Infinite lattice of hyperchaotic strange attractors

Chunbiao Lia,b,∗, Julien Clinton Sprottc, Tomasz Kapitaniakd, Tianai Lua,b

a Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science & Technology, Nanjing 210044, China
b Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters, Nanjing University of Information Science & Technology, Nanjing 210044, China
c Department of Physics, University of Wisconsin–Madison, Madison, WI 53706, USA
d Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, Lodz 90-924, Poland

Received 5 September 2017, Revised 5 December 2017, Accepted 16 February 2018


By introducing trigonometric functions in a 4-D hyperchaotic snap system, infinite 1-D, 2-D, and 3-D lat tices of hyperchaotic strange attractors were produced. Furthermore a general approach was developed for constructing self-reproducing systems, in which infinitely many attractors share the same Lyapunov exponents. In this case, cumbersome constants are necessary to obtain offset boosting; correspondingly additional periodic functions are needed for attractor hatching. As an example, a hyperchaotic system with a hidden attractor was transformed for reproducing 1-D, 2-D infinite lattices of hyperchaotic attractors and a 4-D lattice of chaotic attractors.

Ref: C. Li, J. C. Sprott, T. Kapitaniak, and T. Lu, Chaos Solitons & Fractals 109, 76-82 (2018)

The complete paper is available in PDF format.

Return to Sprott's Books and Publications.