Open AccessHyperchaotic Lorenz system
Author(s) -
Xingyuan Wang,
Mingjun Wang
Publication year - 2007
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.56.5136
Subject(s) - lorenz system , lyapunov exponent , bifurcation diagram , chaotic , nonlinear system , bifurcation , phase diagram , control theory (sociology) , computer science , physics , phase (matter) , control (management) , quantum mechanics , artificial intelligence
This paper presents a four-dimensional hyperchaotic Lorenz system, obtained by adding a nonlinear controller to Lorenz chaotic system. The hyperchaotic Lorenz system is studied by bifurcation diagram, Lyapunov exponent spectrum and phase diagram. Numerical simulations show that the new system's behavior can be convergent, divergent, periodic, chaotic and hyperchaotic as the parameter varies.