{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,10]],"date-time":"2025-11-10T13:58:49Z","timestamp":1762783129581,"version":"3.44.0"},"publisher-location":"New York, NY, USA","reference-count":50,"publisher":"ACM","license":[{"start":{"date-parts":[[2024,7,16]],"date-time":"2024-07-16T00:00:00Z","timestamp":1721088000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"funder":[{"name":"National Natural Science Foundation of China","award":["12101032"],"award-info":[{"award-number":["12101032"]}]},{"DOI":"10.13039\/501100006374","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12326353"],"award-info":[{"award-number":["12326353"]}],"id":[{"id":"10.13039\/501100006374","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2024,7,16]]},"DOI":"10.1145\/3666000.3669689","type":"proceedings-article","created":{"date-parts":[[2024,7,15]],"date-time":"2024-07-15T13:18:51Z","timestamp":1721049531000},"page":"180-187","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":3,"title":["Jacobi Stability Analysis for Systems of ODEs Using Symbolic Computation"],"prefix":"10.1145","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0541-0562","authenticated-orcid":false,"given":"Bo","family":"Huang","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Beihang University, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7478-275X","authenticated-orcid":false,"given":"Dongming","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Artificial Intelligence, Beihang University, China and LIP6-CNRS, Sorbonne Universit\u00e9, France"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9032-1443","authenticated-orcid":false,"given":"Jing","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Physics, Guangxi Minzu University, China"}]}],"member":"320","published-online":{"date-parts":[[2024,7,16]]},"reference":[{"key":"e_1_3_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0308265100"},{"key":"e_1_3_2_1_2_1","first-page":"455","article-title":"Invariant planes and periodic oscillations in the May\u2013Leonard asymmetric model","volume":"76","author":"Antonov Valery","year":"2016","unstructured":"Valery Antonov, Diana Doli\u0107anin, Valery\u00a0G. Romanovski, and J\u00e1nos T\u00f3th. 2016. Invariant planes and periodic oscillations in the May\u2013Leonard asymmetric model. MATCH Commun. Math. Comput. Chem. 76 (2016), 455\u2013474.","journal-title":"MATCH Commun. Math. Comput. Chem."},{"volume-title":"Quantifier Elimination and Cylindrical Algebraic Decomposition","author":"Basu Saugata","key":"e_1_3_2_1_3_1","unstructured":"Saugata Basu, Richard Pollack, and Marie\u00a0F. Roy. 1998. A new algorithm to find a point in every cell defined by a family of polynomials. In Quantifier Elimination and Cylindrical Algebraic Decomposition. Springer-Verlag."},{"key":"e_1_3_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.4310\/ATMP.2012.v16.n4.a2"},{"key":"e_1_3_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1134\/S0361768815020048"},{"key":"e_1_3_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11786-011-0093-2"},{"key":"e_1_3_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2019.07.008"},{"key":"e_1_3_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1145\/968708.968710"},{"volume-title":"Proceedings of the 2006 International Workshop on Computer Algebra in Scientific Computing. 89\u2013100","author":"W.","key":"e_1_3_2_1_9_1","unstructured":"Christopher\u00a0W. Brown and Christian Gross. 2006. Efficient preprocessing methods for quantifier elimination. In Proceedings of the 2006 International Workshop on Computer Algebra in Scientific Computing. 89\u2013100."},{"key":"e_1_3_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01474603"},{"key":"e_1_3_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1142\/S021812741350154X"},{"key":"e_1_3_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2015.11.008"},{"key":"e_1_3_2_1_13_1","first-page":"206","article-title":"Sur la geometrie d\u2019un systeme d\u2019equations differentielles du second ordre","volume":"63","author":"Chern Shiing-Shen","year":"1939","unstructured":"Shiing-Shen Chern. 1939. Sur la geometrie d\u2019un systeme d\u2019equations differentielles du second ordre. Bull. Sci. Math. 63 (1939), 206\u2013212.","journal-title":"Bull. Sci. Math."},{"key":"e_1_3_2_1_14_1","series-title":"Lecture Notes In Computer Science","volume-title":"Quantifier elimination for the elementary theory of real closed fields by cylindrical algebraic decomposition","author":"Collins E.","unstructured":"George\u00a0E. Collins. 1975. Quantifier elimination for the elementary theory of real closed fields by cylindrical algebraic decomposition. In Lecture Notes In Computer Science. Springer-Verlag, Berlin, 134\u2013183. Vol. 33."},{"key":"e_1_3_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0747-7171(08)80152-6"},{"key":"e_1_3_2_1_16_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11786-007-0003-9"},{"key":"e_1_3_2_1_17_1","doi-asserted-by":"crossref","unstructured":"Peter L.\u00a0Antonelli (ed.). 2003. Handbook of Finsler Geometry. Kluwer Academic Dordrecht.","DOI":"10.1007\/978-94-007-0942-3"},{"key":"e_1_3_2_1_18_1","doi-asserted-by":"publisher","DOI":"10.1142\/S0219887816500985"},{"key":"e_1_3_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127417500560"},{"key":"e_1_3_2_1_20_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2010.04.024"},{"key":"e_1_3_2_1_21_1","doi-asserted-by":"publisher","DOI":"10.1142\/S0219887815500814"},{"key":"e_1_3_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.1142\/S0219887816500146"},{"key":"e_1_3_2_1_23_1","doi-asserted-by":"publisher","DOI":"10.1145\/96877.96943"},{"key":"e_1_3_2_1_24_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2011.05.014"},{"key":"e_1_3_2_1_25_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1997.0121"},{"key":"e_1_3_2_1_26_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2014.09.039"},{"key":"e_1_3_2_1_27_1","volume-title":"Symbolic computation for the qualitative theory of differential equations. Acta Math. Sci. 42B","author":"Huang Bo","year":"2022","unstructured":"Bo Huang, Wei Niu, and Dong\u00a0M. Wang. 2022. Symbolic computation for the qualitative theory of differential equations. Acta Math. Sci. 42B (2022), 2478\u20132504."},{"key":"e_1_3_2_1_28_1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127419501396"},{"key":"e_1_3_2_1_29_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1999.0353"},{"key":"e_1_3_2_1_30_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01474602"},{"key":"e_1_3_2_1_31_1","doi-asserted-by":"publisher","DOI":"10.1140\/epjc\/s10052-016-4148-z"},{"volume-title":"The Theory of Matrices: With Applications","author":"Lancaster Peter","key":"e_1_3_2_1_32_1","unstructured":"Peter Lancaster and Miron Tismenetsky. 1985. The Theory of Matrices: With Applications. Academic Press, London."},{"key":"e_1_3_2_1_33_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2007.01.007"},{"key":"e_1_3_2_1_34_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2016.11.019"},{"key":"e_1_3_2_1_35_1","doi-asserted-by":"publisher","DOI":"10.1145\/309831.309892"},{"volume-title":"Ordinary Differential Equations","author":"Miller K.","key":"e_1_3_2_1_36_1","unstructured":"Richard\u00a0K. Miller and Anthony\u00a0N. Michel. 1982. Ordinary Differential Equations. Academic Press, New York London."},{"key":"e_1_3_2_1_37_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11786-007-0039-x"},{"key":"e_1_3_2_1_38_1","doi-asserted-by":"publisher","DOI":"10.1063\/1.1668896"},{"volume-title":"The Center and Cyclicity Problems: A Computational Algebra Approach","author":"Romanovski G.","key":"e_1_3_2_1_39_1","unstructured":"Valery\u00a0G. Romanovski and Douglas\u00a0S. Shafer. 2009. The Center and Cyclicity Problems: A Computational Algebra Approach. Birkh\u00e4user, Boston."},{"key":"e_1_3_2_1_40_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2005.02.061"},{"key":"e_1_3_2_1_41_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2004.12.012"},{"key":"e_1_3_2_1_42_1","doi-asserted-by":"publisher","DOI":"10.1145\/1837934.1837952"},{"key":"e_1_3_2_1_43_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11786-008-0067-1"},{"volume-title":"A Decision Method for Elementary Algebra and Geometry","author":"Tarski Alfred","key":"e_1_3_2_1_44_1","unstructured":"Alfred Tarski. 1951. A Decision Method for Elementary Algebra and Geometry (second ed.). Univ. of California Press, Berkeley."},{"key":"e_1_3_2_1_45_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0747-7171(08)80127-7"},{"volume-title":"Proceedings of the 2005 International Symposium on Symbolic and Algebraic Computation. 354\u2013361","author":"M.","key":"e_1_3_2_1_46_1","unstructured":"Dong\u00a0M. Wang and Bi\u00a0C. Xia. 2005. Stability analysis of biological systems with real solution classification. In Proceedings of the 2005 International Symposium on Symbolic and Algebraic Computation. 354\u2013361."},{"key":"e_1_3_2_1_47_1","doi-asserted-by":"publisher","DOI":"10.1145\/190347.190425"},{"key":"e_1_3_2_1_48_1","doi-asserted-by":"publisher","DOI":"10.1007\/s002000050055"},{"key":"e_1_3_2_1_49_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02713938"},{"volume-title":"Algorithmic Algebra and Logic \u2013 Proceedings of the A3L 2005","author":"Yang Lu","key":"e_1_3_2_1_50_1","unstructured":"Lu Yang and Bi\u00a0C. Xia. 2005. Real solution classifications of parametric semi-algebraic systems. In: Algorithmic Algebra and Logic \u2013 Proceedings of the A3L 2005 (A. Dolzmann, A. Seidl, and T. Sturm, eds.), Herstellung und Verlag, Norderstedt, 281\u2013289."}],"event":{"name":"ISSAC '24: International Symposium on Symbolic and Algebraic Computation","sponsor":["SIGSAM ACM Special Interest Group on Symbolic and Algebraic Manipulation"],"location":"Raleigh NC USA","acronym":"ISSAC '24"},"container-title":["Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3666000.3669689","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3666000.3669689","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,9,23]],"date-time":"2025-09-23T00:53:00Z","timestamp":1758588780000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3666000.3669689"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,7,16]]},"references-count":50,"alternative-id":["10.1145\/3666000.3669689","10.1145\/3666000"],"URL":"https:\/\/doi.org\/10.1145\/3666000.3669689","relation":{},"subject":[],"published":{"date-parts":[[2024,7,16]]},"assertion":[{"value":"2024-07-16","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}