TY - JOUR
T1 - Generating two simultaneously chaotic attractors with a switching piecewise-linear controller
AU - Zheng, Zuohuan
AU - Lü, Jinhu
AU - Chen, Guanrong
AU - Zhou, Tianshou
AU - Zhang, Suochun
PY - 2004/4
Y1 - 2004/4
N2 - It has been demonstrated that a piecewise-linear system can generate chaos under suitable conditions. This paper proposes a novel method for simultaneously creating two symmetrical chaotic attractor - an upper-attractor and a lower-attractor - in a 3D linear autonomous system. Basically dynamical behaviors of this new chaotic system are further investigated. Especially, the chaos formation mechanism is explored by analyzing the structure of fixed points and the system trajectories. © 2003 Elsevier Ltd. All rights reserved.
AB - It has been demonstrated that a piecewise-linear system can generate chaos under suitable conditions. This paper proposes a novel method for simultaneously creating two symmetrical chaotic attractor - an upper-attractor and a lower-attractor - in a 3D linear autonomous system. Basically dynamical behaviors of this new chaotic system are further investigated. Especially, the chaos formation mechanism is explored by analyzing the structure of fixed points and the system trajectories. © 2003 Elsevier Ltd. All rights reserved.
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U2 - 10.1016/S0960-0779(03)00376-X
DO - 10.1016/S0960-0779(03)00376-X
M3 - RGC 21 - Publication in refereed journal
SN - 0960-0779
VL - 20
SP - 277
EP - 288
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 2
ER -