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摘要
This paper aims to report a novel route to chaotic bursting, i.e., the route via bifurcation delay and chaos crisis, based on the parametrically driven Lorenz system. A distinct bifurcation delay behavior can be observed when the slowly varying parameter increases through pitchfork bifurcation point of the Lorenz system. The delay behavior may terminate at chaotic parameter areas, which leads to a catastrophic transition from the origin to the Lorenz strange attractor, and this accounts for the appearance of the chaotically active phase. On the other hand, the Lorenz strange attractor may collide with its attraction basin and suddenly disappears by boundary crisis and therein lies the occurrence of quiescence. Based on this, we propose the novel route to chaotic bursting and a new chaotic bursting pattern which we call "delayed pitchfork/boundary crisis" bursting is obtained.
