Synthesizing the Lü attractor by parameter-switching

Details Synthesizing the Lü attractor by parameter-switching Synthesizing the Lü attractor by parameter-switching

2011-03-08

arxiv.org/abs/1103.1447v1

Nonlinear Sciences

Chaotic Dynamics

accepted IJBC, 15 pages, 5 figures

Scientific paper

In this letter we synthesize numerically the L\"{u} 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 L\"{u} attractor starting from any finite set of parameter values.

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