A study on nonlinear dynamics of a two-peak chaotic system

Studying the nonlinear dynamics of a two-peak chaotic system,we found that the behaviour of the system begins with chaos,through intermittent chaotic,fixed points,period-doubling bifurcations to two chaotic attractors,converges to another fixed point,finally turns up to a new chaotic state.Computer simulations prove the validity of theory,it shows that there are a lot of chaotic phenomena in a two-peak discrete chaotic system,during a given range of system parameters,importing different original values,two different bifurcation series and attractors will appear in the same system.The iteration procedure of the system occurs between the two values,the whole two-peak chaotic system has complicated nonlinear dynamic behaviour.It's important for the studying of multi-attractors in theory and applications.