Sprott's Jerk Equations

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A set of chaotic oscillators known as Sprott's third-order jerk functions, which are nonlinear third-order differential equations, are plotted. These equations are interesting because they are algebraically and computationally simple, have applications to audio synthesis, and can be implemented with circuits. These represent one of the simplest functional realizations of dynamical systems that exhibit chaos.

Contributed by: Enrique Zeleny (June 2012)
Open content licensed under CC BY-NC-SA


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References

[1] J. C. Sprott, "Simple Chaotic Systems and Circuits," American Journal of Physics, 68(8), pp. 758–763, 2000. doi:10.1119/1.19538.

[2] M. Havryliv. "Mathematica and SC3 Files for Sprott's Jerk Equations." (Sept 4, 2010).



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