Abstract: It is proved that variable-parametric discrete Devaney chaotic systems is also chaotic in the sense of Li-Yorke,and several new variable-parametric chaotic systems are introduced.After that the authors study  the existence of its asymptotic periodic point.These results futher extend the scope of the research on discrete chaotic systems.

Key words: variable parameter, Li-Yorke chaos, Devaney chaos, asymptotic periodic point