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Control of Bifurcations and Chaos in Small-World Networks

An impulsive hybrid control method was proposed to control the period doubling bifurcations and stabilize unstable period orbits embedded in the chaotic attractor of a small-world network. Simulation results show that the bifurcations can be delayed or completely eliminated. A periodic orbit of the system can be controlled to desired 2<sup>n</sup>, 3<sup>m</sup> or 2<sup>n</sup>times3<sup>m</sup> period orbits by the method.