Comment on "How to Obtain Extreme Multistability in Coupled Dynamical Systems"

J. C. Sprott
Department of Physics, University of Wisconsin, 1150 University Avenue, Madison, Wisconsin 53706, USA

Chunbiao Li
Department of Engineering Technology, Jiangsu Institute of Commerce, 104 Guanghua Road, Nanjing 210003, China;
Department of Physics, University of Wisconsin, 1150 University Avenue, Madison, Wisconsin 53706, USA;
and School of Information Science and Engineering, Southeast University, Nanjing 210096, China

(Received 16 August 2013; published 23 June 2014)

We note that extreme multistability of the type described in the referenced paper can be achieved in virtually any dynamical system by adding extraneous variables and using their initial conditions in place of the existing parameters or as additional parameters. We show several simple examples of this and show how the referenced examples are similar.

Ref: J. C. Sprott and C. Li, Phys. Rev. E 89, 066901-1--2 (2014)

The complete paper is available in PDF format.

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