title: A new method for observing the running states of a single-variable nonlinear system.
abstract: In order to timely grasp a single variable nonlinear system running states, a new method called Scatter Point method is put forward in this paper. It can be used to observe or monitor the running states of a single variable nonlinear system in real-time. In this paper, the definition of the method is given at first, and then its working principle is expounded theoretically, after this, some physical experiments based on Chua's nonlinear system are conducted. At the same time, many scatter point graphs are measured by a general analog oscilloscope. The motion, number, and distribution of these scatter points shown on the oscilloscope screen can directly reflect the current states of the tested system. The experimental results further confirm that the method is effective and practical, in which the system running states are not easily lost. In addition, this method is not only suitable for single variable systems but also for multivariable systems.
authors.affiliation: College of Economics & Business Administration, Heilongjiang University, Harbin 150080, China.
authors.forename: Yu
authors.initials: Y
authors.lastname: Meng
authors.affiliation: College of Electronic Engineer, Heilongjiang University, Harbin 150080, China.
authors.forename: Hong
authors.initials: H
authors.lastname: Chen
authors.affiliation: College of Electronic Engineer, Heilongjiang University, Harbin 150080, China.
authors.forename: Cheng
authors.initials: C
authors.lastname: Chen