Rank One Strange Attractors in Periodically Kicked Lorenz System with Time-Delay

الملخص EN

Rank one strange attractor in periodically kicked Lorenz system with time-delay is investigated.

Our discussion is based on the theory of rank one maps formulated by Wang and Young.

First, we develop the rank one chaotictheory to delayed systems.

It is shown that strange attractors occur when periodically kicked delayed system undergoes ageneric Hopf bifurcation.

Then we use the theory to the periodically kicked Lorenz system with delay, and derivation of conditionsfor Hopf bifurcation and rank one chaos along with the results of numerical simulations are presented.