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Specific Mathematical Aspects of Dynamics Generated by Coherence Functions
Joint Authors
Bakhoum, Ezzat G.
Toma, Cristian
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-11-25
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract 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.
American Psychological Association (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
Modern Language Association (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
American Medical Association (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
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472112