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Double-Scroll Attractor


A double-scroll attractor is a strange attractor with two spiral-shaped lobes in phase space. A trajectory on the attractor can make several turns within either lobe before passing to the other. Matsumoto et al. (1985) analyzed the double-scroll attractor of Chua's circuit equations.

DoubleScrollAttractor

The figure shows the xz-projection of a numerically integrated trajectory of Chua's circuit equations with alpha=78/5, beta=28, m_0=-8/7, and m_1=-5/7. The initial state is (1/10,0,0), and the plotted portion uses dimensionless time 25<=t<=130.


See also

Chua's Circuit Equations, Phase Space, Strange Attractor

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References

Chua, L. O. "Chua Circuit." Scholarpedia 2, 1488, 2007. https://doi.org/10.4249/scholarpedia.1488.Matsumoto, T.; Chua, L. O.; and Komuro, M. "The Double Scroll." IEEE Trans. Circuits Syst. 32, 797-818, 1985. https://doi.org/10.1109/TCS.1985.1085791.

Cite this as:

Weisstein, Eric W. "Double-Scroll Attractor." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Double-ScrollAttractor.html

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