Synchronization and persistence in diffusively coupled lattice oscillators

Other Title(s)

التوافق و الثبات في انتشار الشبكات المزدوجة للمذبذبات

Joint Authors

Wasike, Adu A. M.
Rotich, K. T.

Source

Sultan Qaboos University Journal for Science

Issue

Vol. 2007, Issue 12 (31 Dec. 2007), pp.41-52, 12 p.

Publisher

Sultan Qaboos University College of Science

Publication Date

2007-12-31

Country of Publication

Oman

No. of Pages

12

Main Subjects

Physics
Information Technology and Computer Science

Topics

Abstract AR

تم دراسة التوافق و الثبات في نظام من شبكات المذبذبات المتطابقة و التي تنتشر زوجيا في جوارها الأقرب.

كل نظام جزئي له جاذب كلي متراص.

و قد تم عمل هذا ضمن إطار نظرية المتنوعات اللامتغيرة.

كما تم تطبيق ثبوتية الزائدية الطبيعية للحصول على شروط عامة لثبات و قوة التوافق المتنوع.

Abstract EN

We consider the synchronization and persistence of a system of identical lattice oscillators that are diffusely coupled to their nearest neighbors.

Each subsystem has a compact global attractor.

This is done in the framework of invariant manifold theory.

Normal hyperbolicity and its persistence are applied to obtain general conditions for the stability and robustness of the synchronization manifold.

AMS (MOS) Subject classifications : 37C 80, 37D10.

American Psychological Association (APA)

Wasike, Adu A. M.& Rotich, K. T.. 2007. Synchronization and persistence in diffusively coupled lattice oscillators. Sultan Qaboos University Journal for Science،Vol. 2007, no. 12, pp.41-52.
https://search.emarefa.net/detail/BIM-27289

Modern Language Association (MLA)

Wasike, Adu A. M.& Rotich, K. T.. Synchronization and persistence in diffusively coupled lattice oscillators. Sultan Qaboos University Journal for Science No. 12 (2007), pp.41-52.
https://search.emarefa.net/detail/BIM-27289

American Medical Association (AMA)

Wasike, Adu A. M.& Rotich, K. T.. Synchronization and persistence in diffusively coupled lattice oscillators. Sultan Qaboos University Journal for Science. 2007. Vol. 2007, no. 12, pp.41-52.
https://search.emarefa.net/detail/BIM-27289

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 52

Record ID

BIM-27289