2012•Chinese Physics BOpen access

Bifurcations and chaos control in discrete small-world networks

Ning Li, Haiyi Sun, Qingling Zhang

Abstract

An impulsive delayed feedback control strategy to control period-doubling bifurcations and chaos is proposed. The control method is then applied to a discrete small-world network model. Qualitative analyses and simulations show that under a generic condition, the bifurcations and the chaos can be delayed or eliminated completely. In addition, the periodic orbits embedded in the chaotic attractor can be stabilized.

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Key concepts: CHAOS (operating system), Attractor, Control of chaos, Chaotic, Periodic orbits, Control theory (sociology), Period-doubling bifurcation, Computer science