NDLI: On the Existence of a Spectrum of Equilibria in Adjustment Processes with Persistent Randomness. A Bak-Sneppen Evolution Model Approach

Content Provider	IEEE Xplore Digital Library
Author	Anyouzoa, A.G.N. Mbala, A.
Copyright Year	2007
Description	Author affiliation: Global InfoTek, Inc., Reston (Anyouzoa, A.G.N.)
Abstract	Most distributed systems and systems depending on their sensing of their surroundings operate under a great deal of uncertainty from many sources. The dynamic behavior of such systems can assume very complex forms [1] inducing complex dynamics that are challenging to observe and control. Their stability analysis in general depends upon the system underlying design and implementation because of the evolutionary character of the models upon which they are built. The nonlinearity of circular causations and feedback effects of their internal dynamics moves the center of mass or energy of such systems from one accumulation point to another within a set when the system is supposed to have achieved its thermodynamic equilibrium. In this paper, we prove the existence of such set and provide a cross-fertilization approach using tools from Physics and Biology to show how one can practically approach the equilibria of this class of systems in their full dynamic complexity. To do this, and to show the originality of our technique, we depart from Freidlin and Wentzell technique that is considered to be the standard in game theory to tackle similar problems, and apply our cross-fertilization technique to an implementation of an extension of the Olafsson's model. We then show the limitation of Freidlin and Wetzell technique and devise our stability analysis method using the same baseline. Stability analysis from which we prove the existence of a spectrum of equilibria for such systems.
Starting Page	312
Ending Page	320
File Size	741839
Page Count	9
File Format	PDF
ISBN	9780769530277
DOI	10.1109/IAT.2007.40
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-11-02
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Nonlinear dynamical systems Stability analysis Evolution (biology) Uncertainty Control systems Feedback Thermodynamics Physics Systems biology Game theory
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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