This article is cited in 4 papers

Reduplication of chaotic attractors and construction of compound multiattractors

Vadim G. Prokopenko

Southern Federal University, B. Sadovaia st. 105, Rostov-on-Don, 344006, Russia

Abstract: 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.

UDC: 517.9+621.372.011.7

MSC: 34F05, 60G05, 60G20, 60G35, 93E35

Received: 16.01.2011
Revised: 14.03.2011