A 2-D conditional symmetric hyperchaotic map with complete control

Yongxin Li; Chunbiao Li; Sicong Liu; Zhongyun Hua; Haibo Jiang

doi:10.1007/s11071-022-07485-5

A 2-D conditional symmetric hyperchaotic map with complete control

Yongxin Li
, Chunbiao Li^*
, Sicong Liu
, Zhongyun Hua
, Haibo Jiang

^*Corresponding author for this work

Nanjing University of Information Science & Technology
University of Electronic Science and Technology of China
Harbin Institute of Technology Shenzhen
Yancheng Teachers University

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

By introducing an absolute value function for polarity balance, a unique hyperchaotic map with complete control and conditional symmetry is designed. Firstly, coexisting conditional symmetric bifurcations and hyperchaotic phase trajectories are found in the map. Then, two independent parameters are proven to provide a direct knob for partial and total amplitude control. Finally, a STM32-based hardware experiment is carried out to verify the theoretical finding.

Original language	English
Pages (from-to)	1155-1165
Number of pages	11
Journal	Nonlinear Dynamics
Volume	109
Issue number	2
DOIs	https://doi.org/10.1007/s11071-022-07485-5
State	Published - Jul 2022
Externally published	Yes

Keywords

Complete control
Conditional symmetry
Hyperchaotic map

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10.1007/s11071-022-07485-5

Cite this

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title = "A 2-D conditional symmetric hyperchaotic map with complete control",

abstract = "By introducing an absolute value function for polarity balance, a unique hyperchaotic map with complete control and conditional symmetry is designed. Firstly, coexisting conditional symmetric bifurcations and hyperchaotic phase trajectories are found in the map. Then, two independent parameters are proven to provide a direct knob for partial and total amplitude control. Finally, a STM32-based hardware experiment is carried out to verify the theoretical finding.",

keywords = "Complete control, Conditional symmetry, Hyperchaotic map",

author = "Yongxin Li and Chunbiao Li and Sicong Liu and Zhongyun Hua and Haibo Jiang",

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AU - Li, Yongxin

AU - Li, Chunbiao

AU - Liu, Sicong

AU - Hua, Zhongyun

AU - Jiang, Haibo

PY - 2022/7

Y1 - 2022/7

N2 - By introducing an absolute value function for polarity balance, a unique hyperchaotic map with complete control and conditional symmetry is designed. Firstly, coexisting conditional symmetric bifurcations and hyperchaotic phase trajectories are found in the map. Then, two independent parameters are proven to provide a direct knob for partial and total amplitude control. Finally, a STM32-based hardware experiment is carried out to verify the theoretical finding.

AB - By introducing an absolute value function for polarity balance, a unique hyperchaotic map with complete control and conditional symmetry is designed. Firstly, coexisting conditional symmetric bifurcations and hyperchaotic phase trajectories are found in the map. Then, two independent parameters are proven to provide a direct knob for partial and total amplitude control. Finally, a STM32-based hardware experiment is carried out to verify the theoretical finding.

KW - Complete control

KW - Conditional symmetry

KW - Hyperchaotic map

UR - https://www.scopus.com/pages/publications/85129716089

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DO - 10.1007/s11071-022-07485-5

M3 - 文章

AN - SCOPUS:85129716089

SN - 0924-090X

VL - 109

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JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 2

ER -

A 2-D conditional symmetric hyperchaotic map with complete control

Abstract

Keywords

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