A New Fractional-Order Chaotic Complex System and Its Antisynchronization

المؤلفون المشاركون

Liu, Shutang
Jiang, Cuimei
Luo, Chao

المصدر

Abstract and Applied Analysis

العدد

المجلد 2014، العدد 2014 (31 ديسمبر/كانون الأول 2014)، ص ص. 1-12، 12ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2014-10-19

دولة النشر

مصر

عدد الصفحات

12

التخصصات الرئيسية

الرياضيات

الملخص EN

We propose a new fractional-order chaotic complex system and study its dynamical properties including symmetry, equilibria and their stability, and chaotic attractors.

Chaotic behavior is verifiedwith phase portraits, bifurcation diagrams, the histories, and the largest Lyapunov exponents.

And we find that chaos exists in this system with orders less than 5 by numerical simulation.

Additionally, antisynchronization of different fractional-order chaotic complex systems is considered based on the stability theory of fractional-order systems.

This new system and the fractional-order complex Lorenz system can achieve antisynchronization.

Corresponding numerical simulations show the effectiveness and feasibility of the scheme.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Jiang, Cuimei& Liu, Shutang& Luo, Chao. 2014. A New Fractional-Order Chaotic Complex System and Its Antisynchronization. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033692

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Jiang, Cuimei…[et al.]. A New Fractional-Order Chaotic Complex System and Its Antisynchronization. Abstract and Applied Analysis No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1033692

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Jiang, Cuimei& Liu, Shutang& Luo, Chao. A New Fractional-Order Chaotic Complex System and Its Antisynchronization. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033692

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1033692