A method for processing sequential information of states of technological processes or other complicated dynamic systems and for sequential detection of many abrupt or slow changes in several unknown states is considered. The method is based on a sequential nonlinear mapping of many-dimensional vectors of parameters (collection of which describes the present state of dynamic systems) into two-dimensional vectors in order to reflect the states and their changes on the PC screen. The mapping error function is chosen and expressions for sequential nonlinear mapping are obtained. The mapping preserves the inner structure of distances among the vectors. An example is given. A theoretical minimum amount of parameter vectors mapped simultaneously at the very beginning is obtained.