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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