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NONLINEAR DYNAMICS AND NON SMOOTH IN A MODEL OF SUSTAINABLE DEVELOPMENT WITH ECONOMIC EXCHANGE BETWEEN TWO SOCIETIES

Granada, H. A.; Amador, J. A.; Olivar, G.;

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Mathematical modeling in resources management has been growing in recent years, but this generally describes and studies the dynamic interaction between isolated populations and the ecological complexes to find conditions where human and natural resources coexist in a sustainable scheme. This paper will present a new proposal on two communities that are linked in a scenario of economic exchange, where trading conditions depend on the state variables and parameter values. When several communities are considered and several trading strategies are apply we get rich dynamic and nonlinear phenomena. The analysis concluded that for a sustainable scheme, some parameters must be managed inside the system in order to obtain non-trivial equilibrium or oscillatory behavior between the state variables.

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Palavras-chave: Sustainable Development, Economic Exchange, Nonlinear Dynamics,

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DOI: 10.5151/meceng-wccm2012-19341

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Como citar:

Granada, H. A.; Amador, J. A.; Olivar, G.; "NONLINEAR DYNAMICS AND NON SMOOTH IN A MODEL OF SUSTAINABLE DEVELOPMENT WITH ECONOMIC EXCHANGE BETWEEN TWO SOCIETIES", p. 3347-3357 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-19341

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