Chaos in a Twin-T Circuit

This letter examines a driven nonlinear circuit that generates chaotic signals. The circuit is very simple, requiring just one op-amp stage. Only off-the-shelf components are required to construct the circuit. The circuit must be driven by a low frequency input-signal. The shape and frequency of the signal affect the behavior of the chaotic waveforms. A variety of unusually folded attractors have been observed from the computer simulation and practical circuit.

[1]  L. Chua,et al.  Experimental confirmation of the period-adding route to chaos in a nonlinear circuit , 1986 .

[2]  E. Vasile,et al.  Behaviour study of a Wien-bridge chaotic oscillator , 2000, 2000 International Semiconductor Conference. 23rd Edition. CAS 2000 Proceedings (Cat. No.00TH8486).

[3]  Estimating the strength of chaos from the power spectrum , 1987 .

[4]  Ahmed S. Elwakil,et al.  Chaos from a family of minimum-component oscillators , 1997 .

[5]  A. Tamasevicius,et al.  Modified Wien-bridge oscillator for chaos , 1995 .

[6]  L. Premalatha,et al.  Spectral Analysis of DC-DC Buck Converter with Chaotic Dynamics , 2005, 2005 Annual IEEE India Conference - Indicon.

[7]  K. Kaneko On the Period-Adding Phenomena at the Frequency Locking in a One-Dimensional Mapping , 1982 .

[8]  Leon O. Chua,et al.  Van der Pol and chaos , 1986 .

[9]  V. Sridhar,et al.  Signature of chaos in power spectrum , 1997 .

[10]  Ahmed S. Elwakil,et al.  Mathematical Models of the Twin-T, Wien-bridgeand Family of Minimum Component Electronic ChaosGenerators with Demonstrative Recurrence Plots , 1999 .

[11]  Ahmed S. Elwakil,et al.  New chaos generators , 1997 .

[12]  Richard L. Kautz,et al.  Chaos in Josephson circuits , 1983 .

[13]  Ahmed S. Elwakil,et al.  Two Twin-T based op amp oscillators modified for chaos , 1998 .

[14]  Z. Suto,et al.  Period adding route to chaos in a hysteresis current controlled AC drive , 2000, 6th International Workshop on Advanced Motion Control. Proceedings (Cat. No.00TH8494).