关键词: 混沌吸引子, 混沌机理, Lorenz系统, Chen系统, Rö, ssler系统

Abstract: Taking example for Lorenz’s chaotic system，Chen’s system，Lü’s system and Rössler’s system，several crucial problems with regard to chaos are researched，such as the mechanism to form chaotic attractors，the structural characteristic of chaotic attractors and the essential reason why the motion of a chaotic system is hypersensitive to initial value and so on.It is pointed out that each chaotic system comprises leastways two nonlinear motion modes.The state of system moves from one mode to another.The essential reason to produce chaos is nonperiodic motion switch between two modes.Asynchronous switch of two state motions from adjacent different initial conditions results in sensitive dependence on initial value.

Key words: chaotic attractor, mechanism of chaos, Lorenz’s system, Chen’s system Rö, ssler’s system