Open AccessA new chaotic system and its implementation
Author(s) -
Chunlai Li,
Simin Yu,
Luo Xiao-Shu
Publication year - 2012
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.61.110502
Subject(s) - chaotic , lyapunov exponent , nonlinear system , amplitude , computer science , lorenz system , synchronization of chaos , control theory (sociology) , chaotic hysteresis , poincaré map , statistical physics , physics , bifurcation , artificial intelligence , quantum mechanics , control (management)
Based on the construction patterns of Chen and Liu chaotic systems, a new chaotic system is proposed by developing the Lorenz chaotic system. The essential features of chaotic system are analyzed via equilibrium, stability, continuous spectrum, and Poincare mapping. The different dynamic behaviors of the system are analyzed especially when each system parameter changes. It is found that when parameters d and e vary, the Lyapunov exponent spectrum keeps invariable, and there exist the functions of global nonlinear amplitude adjuster for d and partial nonlinear amplitude adjuster for e. Finally, a practical circuit is designed to implement this new chaotic system, which confirms that the chaotic system can be achieved physically.