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
ABSTRACT
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)
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