A Multiscroll Chaotic Attractors with Arrangement of Saddle-Shapes and Its Field Programmable Gate Array (FPGA) Implementation
Based on the step function and signum function, a chaotic system which can generate multiscroll chaotic attractors with arrangement of saddle-shapes is proposed and the stability of its equilibrium points is analyzed. The under mechanism for the generation of multiscroll chaotic attractors and the r...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/9169242 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832554097247518720 |
|---|---|
| author | Faqiang Wang Yufang Xiao |
| author_facet | Faqiang Wang Yufang Xiao |
| author_sort | Faqiang Wang |
| collection | DOAJ |
| description | Based on the step function and signum function, a chaotic system which can generate multiscroll chaotic attractors with arrangement of saddle-shapes is proposed and the stability of its equilibrium points is analyzed. The under mechanism for the generation of multiscroll chaotic attractors and the reason for the arrangement of saddle shapes and being symmetric about y-axis are presented, and the rule for controlling the number of scroll chaotic attractors with saddle shapes is designed. Based on the core chips including Altera Cyclone IV EP4CE10F17C8 Field Programmable Gate Array and Digital to Analog Converter chip AD9767, the peripheral circuit and the Verilog Hardware Description Language program for realization of the proposed multiscroll chaotic system is constructed and some experimental results are presented for confirmation. The research result shows that the occupation of multipliers and Phase-Locked Loops in Field Programmable Gate Array is zero. |
| format | Article |
| id | doaj-art-85eef844cada47b9baf90f2b5e1d5b87 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-85eef844cada47b9baf90f2b5e1d5b872025-02-03T05:52:27ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/91692429169242A Multiscroll Chaotic Attractors with Arrangement of Saddle-Shapes and Its Field Programmable Gate Array (FPGA) ImplementationFaqiang Wang0Yufang Xiao1State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaState Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaBased on the step function and signum function, a chaotic system which can generate multiscroll chaotic attractors with arrangement of saddle-shapes is proposed and the stability of its equilibrium points is analyzed. The under mechanism for the generation of multiscroll chaotic attractors and the reason for the arrangement of saddle shapes and being symmetric about y-axis are presented, and the rule for controlling the number of scroll chaotic attractors with saddle shapes is designed. Based on the core chips including Altera Cyclone IV EP4CE10F17C8 Field Programmable Gate Array and Digital to Analog Converter chip AD9767, the peripheral circuit and the Verilog Hardware Description Language program for realization of the proposed multiscroll chaotic system is constructed and some experimental results are presented for confirmation. The research result shows that the occupation of multipliers and Phase-Locked Loops in Field Programmable Gate Array is zero.http://dx.doi.org/10.1155/2020/9169242 |
| spellingShingle | Faqiang Wang Yufang Xiao A Multiscroll Chaotic Attractors with Arrangement of Saddle-Shapes and Its Field Programmable Gate Array (FPGA) Implementation Complexity |
| title | A Multiscroll Chaotic Attractors with Arrangement of Saddle-Shapes and Its Field Programmable Gate Array (FPGA) Implementation |
| title_full | A Multiscroll Chaotic Attractors with Arrangement of Saddle-Shapes and Its Field Programmable Gate Array (FPGA) Implementation |
| title_fullStr | A Multiscroll Chaotic Attractors with Arrangement of Saddle-Shapes and Its Field Programmable Gate Array (FPGA) Implementation |
| title_full_unstemmed | A Multiscroll Chaotic Attractors with Arrangement of Saddle-Shapes and Its Field Programmable Gate Array (FPGA) Implementation |
| title_short | A Multiscroll Chaotic Attractors with Arrangement of Saddle-Shapes and Its Field Programmable Gate Array (FPGA) Implementation |
| title_sort | multiscroll chaotic attractors with arrangement of saddle shapes and its field programmable gate array fpga implementation |
| url | http://dx.doi.org/10.1155/2020/9169242 |
| work_keys_str_mv | AT faqiangwang amultiscrollchaoticattractorswitharrangementofsaddleshapesanditsfieldprogrammablegatearrayfpgaimplementation AT yufangxiao amultiscrollchaoticattractorswitharrangementofsaddleshapesanditsfieldprogrammablegatearrayfpgaimplementation AT faqiangwang multiscrollchaoticattractorswitharrangementofsaddleshapesanditsfieldprogrammablegatearrayfpgaimplementation AT yufangxiao multiscrollchaoticattractorswitharrangementofsaddleshapesanditsfieldprogrammablegatearrayfpgaimplementation |