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A NEW PHENOMENON IN NONAUTONOMOUS CHUA'S CIRCUITS: GENERATION OF CHAOTIC BEATS

DONATO CAFAGNA

Dipartimento di Ingegneria dell'Innovazione, Università degli Studi di Lecce, Lecce, Italy

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and

GIUSEPPE GRASSI

Dipartimento di Ingegneria dell'Innovazione, Università degli Studi di Lecce, Lecce, Italy

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https://doi.org/10.1142/S0218127404010163Cited by:12 (Source: Crossref)

Abstract

This paper focuses on the dynamics of coupled Chua's circuits driven by two sinusoidal signals. In particular, it is shown that the application of signals with slightly different frequencies enables the new phenomenon of chaotic beats to be generated. Finally, the application of signals with equal frequencies is discussed, with the aim of understanding the formation of beats in nonlinear circuits.

Keywords:

References

V. C. Anishchenkoet al., Int. J. Bifurcation and Chaos 5, 1525 (1995). Link, Web of Science, Google Scholar
D. Cafagna and G. Grassi, Int. J. Bifurcation and Chaos 13, 2537 (2003). Link, Web of Science, Google Scholar
D. Cafagna and G. Grassi, Int. J. Bifurcation and Chaos 13, 2335 (2003). Link, Web of Science, Google Scholar
T. L. Carroll and L. M. Pecora, IEEE Trans. Circuits Syst.-II 40, 646 (1993), DOI: 10.1109/82.246166. Crossref, Web of Science, Google Scholar
G. Chen and T. Ueta , Chaos in Circuits and Systems ( World Scientific , Singapore , 2002 ) . Link, Google Scholar
L. O. Chua, Int. J. Circuit Th. Appl. 22, 279 (1994), DOI: 10.1002/cta.4490220404. Crossref, Web of Science, Google Scholar
G. Grassi and S. Mascolo, IEEE Trans. Circuits Syst.-II 46, 478 (1999), DOI: 10.1109/82.755422. Crossref, Web of Science, Google Scholar
G. Grassi and D. A. Miller, IEEE Trans. Circuits Syst.-I 49, 373 (2002), DOI: 10.1109/81.989174. Crossref, Web of Science, Google Scholar
K. Grygiel and P. Szlachetka, Int. J. Bifurcation and Chaos 12, 635 (2002). Link, Web of Science, Google Scholar
K. Murali and M. Lakshmanan, IEEE Trans. Circuits Syst.-I 39, 264 (1992), DOI: 10.1109/81.129454. Crossref, Web of Science, Google Scholar
K. Murali and M. Lakshmanan, IEEE Trans. Circuits Syst.-I 40, 836 (1993), DOI: 10.1109/81.251823. Crossref, Web of Science, Google Scholar
M. J. Ogorzalek , Chaos and Complexity in Nonlinear Electronic Circuits ( World Scientific , Singapore , 1997 ) . Link, Google Scholar
T. S. Parker and L. O. Chua , Practical Numerical Algorithms for Chaotic Systems ( Springer-Verlag , NY , 1989 ) . Crossref, Google Scholar
C. W. Wu, G. Q. Zhong and L. O. Chua, J. Circuits Syst. Comput. 6, 227 (1996). Link, Web of Science, Google Scholar
C. R. Wylie , Differential Equations ( McGraw-Hill , NY , 1979 ) . Google Scholar