Topological horseshoe analysis and the circuit implementation for a four-wing chaotic attractor

Nonlinear Dynamics

Volumn 65, Issue 1-2, 2011, Pages 131-140

  Jia, Hong Yan ^a,b   Chen, Zeng Qiang ^b   Qi, Guo Yuan ^a,c  

^a TIANJIN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b NANKAI UNIVERSITY   (China)

^c TSHWANE UNIVERSITY OF TECHNOLOGY   (South Africa)

Author keywords

Circuit implementation; Four wing chaotic attractor; Topological horseshoe

Indexed keywords

CHAOTIC ATTRACTORS; CHAOTIC CHARACTERISTICS; CIRCUIT EXPERIMENTS; CIRCUIT IMPLEMENTATION; TOPOLOGICAL HORSESHOE; TOPOLOGICAL HORSESHOES;

COMPUTER SIMULATION; TOPOLOGY;

CHAOTIC SYSTEMS;

EID: 79959524471     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-010-9879-z     Document Type: Article

References (25)

1. G.R. Chen T. Ueta 1999 Yet another chaotic attractor Int. J. Bifurc. Chaos 9 1465 1466 0962.37013 10.1142/S0218127499001024 (Pubitemid 129292251)
2. J.H. Lü G.R. Chen 2002 A new chaotic attractor coined Int. J. Bifurc. Chaos 12 659 661 1063.34510 10.1142/S0218127402004620 (Pubitemid 34862041)
3. G.Y. Qi S.Z. Du G.R. Chen Z.Q. Chen Z.Z. Yuan 2005 On a four-dimensional chaotic system Chaos Solitons Fractals 23 1671 1682 1071.37025
4. G.Y. Qi G.R. Chen S.Z. Du Z.Q. Chen Z.Z. Yuan 2005 Analysis of a new chaotic system Physica A 352 295 308 10.1016/j.physa.2004.12.040 (Pubitemid 40612606)
5. J.Z. Wang Z.Q. Chen G.R. Chen Z.Z. Yuan 2008 A novel hyperchaotic system and its complex dynamics Int. J. Bifurc. Chaos 18 3309 3324 1165.34355 10.1142/S0218127408022391
6. Y.X. Li G.R. Chen W.K.S. Tang 2005 Controlling a unified chaotic system to hyperchaotic IEEE Trans. Circuits Syst. Express Briefs 52 204 207 10.1109/TCSII.2004.842413 (Pubitemid 40589992)
7. S.M. Yu J.H. Lü G.R. Chen 2007 A family of n-scroll hyperchaotic attractors and their circuit implementation Phys. Lett. A 364 244 251 10.1016/j.physleta.2006.12.029
8. Wiggins, S.: Introduction to Applied Nonlinear Dynamical Systems and Chaos. Springer, New York (1990)
9. J. Kennedy J.A. York 2001 Topological horseshoes Trans. Am. Math. Soc. 353 2513 30 0972.37011 10.1090/S0002-9947-01-02586-7 (Pubitemid 33267452)
10. X.S. Yang Y. Tang 2004 Horseshoes in piecewise continuous maps Chaos Solitons Fractals 19 841 5 1053.37006 10.1016/S0960-0779(03)00202-9
11. X.S. Yang 2004 Metric horseshoes Chaos Solitons Fractals 20 1149 56 1048.37044 10.1016/j.chaos.2003.09.035
12. X.S. Yang Q.D. Li 2004 Existence of horseshoe in a foodweb model Int. J. Bifurc. Chaos 14 1847 1852 1129.37361 10.1142/S0218127404010060 (Pubitemid 40242145)
13. Y. Huang X.S. Yang 2005 Horseshoes in modified Chen's attractors Chaos Solitons Fractals 26 79 85 1079.37023 10.1016/j.chaos.2004.11.099 (Pubitemid 40556371)
14. X.S. Yang Y.G. Yu S.C. Zhang 2003 A new proof for existence of horseshoe in the Rossler system Chaos Solitons Fractals 18 223 227 1069.37030 10.1016/S0960-0779(02)00641-0
15. X.S. Yang Q.D. Li 2006 A computer-assisted proof of chaos in Josephson junctions Chaos Solitons Fractals 27 25 30 1083.37034 10.1016/j.chaos.2005.04. 017 (Pubitemid 40999958)
16. Q. Yuan Q.D. Li X.S. Yang 2009 Horseshoe chaos in a class of simple Hopfield neural networks Chaos Solitons Fractals 39 1522 1529 1197.37050 10.1016/j.chaos.2007.06.037
17. W.J. Wu Z.Q. Chen Z.Z. Yuan 2009 A computer-assisted proof for the existence of horseshoe in a novel chaotic system Chaos Solitons Fractals 41 2756 2761 1198.37060 10.1016/j.chaos.2008.10.008
18. Z.Q. Chen Y. Yang Z.Z. Yuan 2008 A single three-wing or four-wing chaotic attractor generated from a three-dimensional smooth quadratic autonomous system Chaos Solitons Fractals 38 1187 1196 1152.37312 10.1016/j.chaos.2007.01.058
19. G.Y. Qi G.R. Chen 2006 Analysis and circuit implementation of a new 4D chaotic system Phys. Lett. A 352 386 397 1187.37050 10.1016/j.physleta.2005.12. 030 (Pubitemid 43395317)
20. X.S. Yang Q.D. Li G.R. Chen 2003 A two-star hyperchaotic attractor and its circuit implementation Int. J. Circuit Theory Appl. 31 637 640 10.1002/cta.255
21. H.Y. Jia Z.Q. Chen Z.Z. Yuan 2009 Generation and circuit implementation of a large range hyperchaotic system Acta Phys. Sin. 58 4469 4476 1212.37027
22. Y.X. Li W.K.S. Tang G.R. Chen 2005 Hyperchaos evolved from the generalized Lorenz equation Int. J. Circuit Theory Appl. 33 235 251 1079.34032 10.1002/cta.318 (Pubitemid 41068374)
23. H.Y. Jia Z.Q. Chen Z.Z. Yuan 2010 A novel one equilibrium hyper-chaotic system generated upon Lü attractor Chin. Phys. B 19 2 020507 10.1088/1674-1056/19/12/128202
24. G.Y. Qi G.R. Chen M.A. van Wyk B.J. van Wyk Y.H. Zhang 2008 Four-wing chaotic attractor generated from a new 3D quadratic chaotic system Chaos Solitons Fractals 38 705 721 1146.37332 10.1016/j.chaos.2007.01.029 (Pubitemid 351633020)
25. G.Y. Qi B.J. van Wyk M.A. van Wyk 2009 A four-wing chaotic attractor and its analysis Chaos Solitons Fractals 40 4 2016 2030 1198.37054 10.1016/j.chaos.2007.09.095