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. 
@article{ND_2012_8_3_a3,
     author = {Vadim G. Prokopenko},
     title = {Reduplication of chaotic attractors and construction of compound multiattractors},
     journal = {Russian journal of nonlinear dynamics},
     pages = {483--496},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2012_8_3_a3/}
}
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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/