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Vol. XII Issue I - January 2010
Project Management eJournal
FEATURED PAPER
The Dynamics of Human Social Behavior:
Qualitative Mathematical Description of Human Interactions
By Pavel Barseghyan, PhD
Abstract
Periodicity of processes and their stability for any level of the motion of matter are inseparably linked with each other. From this perspective, the process of interaction between human beings is no exception.
Under the constancy or stability of relations between people are hiding subtle mechanisms of periodic or wave-like behavior. This circumstance is crucial for the analysis of stability of human groups. In particular, it can serve as a conceptual basis for the qualitative mathematical modeling of the human interaction processes. Also such an approach is important from the standpoint of the quantitative study of modes of conflicts between people, their competition and leadership.
Interactions between people are the only mechanism that can help us understand the nuances of their activities, as well as ways to maintain their group stability. It is also a key for understanding performance and risk related problems of design teams.
In this paper are considered qualitative mathematical models of the dynamics of the human group behavior in the form of the system of nonlinear differential equations whose solutions for sustainable human relations are periodic functions of time.
As a basis of mathematical models are serving the concepts of mutual concessions and pressures of people, their profits and losses.
The work consists of several parts. The first part deals with the qualitative mathematical models of interaction between two people in terms of their mutual benefits, concessions and losses.
To read entire paper (click here)
 About the Author Pavel Barseghyan, PhD Author Dr. Pavel Barseghyan is Vice President of Research for Numetrics Management Systems, has over 40 years experience in academia, the electronics industry, the EDA industry and Project Management Research. Also he is the founder of Systemic PM, LLC, a project management company. Prior to joining Numetrics, Dr. Barseghyan worked as an R&D manager at Infinite Technology Corp. in Texas. He was also a founder and the president of an EDA start-up company, DAN Technologies, Ltd. that focused on high-level chip design planning and RTL structural floor planning technologies. Before joining ITC, Dr. Barseghyan was head of the Electronic Design and CAD department at the State Engineering University of Armenia, focusing on development of the Theory of Massively Interconnected Systems and its applications to electronic design. During the period of 1975-1990, he was also a member of the University Educational Policy Commission for Electronic Design and CAD Direction in the Higher Education Ministry of the former USSR. Earlier in his career he was a senior researcher in Yerevan Research and Development Institute of Mathematical Machines (Armenia). He is an author of nine monographs and textbooks and more than 100 scientific articles in the area of electronic design and EDA methodologies, and tools development. More than 10 Ph.D. degrees have been awarded under his supervision. Dr. Barseghyan holds an MS in Electrical Engineering (1967) and Ph.D. (1972) and Doctor of Technical Sciences (1990) in Computer Engineering from Yerevan Polytechnic Institute (Armenia). Pavel can be contacted at pavel@systemicpm.com. |
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