Amplitude-Phase Control of a Novel Chaotic Attractor

Chunbiao Li1,2,3, Ihsan Pehlivan2,4, Julien Clinton Sprott2
1School of Electronic & Information Engineering
Nanjing University of Information Science & Technology,
Nanjing, P.R. China
2Department of Physics, University of Wisconsin-Madison,
Madison, WI, USA
3EngineeringTechnology Research and Development Center of
Jiangsu Circulation Modernization Sensor Network,
Jiangsu Institute of Commerce, Nanjing, P.R. China
4Department of Electrical and Electronics Engineering,
Faculty of Technology, Sakarya University,
Esentepe Campus, Serdivan, Sakarya, Turkey

Received: 09.01.2013 . Accepted/Published Online: 14.05.2013 . Final Version: 01.01.2016


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.

Ref: C. Li, I. Pehlivan, and  J. C. Sprott, Turkish Journal of Electrical Engineering & Computer Sciences 24, 1-11 (2016)

The complete paper is available in PDF format.

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