{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T09:52:32Z","timestamp":1777715552541,"version":"3.51.4"},"reference-count":16,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[1998,1,1]],"date-time":"1998-01-01T00:00:00Z","timestamp":883612800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["The International Journal of Robotics Research"],"published-print":{"date-parts":[[1998,1]]},"abstract":"<jats:p>A stability analysis is performed for the planar two-spring system using catastrophe theory. Basic elements of catastrophe theory are outlined and applied to the two-spring system to give catastrophe locus plots showing where a change in stability occurs. The method used for the two-spring yields a stability analysis without having to solve the inverse analysis. The inverse analysis for the two-spring system is used to illustrate system equilibrium positions before, dur ing, and after a change in stability.<\/jats:p>","DOI":"10.1177\/027836499801700108","type":"journal-article","created":{"date-parts":[[2007,3,11]],"date-time":"2007-03-11T03:05:13Z","timestamp":1173582313000},"page":"89-101","source":"Crossref","is-referenced-by-count":12,"title":["Catastrophe Analysis of the Planar Two-Spring Mechanism"],"prefix":"10.1177","volume":"17","author":[{"given":"R.","family":"Hines","sequence":"first","affiliation":[{"name":"Department of Mechanical Engineering University of Florida Gainesville, Florida 32611 USA"}]},{"given":"D.","family":"Marsh","sequence":"additional","affiliation":[{"name":"Department of Mathematics Napier University Edinburgh EH16 6XZ United Kingdom"}]},{"given":"J.","family":"Duffy","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering University of Florida Gainesville, Florida 32611 USA"}]}],"member":"179","published-online":{"date-parts":[[1998,1,1]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1115\/1.2826136"},{"key":"atypb2","volume-title":"Catastrophe Theory for Scientists and Engineers","author":"Gilmore, R.","year":"1981"},{"key":"atypb3","volume-title":"A novel theory for simultaneously regulating force and displacement. 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