CCII and FPGA Realization: A Multistable Modified Fourth-Order Autonomous Chua’s Chaotic System with Coexisting Multiple Attractors

Complexity

Sichun Du¹  Zinan Zhang²  Shuo Cai²  Bo Yin²  Yuanyuan Huang²  Yun Song²  Li Liu²  Binyong He²  Fei Yu²  Hui Shen²  Quan Xu³ 

[1] College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, China, hnu.edu.cn;School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, China, csust.edu.cn;School of Information Science and Engineering, Changzhou University, Changzhou 213164, China, cczu.edu.cn;

DOI  :  10.1155/2020/5212601

来源: publisher

【 摘 要 】

In this paper, a multistable modified fourth-order autonomous Chua’s chaotic system is investigated. In addition to the dynamic characteristics of the third-order Chua’s chaotic system itself, what interests us is that this modified fourth-order autonomous Chua’s chaotic system has five different types of coexisting attractors: double-scroll, single band chaotic attractor, period-4 limit cycle, period-2 limit cycle, and period-1 limit cycle. Then, an inductorless modified fourth-order autonomous Chua’s chaotic circuit is proposed. The active elements as well as the synthetic inductor employed in this circuit are designed using second-generation current conveyors (CCIIs). The reason for using CCIIs is that they have high conversion rate and operation speed, which enable the circuit to work at a higher frequency range. The Multisim simulations confirm the theoretical estimates of the performance of the proposed circuit. Finally, using RK-4 numerical algorithm of VHDL 32-bit IQ-Math floating-point number format, the inductorless modified fourth-order autonomous Chua’s chaotic system is implemented on FPGA for the development of embedded engineering applications based on chaos. The system is simulated and synthesized on Virtex-6 FPGA chip. The maximum operating frequency of modified Chua’s chaotic oscillator based on FPGA is 180.180 MHz. This study demonstrates that the hardware-based multistable modified fourth-order autonomous Chua’s chaotic system is a very good source of entropy and can be applied to various embedded systems based on chaos, including secure communication, cryptography, and random number generator.

【 授权许可】

CC BY