Analysis of a Lorenz-Like Chaotic System by Lyapunov Functions

المؤلف

Zhang, Fuchen

المصدر

Complexity

العدد

المجلد 2019، العدد 2019 (31 ديسمبر/كانون الأول 2019)، ص ص. 1-6، 6ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2019-07-09

دولة النشر

مصر

عدد الصفحات

6

التخصصات الرئيسية

الفلسفة

الملخص EN

In this paper, we investigate the ultimate bound set and positively invariant set of a 3D Lorenz-like chaotic system, which is different from the well-known Lorenz system, Rössler system, Chen system, Lü system, and even Lorenz system family.

Furthermore, we investigate the global exponential attractive set of this system via the Lyapunov function method.

The rate of the trajectories going from the exterior of the globally exponential attractive set to the interior of the globally exponential attractive set is also obtained for all the positive parameters values a,b,c.

The innovation of this paper is that our approach to construct the ultimate bounded and globally exponential attractivity sets assumes that the corresponding sets depend on some artificial parameters (λ and m); that is, for the fixed parameters of the system, we have a series of sets depending on λ and m.

The results contain the known result as a special case for the fixed λ and m.

The efficiency of the scheme is shown numerically.

The theoretical results may find wide applications in chaos control and chaos synchronization.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Zhang, Fuchen. 2019. Analysis of a Lorenz-Like Chaotic System by Lyapunov Functions. Complexity،Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1132758

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Zhang, Fuchen. Analysis of a Lorenz-Like Chaotic System by Lyapunov Functions. Complexity No. 2019 (2019), pp.1-6.
https://search.emarefa.net/detail/BIM-1132758

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Zhang, Fuchen. Analysis of a Lorenz-Like Chaotic System by Lyapunov Functions. Complexity. 2019. Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1132758

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1132758