A Novel Chaotic System with Two Circles of Equilibrium Points: Multistability, Electronic Circuit and FPGA Realization

Electronics

卷:8

Omar Guillen-Fernandez¹  Esteban Tlelo-Cuautle¹  Sukono²  Aceng Sambas³  Gugun Gundara³  Yuyun Hidayat⁴  Sundarapandian Vaidyanathan⁵  Sen Zhang⁶ 

[1] Department of Electronics, National Institute of Astrophysics, Optics and Electronics (INAOE), Tonantzintla Puebla 72840, Mexico;

[2] Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Sumedang 45363, Indonesia;

[3] Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tasikmalaya 46196, Indonesia;

[4] Department of Statistics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Sumedang 45363, Indonesia;

[5] Research and Development Centre, Vel Tech University, Chennai 600062, India;

[6] School of Physics and Opotoelectric Engineering, Xiangtan University, Xiangtan 411105, China;

关键词: chaotic system;    close curve equilibrium;    multistability;    electronic circuit;    fpga;   

DOI  :  10.3390/electronics8111211

来源: DOAJ

【 摘 要 】

This paper introduces a new chaotic system with two circles of equilibrium points. The dynamical properties of the proposed dynamical system are investigated through evaluating Lyapunov exponents, bifurcation diagram and multistability. The qualitative study shows that the new system exhibits coexisting periodic and chaotic attractors for different values of parameters. The new chaotic system is implemented in both analog and digital electronics. In the former case, we introduce the analog circuit of the proposed chaotic system with two circles of equilibrium points using amplifiers, which is simulated in MultiSIM software, version 13.0 and the results of which are in good agreement with the numerical simulations using MATLAB. In addition, we perform the digital implementation of the new chaotic system using field-programmable gate arrays (FPGA), the experimental observations of the attractors of which confirm its suitability to generate chaotic behavior.

【 授权许可】

Unknown