An Infinite 2-D Lattice of Strange Attractors
Chunbiao Li
Collaborative Innovation Center on Forecast and Evaluation of
Meteorological Disasters, Nanjing University of Information
Science and Technology, Nanjing 210044, China
Julien Clinton
Sprott
Department of Physics, University of Wisconsin-Madison, Madison,
WI 53706, USA
Yong Mei
Jiangsu Key Laboratory of Meteorological Observation and
Information Processing, Nanjing University of Information
Science and Technology, Nanjing 210044, China
Received: 17 November 2016 / Accepted: 9 June 2017 / Published
online: 24 June 2017
ABSTRACT
Periodic trigonometric functions are introduced in 2-D
offset-boostable chaotic flows to generate an infinite 2-D
lattice of strange attractors. These 2-D offset-boostable
chaotic systems are constructed based on standard jerk flows and
extended to more general systems by exhaustive computer
searching. Two regimes of multistability with a lattice of
strange attractors are explored where the infinitely many
attractors come from a 2-D offset-boostable chaotic system in
cascade or in an interactive mode.
Ref: C. Li, J. C. Sprott, and Y. Mei, Nonlinear Dynamics 89,
2629-2639 (2017)
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