Theoretical and experimental time series analysis of an inductorless Chua's circuit

Physica D: Nonlinear Phenomena

Volumn 233, Issue 1, 2007, Pages 66-72

  Albuquerque, Holokx A ^a   Rubinger, Rero M ^b   Rech, Paulo C ^a  

^a SANTA CATARINA STATE UNIVERSITY   (Brazil)

^b FEDERAL UNIVERSITY OF ITAJUBÁ   (Brazil)

Author keywords

Inductorless Chua's circuit; Lyapunov exponents; Numerical simulations; Time series

Indexed keywords

COMPUTER SIMULATION; ELECTRIC INDUCTORS; LYAPUNOV FUNCTIONS; NUMERICAL METHODS; PHASE DIAGRAMS; TIME SERIES ANALYSIS;

INDUCTORLESS CHUA'S CIRCUIT; INTERNAL RESISTANCE; KAPLAN-YORKE DIMENSION;

NETWORKS (CIRCUITS);

EID: 34547594170     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2007.06.018     Document Type: Article

References (20)

1. Chua L.O. Chua circuit ten years later. IEICE Trans. Electron. E77A (1994) 1811-1822
2. Jiang G.P., Tang W.K.S., and Chen G.A. Simple global synchronization criterion for coupled chaotic systems. Chaos Solitons Fractals 15 (2003) 925-935
3. Zhang J., Li C., Zhang H., and Yu J. Chaos synchronization using single variable feedback based on backstepping method. Chaos Solitons Fractals 21 (2004) 1183-1193
4. Yassen M.T. Adaptive control and synchronization of a modified Chuas circuit system. Appl. Math. Comput. 135 (2003) 113-128
5. Wu T., and Min-Shin C. Chaos control of the modified Chuas circuit system. Physica D 164 (2002) 53-58
6. Hwang C.C., Chow H.Y., and Wang Y.K. A new feedback control of a modified Chuas circuit system. Physica D 92 (1996) 95-100
7. Li K., Soh Y.C., and Li Z.G. Chaotic cryptosystem with high sensitivity to parameter mismatch. IEEE Trans. Circuits Syst. I 50 (2003) 579-583
8. Li Z.G., Wen C., and Soh Y.C. A new chaotic secure communication system. IEEE Trans. Commun. 51 (2003) 1306-1312
9. dos Santos E.P., Baptista M.S., and Caldas I.L. Dealing with final state sensitivity for synchronous communication. Physica A 308 (2002) 101-112
10. Chua L.O. Chua circuit - an overview 10 years later. J. Circuits Syst. Comput. 4 (1994) 117-159
11. Tôrres L.A., and Aguirre L.A. Inductorless Chua's circuit. Electron. Lett. 36 (2000) 1915-1916
12. Shilnikov L.P. Chua's circuit: Rigorous results and future problems. IEEE Trans. Circuits Syst. I 40 (1993) 784-786
13. Medrano-T R.O., Baptista M.S., and Caldas I.L. Homoclinic orbits in a piecewise system and their relation with invariant sets. Physica D 186 (2003) 133-147
14. Hegger R., Kantz H., and Schreiber T. Practical implementation of nonlinear time series methods: The TISEAN package. Chaos 9 (1999) 413-435
15. Kantz H., and Schreiber T. Nonlinear Time Series Analysis (1997), Cambridge University Press, Cambridge
16. Fraser A.M., and Swinney H.L. Independent coordinates for strange attractors from mutual information. Phys. Rev. A 33 (1986) 1134-1140
17. Kennel M.B., Brown R., and Abarbanel H.D.I. Determining embedding dimension for phase-space reconstruction using a geometrical construction. Phys. Rev. A 45 (1992) 3403-3411
18. Sano M., and Sawada Y. Measurement of the Lyapunov spectrum from a chaotic time-series. Phys. Rev. Lett. 55 (1985) 1082-1085
19. Kaplan J., and Yorke J. Chaotic behavior of multidimensional difference equations. In: Peitgen H.O., and Walther H.O. (Eds). Functional Differential Equations and Approximation of Fixed Points (1987), Springer-Verlag, New York
20. Chlouverakis K.E., and Sprott J.C. A comparison of correlation and Lyapunov dimensions. Physica D 200 (2005) 156-164