Title :
Non-linear and non-smooth dynamics in a sustainable development system
Author :
Olivar, Gerard ; Amador, Jorge
Author_Institution :
Dept. of Electr. & Electron. Eng. & Comput. Sci., Univ. Nac. de Colombia sede Manizales, Manizales, Colombia
Abstract :
This paper presents the dynamic interaction between natural resource and population, and also introduce technological progress as an extra dynamic equation. Hopf, saddle-node, and two-parameter bifurcation were found in the planar system, and chaotic behaviour appeared in the 3D system. Non-smooth phenomena such as sliding and stable pseudo equilibrium appeared when smooth systems were replaced by non-smooth system.
Keywords :
bifurcation; sustainable development; 3D system; Hopf bifurcation; chaotic behaviour; natural resources; non-smooth dynamics; nonlinear dynamics; saddle-node bifurcation; stable pseudo equilibrium; sustainable development system; two-parameter bifurcation; Bifurcation; Biological system modeling; Dynamic scheduling; Limit-cycles; Mathematical model; Stability analysis; Sustainable development;
Conference_Titel :
Circuits and Systems (LASCAS), 2011 IEEE Second Latin American Symposium on
Conference_Location :
Bogata
Print_ISBN :
978-1-4244-9484-2
DOI :
10.1109/LASCAS.2011.5750298
