Reduplication of chaotic attractors and construction of compound multiattractors


    2012, Vol. 8, No. 3, pp.  483-496

    Author(s): Prokopenko V. G.

    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
    Citation: Prokopenko V. G., Reduplication of chaotic attractors and construction of compound multiattractors, Rus. J. Nonlin. Dyn., 2012, Vol. 8, No. 3, pp.  483-496
    DOI:10.20537/nd1203004


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