Analysis of a Fractional-Order Couple Model with Acceleration in Feelings

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Koca I., ÖZALP N.

SCIENTIFIC WORLD JOURNAL, 2013 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1155/2013/730736
  • Dergi Adı: SCIENTIFIC WORLD JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Ankara Üniversitesi Adresli: Evet

Özet

A fractional-order nonlinear dynamical model of couple has been introduced. Upper bounds are obtained for a fractional-order nonlinear dynamical model. Also different from other models, a model with the order 2 alpha is discussed. We are expecting an acceleration in feelings; that is why we increase the order of the derivative between 1 < 2 alpha <= 2. Stability analysis of the fractional-order nonlinear dynamical model of involving two persons is studied using the fractional Routh-Hurwitz criteria. By using stability analysis on fractional-order system, we obtain sufficient condition on the parameters for the locally asymptotic stability of equilibrium points. Finally, numerical simulations are presented to verify the obtained results.