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In this analysis, the forward and backward shifts can have different Jacobi stability structures in the nonequilibrium region. Moreover, the bifurcation curve of the catastrophic shift can be interpreted geometrically, as the solution curve where the nonlinear connection and the deviation curvature become zero. KCC analysis also shows that even if the catastrophic pattern itself is similar, the stability structure in the nonequilibrium region is different in some cases, from the viewpoint of the Douglas tensor.<\/jats:p>","DOI":"10.1142\/s0218127420300323","type":"journal-article","created":{"date-parts":[[2020,9,22]],"date-time":"2020-09-22T10:04:47Z","timestamp":1600769087000},"page":"2030032","source":"Crossref","is-referenced-by-count":8,"title":["KCC Analysis of a One-Dimensional System During Catastrophic Shift of the Hill Function: Douglas Tensor in the Nonequilibrium Region"],"prefix":"10.1142","volume":"30","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9394-3187","authenticated-orcid":false,"given":"Kazuhito","family":"Yamasaki","sequence":"first","affiliation":[{"name":"Department of Planetology, Graduate School of Science, Kobe University, Nada, Kobe 657-8501, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Takahiro","family":"Yajima","sequence":"additional","affiliation":[{"name":"Department of Mechanical Systems Engineering, Faculty of Engineering, Utsunomiya University, Utsunomiya, 321-8585, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2020,9,21]]},"reference":[{"key":"S0218127420300323BIB001","doi-asserted-by":"publisher","DOI":"10.1080\/1726037X.2012.10698604"},{"key":"S0218127420300323BIB002","doi-asserted-by":"publisher","DOI":"10.1080\/1726037X.2012.10698621"},{"key":"S0218127420300323BIB003","first-page":"131","volume":"12","author":"Abolghasem H.","year":"2013","journal-title":"Int. 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