Bifurcation analysis of a PWL chaotic circuit based on hysteresis through a one-dimensional map

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 11, Issue 7, 2001, Pages 1911-1927

  Bizzarri, Federico ^a   Storace, Marco ^a   Gardini, Laura ^b   Lupini, Renzo ^c  

^a UNIVERSITY OF GENOA   (Italy)

^b UNIVERSITY OF URBINO   (Italy)

^c UNIVERSITÀ POLITECNICA DELLE MARCHE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035618030     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127401003085     Document Type: Article

References (10)

1. Alligood, K. T. & Sauer, T. D. [1997] Chaos: An Introduction to Dynamical Systems (Springer-Verlag, NY).
2. Kennedy, M. P. & Chua, L. O. [1991] "Hysteresis in electronic circuits: A circuit theorist's perspective," Int. J. Circuit Th. Appl. 19, 471-515.
3. Lupini, R., Bizzarri, M. & Storace, M. [2001] "Discontinuities in a one-dimensional map describing a hysteretic chaotic circuit," Nonlinear Analysis - Theory, Methods & Applications, to be published.
4. Mira, C., Gardini, L., Barugola, A. & Catala, J. C. [1996] Chaotic Dynamics in Two-Dimensional Noninvertible Maps (World Scientific, Singapore).
5. Nakagawa, S. & Saito, T. [1996] "An RC OTA hysteresis chaos generator," IEEE Trans. Circuits Syst. 43, 1019-1021.
6. Parodi, M., Storace, M. & Cincotti, S. [1994] "A PWL ladder circuit which exhibits hysteresis," Int. J. Circuit Th. Appl. 22, 513-526.
7. Parodi, M., Storace, M. & Cincotti, S. [1996] "Static and dynamic hysteretic features in a PWL circuit," Int. J. Circuit Th. Appl. 24, 183-199.
8. Storace, M. & Parodi, M. [1998] "Simple realisation of hysteresis chaos generator," Electron. Lett. 34, 10-11.
9. Storace, M., Parodi, M. & Robatto, D. [1999] "A hysteresis-based chaotic circuit: Dynamics and applications," Special Issue: Communications, Information Processing and Control Using Chaos, Int. J. Circuit Th. Appl., eds. Hasler, M. & Vandewalle, J. 27, 527-542.
10. Strogatz, S. H. [1994] Nonlinear Dynamics and Chaos (Addison-Wesley, Reading-MA).