Geodesic
Reduplication of chaotic attractors and construction of compound multiattractors
Russian journal of nonlinear dynamics, Tome 8 (2012) no. 3, pp. 483-496

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This paper is concerned with a method for forming compound (composite) chaotic multiattractors using the Lorentz equations as an example. These multiattractors are a union of several local attractors which are copies of some initial chaotic attractor.
Keywords: nonlinear dynamic system, autostochastic system, chaotic attractor, Lorentz attractor, compound multiattractor, metastable attractor, multisegment nonlinearity, intermittency, chaotic switchings, reduplication operator. 
Vadim G. Prokopenko. Reduplication of chaotic attractors and construction of compound multiattractors. Russian journal of nonlinear dynamics, Tome 8 (2012) no. 3, pp. 483-496. http://geodesic.mathdoc.fr/item/ND_2012_8_3_a3/
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