Period Analysis Based on CNN and Periodicity Ratio Method
Guodong Li, Liming Dai, Lu Han · 2010
In this work, we use a new approach to test whether the data from a numerical solution of a nonlinear differential system are periodic. If so, we can further check the corresponding period. A cellular neural/nonlinear network (CNN) has been used to test the data from the phase trajectory of the system. Then the period can be found from the data by examining the prime sub periodicity of the system. It is more efficient than using a periodicity with a normal number. The calculated velocity is only 10% of a normal number. To disclose the periodic character of a given nonlinear differential system whose analytical solution is difficult to be obtained, it’s very important to test the period of its numerical solution. A method is proposed to test the Periodic ratio method and times period of the data.