2225 21 2235 3 4460 document 2235 WP-83-087.pdf application/pdf d7e4564dab4f0f62da35d37373323378 MD5 1306874 2016-01-15 01:53:09 https://pure.iiasa.ac.at/id/eprint/2225/1/WP-83-087.pdf 2225 1 1 text en public

WP-83-087.pdf

22 2f5019839aa262557ac639fa870bd2b66cea2c41 21986 1 33718 document 21986 indexcodes.txt text/x-c++ c7f4af98cd45b5ede2672046ddadedb5 MD5 9202 2016-01-15 16:11:53 https://pure.iiasa.ac.at/id/eprint/2225/2/indexcodes.txt 2225 2 2 text/x-c++ other Generate index codes conversion from text to indexcodes en public

indexcodes.txt

http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2235 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2235 http://eprints.org/relation/isIndexCodesVersionOf https://pure.iiasa.ac.at/id/document/2235 21987 2 33719 document 21987 lightbox.jpg image/png 690b23ae45380e4a03caaccc31cabc1a MD5 17481 2016-01-15 16:11:58 https://pure.iiasa.ac.at/id/eprint/2225/3/lightbox.jpg 2225 3 3 image/png other Thumbnails conversion from text to thumbnail_lightbox en public

lightbox.jpg

http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2235 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2235 http://eprints.org/relation/islightboxThumbnailVersionOf https://pure.iiasa.ac.at/id/document/2235 21988 2 33720 document 21988 preview.jpg image/png b37acefd4827a7e9828c262de62063a3 MD5 7374 2016-01-15 16:11:59 https://pure.iiasa.ac.at/id/eprint/2225/4/preview.jpg 2225 4 4 image/png other Thumbnails conversion from text to thumbnail_preview en public

preview.jpg

http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2235 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2235 http://eprints.org/relation/ispreviewThumbnailVersionOf https://pure.iiasa.ac.at/id/document/2235 21989 2 33721 document 21989 medium.jpg image/png c9ed19dc5d1df3ab09e7a1e57bca2927 MD5 1916 2016-01-15 16:12:00 https://pure.iiasa.ac.at/id/eprint/2225/5/medium.jpg 2225 5 5 image/png other Thumbnails conversion from text to thumbnail_medium en public

medium.jpg

http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2235 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2235 http://eprints.org/relation/ismediumThumbnailVersionOf https://pure.iiasa.ac.at/id/document/2235 21990 2 33722 document 21990 small.jpg image/png 72ec241579e4e8b85083931bdaca1145 MD5 917 2016-01-15 16:12:01 https://pure.iiasa.ac.at/id/eprint/2225/6/small.jpg 2225 6 6 image/png other Thumbnails conversion from text to thumbnail_small en public

small.jpg

http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2235 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2235 http://eprints.org/relation/issmallThumbnailVersionOf https://pure.iiasa.ac.at/id/document/2235 82519 2 231621 document 82519 WP-83-087.pdf application/pdf 6bcb256be5fdd90c4bdb0f87b5216400 MD5 2005643 2018-03-14 10:16:59 https://pure.iiasa.ac.at/id/eprint/2225/7/WP-83-087.pdf 2225 7 7 application/pdf other Coversheet version en public

WP-83-087.pdf

http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2235 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2235 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/2235 archive 351 disk0/00/00/22/25 2016-01-15 01:53:09 2021-08-27 17:11:21 2016-01-15 01:53:09 monograph show 3 Casti J.L. 974 pub iis_mod prog_env It is often observed in practice that the essential behavior of mathematical models involving many variables can be captured by a much smaller model involving only a few variables. Further, the simpler model very often displays oscillatory behavior of some sort, especially when critical problem parameters are varied in certain ranges. This paper attempts to supply arguments from the theory of dynamical systems for why oscillatory behavior is so frequently observed and to show how such behavior emerges as a natural consequence of focusing attention upon so-called "essential" variables in the process of model simplification. The relationship of model simplification and oscillatory behavior is shown to be inextricably intertwined with the problems of bifurcation and catastrophe in that the oscillations emerge when critical system parameters, i.e., those retained in the simple model, pass through critical regions. The importance of the simplification, oscillation, bifurcation pattern is demonstrated here by consideration of several examples from the environmental, economic, and urban areas. 1983-08 published WP-83-087 WP-83-087 1179 public working_paper IIASA, Laxenburg, Austria 54 FALSE info:eu-repo/semantics/book