Open AccessImplementation of a new chaotic system based on field programmable gate array
Author(s) -
Shuyi Shao,
Fuhong Min,
Wu Xue-Hong,
Xinguo Zhang
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.060501
Subject(s) - realizability , chaotic , attractor , lyapunov exponent , computer science , discretization , equilibrium point , field (mathematics) , bifurcation , control theory (sociology) , algorithm , physics , mathematics , nonlinear system , mathematical analysis , control (management) , quantum mechanics , artificial intelligence , pure mathematics
A new five-dimensional modified Chua’s system is proposed and its dynamic properties are investigated through numerical simulations, the stabilization of equilibrium points, bifurcation diagrams, and Lyapunov exponent spectrum. The different dynamic behaviors of the new system are analyzed with system parameters changed. Based on the mathematical model of the new system and the digital processing technology, the five-dimensional modified Chua’s system is discretized. According to IEEE-754 standard and module-based design idea, basic floating-point operational modules are designed. Furthermore, the chaotic attractors of the five-dimensional modified Chua’s system are realized by field programmable gate array. The investigation results show that the chaotic system is different from the existing chaotic systems. It also shows a good agreement between numerical simulation and hardware implementation, which proves the existence and realizability of the new chaotic system.