TY - JOUR
T1 - Suppression and generation of chaos for a three-dimensional autonomous system using parametric perturbations
AU - Wu, Xiaoqun
AU - Lu, Jun an
AU - Iu, Herbert H.C.
AU - Wong, Siu Chung
PY - 2007/2/1
Y1 - 2007/2/1
N2 - In this paper, we attempt to suppress or generate chaos in the newly presented Lü system using parametric perturbation. We find that this method not only suppresses chaotic behavior, but also induces chaos in non-chaotic parameter ranges. When we add the small sinusoidal perturbations, the system becomes four-dimension. From the calculation of Lyapunov exponents, we discover hyperchaos in the perturbed system, which has not yet been reported before.
AB - In this paper, we attempt to suppress or generate chaos in the newly presented Lü system using parametric perturbation. We find that this method not only suppresses chaotic behavior, but also induces chaos in non-chaotic parameter ranges. When we add the small sinusoidal perturbations, the system becomes four-dimension. From the calculation of Lyapunov exponents, we discover hyperchaos in the perturbed system, which has not yet been reported before.
UR - http://www.scopus.com/inward/record.url?scp=33747331670&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2005.10.050
DO - 10.1016/j.chaos.2005.10.050
M3 - Journal article
SN - 0960-0779
VL - 31
SP - 811
EP - 819
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 4
ER -