Reduplication of chaotic attractors and construction of compound multiattractors

Vadim G. Prokopenko

Russian journal of nonlinear dynamics, Tome 8 (2012) no. 3, pp. 483-496.

Résumé

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.

Détail

Keywords: nonlinear dynamic system, autostochastic system, chaotic attractor, Lorentz attractor, compound multiattractor, metastable attractor, multisegment nonlinearity, intermittency, chaotic switchings, reduplication operator.

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