TY - JOUR
T1 - Suppression and generation of chaos for a three-dimensional autonomous system using parametric perturbations
AU - Wu, X.
AU - Lu, J-A.
AU - Iu, Herbert
AU - Wong, S-C.
PY - 2007
Y1 - 2007
N2 - In this paper, we attempt to suppress or generate chaos in the newly presented Lu 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. (c) 2005 Elsevier Ltd. All rights reserved.
AB - In this paper, we attempt to suppress or generate chaos in the newly presented Lu 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. (c) 2005 Elsevier Ltd. All rights reserved.
U2 - 10.1016/j.chaos.2005.10.050
DO - 10.1016/j.chaos.2005.10.050
M3 - Article
VL - 31
SP - 811
EP - 819
JO - Chaos Solitons & Fractals
JF - Chaos Solitons & Fractals
SN - 0960-0779
IS - 4
ER -