The Modelling Technique Based on Neuro-Fuzzy Structure for Chaotic Rossler System


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Tuntaş R.

in: Chaos, Complexity and Leadership 2012, Santo Banerjee,Şefika Şule Erçetin, Editor, Springer, London/Berlin , Ankara, pp.177-181, 2014

  • Publication Type: Book Chapter / Chapter Research Book
  • Publication Date: 2014
  • Publisher: Springer, London/Berlin 
  • City: Ankara
  • Page Numbers: pp.177-181
  • Editors: Santo Banerjee,Şefika Şule Erçetin, Editor
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

In this paper, an ANFIS approach for the modelling of Rossler system was presented. For this purpose a computer program was developed by using MATLAB programming language. The numerical data were obtained by using the numerical solve of differential equation of Rossler system to train the ANFIS models. The input–output data sets of this circuit were first stored and then these data sets were used to obtain its model based on ANFIS. The ANFIS models were trained and tested for different MFs. Then, the best ANFIS models were obtained by comparing the performances of MFs. Efficiency of the developed neuro-fuzzy modelling technique was tested and a mean 99.999 % recognition success was obtained. Then, the proposed ANFIS models were compared with MATLAB simulation. Obtained results showed that the ANFIS model simulation is much faster than, MATLAB simulation. This study showed that this model can be used in any other nonlinear dynamic systems analysis and chaos studies