Action-Amplitude Approach to Controlled Entropic Self-Organization

Motivated by the notion of perceptual error, as a core concept of the perceptual control theory, we propose an action-amplitude model for controlled entropic self-organization (CESO). We present several aspects of this development that illustrate its explanatory power: (i) a physical view of partiti...

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Main Authors:	Vladimir Ivancevic, Darryn Reid, Jason Scholz
Format:	Article
Language:	English
Published:	MDPI AG 2014-05-01
Series:	Entropy
Subjects:	controlled self-organization entropy path integrals Kähler–Ricci flow Fokker–Planck equation computer simulation
Online Access:	http://www.mdpi.com/1099-4300/16/5/2699

id	doaj-2e1e0d04f7df4ef0bcb6664aa5421bb7
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spelling	doaj-2e1e0d04f7df4ef0bcb6664aa5421bb72020-11-24T21:03:03ZengMDPI AGEntropy1099-43002014-05-011652699271210.3390/e16052699e16052699Action-Amplitude Approach to Controlled Entropic Self-OrganizationVladimir Ivancevic0Darryn Reid1Jason Scholz2Command and Control, Joint & Operations Analysis Division, Defence Science & TechnologyOrganisation, Adelaide SA 5111, AustraliaCommand and Control, Joint & Operations Analysis Division, Defence Science & TechnologyOrganisation, Adelaide SA 5111, AustraliaCommand and Control, Joint & Operations Analysis Division, Defence Science & TechnologyOrganisation, Adelaide SA 5111, AustraliaMotivated by the notion of perceptual error, as a core concept of the perceptual control theory, we propose an action-amplitude model for controlled entropic self-organization (CESO). We present several aspects of this development that illustrate its explanatory power: (i) a physical view of partition functions and path integrals, as well as entropy and phase transitions; (ii) a global view of functional compositions and commutative diagrams; (iii) a local geometric view of the Kähler–Ricci flow and time-evolution of entropic action; and (iv) a computational view using various path-integral approximations.http://www.mdpi.com/1099-4300/16/5/2699controlled self-organizationentropypath integralsKähler–Ricci flowFokker–Planck equationcomputer simulation
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Vladimir Ivancevic Darryn Reid Jason Scholz
spellingShingle	Vladimir Ivancevic Darryn Reid Jason Scholz Action-Amplitude Approach to Controlled Entropic Self-Organization Entropy controlled self-organization entropy path integrals Kähler–Ricci flow Fokker–Planck equation computer simulation
author_facet	Vladimir Ivancevic Darryn Reid Jason Scholz
author_sort	Vladimir Ivancevic
title	Action-Amplitude Approach to Controlled Entropic Self-Organization
title_short	Action-Amplitude Approach to Controlled Entropic Self-Organization
title_full	Action-Amplitude Approach to Controlled Entropic Self-Organization
title_fullStr	Action-Amplitude Approach to Controlled Entropic Self-Organization
title_full_unstemmed	Action-Amplitude Approach to Controlled Entropic Self-Organization
title_sort	action-amplitude approach to controlled entropic self-organization
publisher	MDPI AG
series	Entropy
issn	1099-4300
publishDate	2014-05-01
description	Motivated by the notion of perceptual error, as a core concept of the perceptual control theory, we propose an action-amplitude model for controlled entropic self-organization (CESO). We present several aspects of this development that illustrate its explanatory power: (i) a physical view of partition functions and path integrals, as well as entropy and phase transitions; (ii) a global view of functional compositions and commutative diagrams; (iii) a local geometric view of the Kähler–Ricci flow and time-evolution of entropic action; and (iv) a computational view using various path-integral approximations.
topic	controlled self-organization entropy path integrals Kähler–Ricci flow Fokker–Planck equation computer simulation
url	http://www.mdpi.com/1099-4300/16/5/2699
work_keys_str_mv	AT vladimirivancevic actionamplitudeapproachtocontrolledentropicselforganization AT darrynreid actionamplitudeapproachtocontrolledentropicselforganization AT jasonscholz actionamplitudeapproachtocontrolledentropicselforganization
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Action-Amplitude Approach to Controlled Entropic Self-Organization

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