Realization of a novel logarithmic chaotic system and its characteristic analysis

Xiaoyuan Wang, Xiaotao Min, Jun Yu, Yiran Shen, Guangyi Wang, Herbert Ching Iu Ho

Research output: Contribution to journalArticle

Abstract

To further improve the complexity of the chaotic system and broaden the chaotic parameter range, a novel logarithmic chaotic system was constructed by adding a nonlinear term of logarithm. The dynamic characteristics of the chaotic system were analyzed by chaotic phase diagram, bifurcation diagram, Lyapunov exponent spectrum, Poincaré mapping and dynamical map, etc. The system was digitized by DSP simulation, and the corresponding experimental results are completely consistent with the theoretical analysis. Furthermore, the equivalent hardware circuit was designed and theoretical analysis was verified by its experimental results.

Original languageEnglish
Article number1930004
JournalInternational Journal of Bifurcation and Chaos
Volume29
Issue number2
DOIs
Publication statusPublished - 1 Feb 2019

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Chaotic systems
Chaotic System
Logarithmic
Theoretical Analysis
Experimental Results
Bifurcation Diagram
Dynamic Characteristics
Logarithm
Lyapunov Exponent
Phase Diagram
Phase diagrams
Hardware
Networks (circuits)
Term
Range of data
Simulation

Cite this

Wang, Xiaoyuan ; Min, Xiaotao ; Yu, Jun ; Shen, Yiran ; Wang, Guangyi ; Ho, Herbert Ching Iu. / Realization of a novel logarithmic chaotic system and its characteristic analysis. In: International Journal of Bifurcation and Chaos. 2019 ; Vol. 29, No. 2.
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Realization of a novel logarithmic chaotic system and its characteristic analysis. / Wang, Xiaoyuan; Min, Xiaotao; Yu, Jun; Shen, Yiran; Wang, Guangyi; Ho, Herbert Ching Iu.

In: International Journal of Bifurcation and Chaos, Vol. 29, No. 2, 1930004, 01.02.2019.

Research output: Contribution to journalArticle

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T1 - Realization of a novel logarithmic chaotic system and its characteristic analysis

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AU - Min, Xiaotao

AU - Yu, Jun

AU - Shen, Yiran

AU - Wang, Guangyi

AU - Ho, Herbert Ching Iu

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