Chaotifying Stable Linear Complex Networks via Single Pinning Impulsive Strategy

Abstract

Chaotification, aiming to make an original nonchaotic system chaotic, or enhancing an existing chaos, has attracted much attention recently. This paper investigates chaotification problem of stable linear complex networks, both discrete and continuous systems, via single pinning impulsive control. Under this scheme, the boundedness of these linear networks can be guaranteed, and the largest Lyapunov exponent of these controlled linear complex networks can be calculated in detail by theoretical analysis. Finally, two numerical examples are given to demonstrate the effectiveness of this strategy.