Period-Doubling Bifurcation of Stochastic Fractional-Order Duffing System via Chebyshev Polynomial Approximation

المؤلفون المشاركون

Lei, Youming
Wang, Yanyan

المصدر

Shock and Vibration

العدد

المجلد 2017، العدد 2017 (31 ديسمبر/كانون الأول 2017)، ص ص. 1-12، 12ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2017-04-16

دولة النشر

مصر

عدد الصفحات

12

التخصصات الرئيسية

هندسة مدنية

الملخص EN

Fractional-order calculus is more competent than integer-order one when modeling systems with properties of nonlocality and memory effect.

And many real world problems related to uncertainties can be modeled with stochastic fractional-order systems with random parameters.

Therefore, it is necessary to analyze the dynamical behaviors in those systems concerning both memory and uncertainties.

The period-doubling bifurcation of stochastic fractional-order Duffing (SFOD for short) system with a bounded random parameter subject to harmonic excitation is studied in this paper.

Firstly, Chebyshev polynomial approximation in conjunction with the predictor-corrector approach is used to numerically solve the SFOD system that can be reduced to the equivalent deterministic system.

Then, the global and local analysis of period-doubling bifurcation are presented, respectively.

It is shown that both the fractional-order and the intensity of the random parameter can be taken as bifurcation parameters, which are peculiar to the stochastic fractional-order system, comparing with the stochastic integer-order system or the deterministic fractional-order system.

Moreover, the Chebyshev polynomial approximation is proved to be an effective approach for studying the period-doubling bifurcation of the SFOD system.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Lei, Youming& Wang, Yanyan. 2017. Period-Doubling Bifurcation of Stochastic Fractional-Order Duffing System via Chebyshev Polynomial Approximation. Shock and Vibration،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1204440

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Lei, Youming& Wang, Yanyan. Period-Doubling Bifurcation of Stochastic Fractional-Order Duffing System via Chebyshev Polynomial Approximation. Shock and Vibration No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1204440

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Lei, Youming& Wang, Yanyan. Period-Doubling Bifurcation of Stochastic Fractional-Order Duffing System via Chebyshev Polynomial Approximation. Shock and Vibration. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1204440

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1204440