Introducing Chaotic Circuits in Analog Systems Course

For decades, the engineering undergraduate education in the area of systems design has been mainly focused in linear models. Today, it is important for students to be exposed to chaos phenomena which exist in electrical, mechanical, biological and other systems. In this paper, we focus in electrical chaotic systems with the understanding that similar systems exist in other fields of study. We present two autonomous and two nonautonomous circuits that behave chaotically. We have selected simple circuits, such as the Colpitts oscillator, that are actually taught to students in electronics courses. Multisim is used to simulate circuits and show the presence of chaos. Complete circuits implementation and oscilloscope plots are all given. Student’s first time experience with these phenomena is discussed.

[1]  Michael Peter Kennedy Chaos in the Colpitts oscillator , 1994 .

[2]  L. Chua,et al.  The simplest dissipative nonautonomous chaotic circuit , 1994 .

[3]  Ahmed S. Elwakil,et al.  n-scroll chaos generator using nonlinear transconductor , 2002 .

[4]  Henry Leung,et al.  Experimental verification of multidirectional multiscroll chaotic attractors , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[5]  Guanrong Chen,et al.  Multifolded torus chaotic attractors: design and implementation. , 2007, Chaos.

[6]  Leon O. Chua,et al.  Simplest chaotic nonautonomous circuit , 1984 .

[7]  Guanrong Chen,et al.  Generating chaotic attractors with multiple merged basins of attraction: a switching piecewise-linear control approach , 2003 .

[8]  Guanrong Chen,et al.  Generating Multiscroll Chaotic Attractors: Theories, Methods and Applications , 2006 .

[9]  Martin Hasler,et al.  Orbits of the R-L-diode circuit , 1990 .

[10]  L. Chua,et al.  A universal circuit for studying and generating chaos. II. Strange attractors , 1993 .

[11]  Michael Peter Kennedy,et al.  Three steps to chaos. II. A Chua's circuit primer , 1993 .

[12]  D. C. Hamill Learning about chaotic circuits with SPICE , 1993 .

[13]  Henry Leung,et al.  Design and implementation of n-scroll chaotic attractors from a general jerk circuit , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[14]  K. E. Lonngren Notes to accompany a student laboratory experiment on chaos , 1991 .

[15]  L. Chua,et al.  Canonical realization of Chua's circuit family , 1990 .

[16]  C. Wu,et al.  A Universal Circuit for Studying and Generating Chaos-Part I: Routes , 1993 .