Amplitude-phase control of a novel chaotic attractor

Authors

CHUNBIAO LI
İHSAN PEHLİVAN
JULIEN CLINTON SPROTT

DOI

10.3906/elk-1301-55

Abstract

A novel chaotic attractor with a fractal wing structure is proposed and analyzed in terms of its basic dynamical properties. The most interesting feature of this system is that it has complex dynamical behavior, especially coexisting attractors for particular ranges of the parameters, including two coexisting periodic or strange attractors that can coexist with a third strange attractor. Amplitude and phase control methods are described since they are convenient for circuit design and chaotic signal applications. An appropriately chosen parameter in a particular quadratic coefficient can realize partial amplitude control. An added linear term can change the symmetry and provide an accessible knob to control the phase polarity. Finally, an amplitude-phase controllable circuit is designed using PSpice, and it shows good agreement with the theoretical analysis.

Keywords

Fractal structure, amplitude control, phase control, coexisting attractors

First Page

1

Last Page

11

Recommended Citation

LI, CHUNBIAO; PEHLİVAN, İHSAN; and SPROTT, JULIEN CLINTON (2016) "Amplitude-phase control of a novel chaotic attractor," Turkish Journal of Electrical Engineering and Computer Sciences: Vol. 24: No. 1, Article 1. https://doi.org/10.3906/elk-1301-55
Available at: https://journals.tubitak.gov.tr/elektrik/vol24/iss1/1