Dynamics analysis of a 5-dimensional hyperchaotic system with conservative flows under perturbation

doi:10.1088/1674-1056/abea9a

中国物理B ›› 2021, Vol. 30 ›› Issue (10): 100502-100502.doi: 10.1088/1674-1056/abea9a

Dynamics analysis of a 5-dimensional hyperchaotic system with conservative flows under perturbation

Xuenan Peng(彭雪楠), Yicheng Zeng(曾以成)^†, and Qi Xie(谢奇)

School of Physics and Optoelectronic Engineering, Xiangtan University, Xiangtan 411105, China

收稿日期:2021-01-19 修回日期:2021-02-19 接受日期:2021-03-03 出版日期:2021-09-17 发布日期:2021-09-17
通讯作者: Yicheng Zeng E-mail:yichengz@xtu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 62071411).

Dynamics analysis of a 5-dimensional hyperchaotic system with conservative flows under perturbation

Xuenan Peng(彭雪楠), Yicheng Zeng(曾以成)^†, and Qi Xie(谢奇)

School of Physics and Optoelectronic Engineering, Xiangtan University, Xiangtan 411105, China

Received:2021-01-19 Revised:2021-02-19 Accepted:2021-03-03 Online:2021-09-17 Published:2021-09-17
Contact: Yicheng Zeng E-mail:yichengz@xtu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 62071411).

摘要/Abstract

摘要： Conservative chaotic flows have better ergodicity, therefore researching dynamics and applications of conservative systems has become a hot topic. We introduce a constant-perturbation into a 5-dimensional (5D) conservative model. Consequently, the line equilibria of original model have been changed to non-equilibrium. Plentiful chaos phenomena such as coexisting conservative flows can be observed in this modified system. In addition, by increasing the magnitude of the disturbance, the conservative system can be transformed to a dissipative system. Then, the modified system is realized by an xc7z020clg400 field programmable gate array (FPGA) chip. The designed chaotic oscillator consumes fewer resources and has high iteration speed. Finally, a pseudo random number generator based on this novel digital oscillator is designed.

关键词: perturbation method, coexistence hidden chaotic sea, FPGA realization

Abstract: Conservative chaotic flows have better ergodicity, therefore researching dynamics and applications of conservative systems has become a hot topic. We introduce a constant-perturbation into a 5-dimensional (5D) conservative model. Consequently, the line equilibria of original model have been changed to non-equilibrium. Plentiful chaos phenomena such as coexisting conservative flows can be observed in this modified system. In addition, by increasing the magnitude of the disturbance, the conservative system can be transformed to a dissipative system. Then, the modified system is realized by an xc7z020clg400 field programmable gate array (FPGA) chip. The designed chaotic oscillator consumes fewer resources and has high iteration speed. Finally, a pseudo random number generator based on this novel digital oscillator is designed.

Key words: perturbation method, coexistence hidden chaotic sea, FPGA realization

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Pq (Numerical simulations of chaotic systems) 05.45.-a (Nonlinear dynamics and chaos)

Xuenan Peng(彭雪楠), Yicheng Zeng(曾以成), and Qi Xie(谢奇). Dynamics analysis of a 5-dimensional hyperchaotic system with conservative flows under perturbation[J]. 中国物理B, 2021, 30(10): 100502-100502.

Xuenan Peng(彭雪楠), Yicheng Zeng(曾以成), and Qi Xie(谢奇). Dynamics analysis of a 5-dimensional hyperchaotic system with conservative flows under perturbation[J]. Chin. Phys. B, 2021, 30(10): 100502-100502.

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Dynamics analysis of a 5-dimensional hyperchaotic system with conservative flows under perturbation

Dynamics analysis of a 5-dimensional hyperchaotic system with conservative flows under perturbation

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