According to the rapid spread of the Internet, the new devices and web applications using the newest multimedia technologies are proposed one after another and they become commodity in an instant. In these new web communications, the natural and intelligible interaction corresponding to the user's various demands is required. In the communication in which persons do the direct dialogue in the interaction not only on the web but also in real world, it is widely known by the psychology field that the nonverbal information which is hard to express in words such as expression of face and gesture is playing the important role. In our research, the new analysis method of interaction using the dynamical model is proposed and paid our attention to the characteristic gestures especially. These gestures are the special motions such as lively or powerful actions which used effectively in Kabuki, anime, dance and the special gestures in the speech and presentation of attracting audiences. By analyzing the mechanisms of these characteristic gestures mathematically, we can design the new interactive interfaces easily which are natural and familiar for all users.