Hypogenetic Chaotic Jerk Flows

Chunbiao Lia,b, Julien Clinton Sprottc, Hongyan Xinga,b

a Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science & Technology, Nanjing 210044, China

b School of Electronic & Information Engineering, Nanjing University of Information Science & Technology, Nanjjing 210044, China
c Department of Physics. University of Wisconsin - Madison, Madison, WI 53706, USA

Received 1 December 2015
Received in revised form 20 January 2016
Accepted 27 January 2016
Available online 28 January 2016
Communicated by C. R. Doering

ABSTRACT

Removing the amplitude or polarity information in the feedback loop of a jerk structure shows that special nonlinearities with partial information in the variable can also lead to chaos. Some striking properties are found for this kind of hypogenetic chaotic jerk flow, including multistability of symmetric coexisting attractors from an asymmetric structure, hidden attractors with respect to equilibria but with global attraction, easy amplitude control, and phase reversal which is convenient for chaos applications.

Ref: C. Li, J. C. Sprott, and H. Xing, Phys. Lett. A 380, 1172-1177 (2016)

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