TY - GEN
T1 - Network analysis of chaotic dynamics in fixed-precision digital domain
AU - Li, Chengqing
AU - Lu, Jinhu
AU - Chen, Guanrong
N1 - Publisher Copyright:
© 2019 IEEE
PY - 2019
Y1 - 2019
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
UR - https://www.scopus.com/pages/publications/85066783377
U2 - 10.1109/ISCAS.2019.8702232
DO - 10.1109/ISCAS.2019.8702232
M3 - 会议稿件
AN - SCOPUS:85066783377
T3 - Proceedings - IEEE International Symposium on Circuits and Systems
BT - 2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019
Y2 - 26 May 2019 through 29 May 2019
ER -