu Y Z 2005 Acta Phys. Sin. 54 3029 (in Chinese) [于洪洁,刘延柱 2005 物理学报 54 3029]
[5]	Zhong G Q 1994 Int. J. Bifur. Chaos 41 934
[6]	Zhang Z X, Yu S M 2010 Acta Phys. Sin. 59 3017 (in Chinese) [张朝霞,禹思敏 2010 物理学报 59 3017]
[7]	Liu X, Wang J Z, Hang L 2006 Proceedings of the 25th Chinese Control Conference Harbin, China, August 7–11 2006 p227
[8]	Lee I, Kim S, Jun S 2004 Comput. Methods Appl. Mech. Eng. 193 1633
[9]	Ji Y, Bi Q S 2010 Chin. Phys. B 19 080510
[10]	Hug G, Wang Y, Schoneich C, Jiang P, Fessenden R 1999 Radiat. Phys. Chem. 54 559
[11]	Staddon J, Chelaru I, Higa J J 2002 Behavioural Processed 57 71
[12]	Mease K D 2005 Appl. Math. Comput. 164 627
[13]	Han X J, Jiang Bo, Bi Q S 2009 Acta Phys. Sin. 58 4408 (in Chinese) [韩修静,江波,毕勤胜 2009 物理学报 58 4408]
[14]	Ji Y, Bi Q S 2010 Phys. Lett. A 374 1434
[15]	Izhikevich E M 2000 Int. J. Bifur. Chaos 10 1171

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Catalog

Vol. 61, Issue 1 - 2012-01-05

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