Network Analysis of Chaotic Dynamics in Fixed-precision Digital Domain

Chengqing Li; Jinhu Lu; Guanrong Chen

doi:10.1109/ISCAS.2019.8702232

Network Analysis of Chaotic Dynamics in Fixed-precision Digital Domain

Chengqing Li^*
, Jinhu Lu
, Guanrong Chen

^*Corresponding author for this work

Department of Electrical Engineering

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

5 Citations (Scopus)

Abstract

When implemented in the digital domain with time, space and value discretized in the binary form, many good dynamical properties of chaotic systems in continuous domain may be degraded or even diminish. To measure the dynamic complexity of a digital chaotic system, the dynamics can be transformed to the form of a state-mapping network. Then, the parameters of the network are verified by some typical dynamical metrics of the original chaotic system in infinite precision, such as Lyapunov exponent and entropy. This article reviews some representative works on the network-based analysis of digital chaotic dynamics and presents a general framework for such analysis, unveiling some intrinsic relationships between digital chaos and complex networks. As an example for discussion, the dynamics of a state-mapping network of the Logistic map in a fixed-precision computer is analyzed and discussed.

Original language	English
Title of host publication	2019 IEEE International Symposium on Circuits and Systems (ISCAS) - Proceedings
Publisher	IEEE
ISBN (Print)	9781728103976
DOIs	https://doi.org/10.1109/ISCAS.2019.8702232
Publication status	Published - May 2019
Event	2019 IEEE International Symposium on Circuits and Systems (ISCAS 2019) - Sapporo, Japan Duration: 26 May 2019 → 29 May 2019 https://www.iscas2019.org/index.html https://ieeexplore.ieee.org/xpl/conhome/8682239/proceeding

Publication series

Name	Proceedings - IEEE International Symposium on Circuits and Systems
Volume	2019-May
ISSN (Print)	0271-4310
ISSN (Electronic)	2158-1525

Conference

Conference	2019 IEEE International Symposium on Circuits and Systems (ISCAS 2019)
Place	Japan
City	Sapporo
Period	26/05/19 → 29/05/19
Internet address	https://www.iscas2019.org/index.html https://ieeexplore.ieee.org/xpl/conhome/8682239/proceeding

Research Keywords

arithmetic domain
chaotic cryptography
chaotic dynamics
Logistic map
state-mapping network

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10.1109/ISCAS.2019.8702232

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@inproceedings{17ee63e1ca7c49f4bc853b0cdde80246,

title = "Network Analysis of Chaotic Dynamics in Fixed-precision Digital Domain",

abstract = "When implemented in the digital domain with time, space and value discretized in the binary form, many good dynamical properties of chaotic systems in continuous domain may be degraded or even diminish. To measure the dynamic complexity of a digital chaotic system, the dynamics can be transformed to the form of a state-mapping network. Then, the parameters of the network are verified by some typical dynamical metrics of the original chaotic system in infinite precision, such as Lyapunov exponent and entropy. This article reviews some representative works on the network-based analysis of digital chaotic dynamics and presents a general framework for such analysis, unveiling some intrinsic relationships between digital chaos and complex networks. As an example for discussion, the dynamics of a state-mapping network of the Logistic map in a fixed-precision computer is analyzed and discussed.",

keywords = "arithmetic domain, chaotic cryptography, chaotic dynamics, Logistic map, state-mapping network",

author = "Chengqing Li and Jinhu Lu and Guanrong Chen",

year = "2019",

month = may,

doi = "10.1109/ISCAS.2019.8702232",

language = "English",

isbn = "9781728103976",

series = "Proceedings - IEEE International Symposium on Circuits and Systems",

publisher = "IEEE",

booktitle = "2019 IEEE International Symposium on Circuits and Systems (ISCAS) - Proceedings",

address = "United States",

note = "2019 IEEE International Symposium on Circuits and Systems (ISCAS 2019) ; Conference date: 26-05-2019 Through 29-05-2019",

url = "https://www.iscas2019.org/index.html, https://ieeexplore.ieee.org/xpl/conhome/8682239/proceeding",

}

Li, C, Lu, J & Chen, G 2019, Network Analysis of Chaotic Dynamics in Fixed-precision Digital Domain. in 2019 IEEE International Symposium on Circuits and Systems (ISCAS) - Proceedings., 8702232, Proceedings - IEEE International Symposium on Circuits and Systems, vol. 2019-May, IEEE, 2019 IEEE International Symposium on Circuits and Systems (ISCAS 2019), Sapporo, Japan, 26/05/19. https://doi.org/10.1109/ISCAS.2019.8702232

Network Analysis of Chaotic Dynamics in Fixed-precision Digital Domain. / Li, Chengqing; Lu, Jinhu; Chen, Guanrong.
2019 IEEE International Symposium on Circuits and Systems (ISCAS) - Proceedings. IEEE, 2019. 8702232 (Proceedings - IEEE International Symposium on Circuits and Systems; Vol. 2019-May).

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - Network Analysis of Chaotic Dynamics in Fixed-precision Digital Domain

AU - Li, Chengqing

AU - Lu, Jinhu

AU - Chen, Guanrong

PY - 2019/5

Y1 - 2019/5

N2 - When implemented in the digital domain with time, space and value discretized in the binary form, many good dynamical properties of chaotic systems in continuous domain may be degraded or even diminish. To measure the dynamic complexity of a digital chaotic system, the dynamics can be transformed to the form of a state-mapping network. Then, the parameters of the network are verified by some typical dynamical metrics of the original chaotic system in infinite precision, such as Lyapunov exponent and entropy. This article reviews some representative works on the network-based analysis of digital chaotic dynamics and presents a general framework for such analysis, unveiling some intrinsic relationships between digital chaos and complex networks. As an example for discussion, the dynamics of a state-mapping network of the Logistic map in a fixed-precision computer is analyzed and discussed.

AB - When implemented in the digital domain with time, space and value discretized in the binary form, many good dynamical properties of chaotic systems in continuous domain may be degraded or even diminish. To measure the dynamic complexity of a digital chaotic system, the dynamics can be transformed to the form of a state-mapping network. Then, the parameters of the network are verified by some typical dynamical metrics of the original chaotic system in infinite precision, such as Lyapunov exponent and entropy. This article reviews some representative works on the network-based analysis of digital chaotic dynamics and presents a general framework for such analysis, unveiling some intrinsic relationships between digital chaos and complex networks. As an example for discussion, the dynamics of a state-mapping network of the Logistic map in a fixed-precision computer is analyzed and discussed.

KW - arithmetic domain

KW - chaotic cryptography

KW - chaotic dynamics

KW - Logistic map

KW - state-mapping network

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85066783377&origin=recordpage

U2 - 10.1109/ISCAS.2019.8702232

DO - 10.1109/ISCAS.2019.8702232

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 9781728103976

T3 - Proceedings - IEEE International Symposium on Circuits and Systems

BT - 2019 IEEE International Symposium on Circuits and Systems (ISCAS) - Proceedings

PB - IEEE

T2 - 2019 IEEE International Symposium on Circuits and Systems (ISCAS 2019)

Y2 - 26 May 2019 through 29 May 2019

ER -

Network Analysis of Chaotic Dynamics in Fixed-precision Digital Domain

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