MULTISPIRAL Strange Attractors in Brockett's system

See my paper :

in the Int. Journ. of Bifurcation and Chaos 9(6), 1009-1039, (1999), (IJBC).

See also a Gallery of multispiral Strange Attractors in the modified Chua's system

See also some multispiral Strange Attractors in some nonautonomous system

See also some multispiral Strange Attractors in some PWL Reich-Kapitaniak type system

See also some multi-buckle Strange Attractors in some Van der pol type system

Brockett [1982] studied the following system :
{dx}/{dt} = y, {dy}/{dt} = z, {dz}/{dt} = -beta.y -gamma.z + g(x),
where x and y are functions of t, g(x) is some PWL function, and beta, gamma are the parameters of the system. In the ref. given above, I replaced g by the Chua's nonlinearity to get some new strange attractors:

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A 4-spiral strange attractor exhibited by the modified Brocket's system

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A 6-spiral strange attractor exhibited by the modified Brocket's system

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