vix.ing · top · new · best · stats · spec

Synthesizing the Lü attractor by parameter-switching

2011/03/08 by Marius-F. Danca, Marius‐F. Danca, Danca, Marius-F.
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Nonlinear Dynamics and Pattern Formation #nlin.CD #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.1103.1447

accepted IJBC, 15 pages, 5 figures

arxiv created 2011/03/08 · arxiv updated 2011/03/09

Abstract

In this letter we synthesize numerically the Lü attractor starting from the generalized Lorenz and Chen systems, by switching the control parameter inside a chosen finite set of values on every successive adjacent finite time intervals. A numerical method with fixed step size for ODEs is used to integrate the underlying initial value problem. As numerically and computationally proved in this work, the utilized attractors synthesis algorithm introduced by the present author before, allows to synthesize the Lü attractor starting from any finite set of parameter values.

Related