Abstract
By using the feedback linearization, we studied the generating mechanism of intermittency. The well-known Lorenz model, Rössler model and BZ reaction model were selected as the subject of the present study. At first, we studied the basic properties of these models and it was found that the feedback linearization can apply to the analysis of these models. Subsequently, these models were modified into the linear equations with nonlinear inputs by the feedback linearization and we considered the generating mechanism of intermittency. The consideration results showed that the detailed information of the boundary has an important meaning to study the generating mechanism of intermittency. Moreover, it was shown that the generating mechanism of intermittency can be explained intuitively by the collision with the boundary.
