Specific Mathematical Aspects of Dynamics Generated by Coherence Functions

المؤلفون المشاركون

Bakhoum, Ezzat G.
Toma, Cristian

المصدر

Mathematical Problems in Engineering

العدد

المجلد 2011، العدد 2011 (31 ديسمبر/كانون الأول 2011)، ص ص. 1-10، 10ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2010-11-25

دولة النشر

مصر

عدد الصفحات

10

التخصصات الرئيسية

هندسة مدنية

الملخص EN

This study presents specific aspects of dynamics generated by the coherence function (acting in an integral manner).

It is considered that an oscillating system starting to work from initial nonzero conditions is commanded by the coherence function between the output of the system and an alternating function of a certain frequency.

For different initial conditions, the evolution of the system is analyzed.

The equivalence between integrodifferential equations and integral equations implying the same number of state variables is investigated; it is shown that integro-differential equations of second order are far more restrictive regarding the initial conditions for the state variables.

Then, the analysis is extended to equations of evolution where the coherence function is acting under the form of a multiple integral.

It is shown that for the coherence function represented under the form of an nth integral, some specific aspects as multiscale behaviour suitable for modelling transitions in complex systems (e.g., quantum physics) could be noticed when n equals 4, 5, or 6.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Bakhoum, Ezzat G.& Toma, Cristian. 2010. Specific Mathematical Aspects of Dynamics Generated by Coherence Functions. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-472112

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Bakhoum, Ezzat G.& Toma, Cristian. Specific Mathematical Aspects of Dynamics Generated by Coherence Functions. Mathematical Problems in Engineering No. 2011 (2011), pp.1-10.
https://search.emarefa.net/detail/BIM-472112

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Bakhoum, Ezzat G.& Toma, Cristian. Specific Mathematical Aspects of Dynamics Generated by Coherence Functions. Mathematical Problems in Engineering. 2010. Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-472112

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-472112