Generation of n × m-wing Lorenz-like attractors from a modified Shimizu-Morioka model

Simin Yu; Wallace K.S. Tang; Jinhu Lü; Guanrong Chen

doi:10.1109/TCSII.2008.2002563

Generation of n × m-wing Lorenz-like attractors from a modified Shimizu-Morioka model

Simin Yu
, Wallace K.S. Tang
, Jinhu Lü
, Guanrong Chen

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

109 Citations (Scopus)

Abstract

This paper explores the generation of n- and n × m-wing Lorenz-type attractors from a modified Shimizu-Morioka system. The basic idea is to increase the number of index-2 equilibrium points by introducing a multisegment quadratic function and a stair function in the 2-D state-space of the system. The design is verified by both simulation and experiment, where multiwing attractors over a grid can be clearly observed. © 2008 IEEE.

Original language	English
Pages (from-to)	1168-1172
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	55
Issue number	11
DOIs	https://doi.org/10.1109/TCSII.2008.2002563
Publication status	Published - 2008

Research Keywords

Lorenz system
Multiwing attractor
Shimizu-Morioka model

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abstract = "This paper explores the generation of n- and n × m-wing Lorenz-type attractors from a modified Shimizu-Morioka system. The basic idea is to increase the number of index-2 equilibrium points by introducing a multisegment quadratic function and a stair function in the 2-D state-space of the system. The design is verified by both simulation and experiment, where multiwing attractors over a grid can be clearly observed. {\textcopyright} 2008 IEEE.",

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AU - Chen, Guanrong

PY - 2008

Y1 - 2008

N2 - This paper explores the generation of n- and n × m-wing Lorenz-type attractors from a modified Shimizu-Morioka system. The basic idea is to increase the number of index-2 equilibrium points by introducing a multisegment quadratic function and a stair function in the 2-D state-space of the system. The design is verified by both simulation and experiment, where multiwing attractors over a grid can be clearly observed. © 2008 IEEE.

AB - This paper explores the generation of n- and n × m-wing Lorenz-type attractors from a modified Shimizu-Morioka system. The basic idea is to increase the number of index-2 equilibrium points by introducing a multisegment quadratic function and a stair function in the 2-D state-space of the system. The design is verified by both simulation and experiment, where multiwing attractors over a grid can be clearly observed. © 2008 IEEE.

KW - Lorenz system

KW - Multiwing attractor

KW - Shimizu-Morioka model

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M3 - RGC 21 - Publication in refereed journal

SN - 1549-7747

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EP - 1172

JO - IEEE Transactions on Circuits and Systems II: Express Briefs

JF - IEEE Transactions on Circuits and Systems II: Express Briefs

IS - 11

ER -

Generation of n × m-wing Lorenz-like attractors from a modified Shimizu-Morioka model

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Research Keywords

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