Ever since the release of the film Jurassic Park, chaos has become a trendy mathematical concept, but while many students are able to explain the Butterfly Effect, most do not delve more deeply into the subject.  LRC circuits exhibit this phenomenon under certain circumstances and provide a relatively simple way to examine a pretty tangible version of chaos.  

    When the LRC circuit is put into it's resonance condition and the input voltage varied, the output can be chaotic, meaning that the input gives no hint at what the output will look like.  For example, if the input of a system is periodic, and the output is periodic, then the system is behaving predictably.  

    A periodic input, however, also gives rise to sub-harmonic outputs and chaotic output.  Pictures of this phenomenon are included, as well as a Fourier transform of the data, which reveals all the frequencies involved in the outputs.

 

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