{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T02:07:56Z","timestamp":1740103676415,"version":"3.37.3"},"reference-count":24,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,4,10]],"date-time":"2020-04-10T00:00:00Z","timestamp":1586476800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11602059","11872154","2018JJA110046"],"award-info":[{"award-number":["11602059","11872154","2018JJA110046"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11602059","11872154","2018JJA110046"],"award-info":[{"award-number":["11602059","11872154","2018JJA110046"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004607","name":"Natural Science Foundation of Guangxi Province","doi-asserted-by":"publisher","award":["11602059","11872154","2018JJA110046"],"award-info":[{"award-number":["11602059","11872154","2018JJA110046"]}],"id":[{"id":"10.13039\/501100004607","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,4,10]]},"abstract":"<jats:p>The stability of grazing bifurcation is lost in three ways through the local analysis of the near-grazing dynamics using the classical concept of discontinuity mappings in the two-degree-of-freedom vibroimpact system with symmetrical constraints. For this instability problem, a control strategy for the stability of grazing bifurcation is presented by controlling the persistence of local attractors near the grazing trajectory in this vibroimpact system with symmetrical constraints. Discrete-in-time feedback controllers designed on two Poincare sections are employed to retain the existence of an attractor near the grazing trajectory. The implementation relies on the stability criterion under which a local attractor persists near a grazing trajectory. Based on the stability criterion, the control region of the two parameters is obtained and the control strategy for the persistence of near-grazing attractors is designed accordingly. Especially, the chaos near codimension-two grazing bifurcation points was controlled by the control strategy. In the end, the results of numerical simulation are used to verify the feasibility of the control method.<\/jats:p>","DOI":"10.1155\/2020\/7893451","type":"journal-article","created":{"date-parts":[[2020,4,10]],"date-time":"2020-04-10T23:34:23Z","timestamp":1586561663000},"page":"1-12","source":"Crossref","is-referenced-by-count":1,"title":["Control of Near-Grazing Dynamics in the Two-Degree-of-Freedom Vibroimpact System with Symmetrical Constraints"],"prefix":"10.1155","volume":"2020","author":[{"given":"Zihan","family":"Wang","sequence":"first","affiliation":[{"name":"College of Mathematics and Information Science, Guangxi University, Nanning 530004, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9560-0399","authenticated-orcid":true,"given":"Jieqiong","family":"Xu","sequence":"additional","affiliation":[{"name":"College of Mathematics and Information Science, Guangxi University, Nanning 530004, China"}]},{"given":"Shuai","family":"Wu","sequence":"additional","affiliation":[{"name":"College of Mathematics and Information Science, Guangxi University, Nanning 530004, China"}]},{"given":"Quan","family":"Yuan","sequence":"additional","affiliation":[{"name":"College of Mathematics and Information Science, Guangxi University, Nanning 530004, China"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-460x(91)90592-8"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1103\/physreve.55.266"},{"year":"2008","key":"3"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2011.05.001"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1142\/s0218127412501106"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1103\/physreve.79.037201"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/23\/11\/001"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2011.05.003"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1997.0069"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2006.01.006"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1142\/s0218127406015015"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.1994.0048"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1115\/1.2338658"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-015-2266-z"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1137\/080732377"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijmecsci.2017.02.001"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-017-3674-z"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2005.02.008"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/19\/2\/009"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2005.1516"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.1252"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.1551"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1007\/s10483-019-2403-6"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-016-3103-8"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/7893451.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/7893451.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/7893451.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,10]],"date-time":"2020-04-10T23:34:26Z","timestamp":1586561666000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/complexity\/2020\/7893451\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,4,10]]},"references-count":24,"alternative-id":["7893451","7893451"],"URL":"https:\/\/doi.org\/10.1155\/2020\/7893451","relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2020,4,10]]}}}