Topological Methods for Social and Behavioral Systems

Casti, J.L. (1982). Topological Methods for Social and Behavioral Systems. IIASA Research Report (Reprint). IIASA, Laxenburg, Austria: RR-83-003. Reprinted from International Journal of General Systems, 8(4):187-210 [1982] 10.1080/03081078208934856.

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Abstract

Methods based in algebra and geometry are introduced for the mathematical formulation of problems in the social and behavioral sciences. Specifically, the paper introduces the main concepts of singularity theory, catastrophe theory and q-analysis for the characterization of the global structure of social systems. Applications in urban land development, electric power generation and international conflict are given to illustrate the methodology. The paper concludes with an outline for a general mathematical theory of surprises, together with a program for investigating the systemic property of resilience.

Item Type: Monograph (IIASA Research Report (Reprint))
Research Programs: General Research (GEN)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 01:50
Last Modified: 27 Aug 2021 17:10
URI: https://pure.iiasa.ac.at/1864

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