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Period Analysis Based on CNN and Periodicity Ratio Method

[+] Author Affiliations
Guodong Li

North China Electric Power University, Beijing, PR China; University of Regina, Regina, SK, Canada

Liming Dai

University of Regina, Regina, SK, Canada; North China Electric Power University, Beijing, PR China

Lu Han

University of Regina, Regina, SK, Canada

Paper No. IMECE2010-37044, pp. 229-234; 6 pages
doi:10.1115/IMECE2010-37044
From:
  • ASME 2010 International Mechanical Engineering Congress and Exposition
  • Volume 8: Dynamic Systems and Control, Parts A and B
  • Vancouver, British Columbia, Canada, November 12–18, 2010
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4445-8
  • Copyright © 2010 by ASME

abstract

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.

Copyright © 2010 by ASME

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