{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,30]],"date-time":"2025-12-30T09:00:40Z","timestamp":1767085240208,"version":"3.41.2"},"reference-count":38,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,8,4]],"date-time":"2021-08-04T00:00:00Z","timestamp":1628035200000},"content-version":"vor","delay-in-days":215,"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":["11772002"],"award-info":[{"award-number":["11772002"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012490","name":"North Minzu University","doi-asserted-by":"publisher","award":["ZDZX201902","YCX20101"],"award-info":[{"award-number":["ZDZX201902","YCX20101"]}],"id":[{"id":"10.13039\/501100012490","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>In this paper, the dynamic behavior and control of chaotic systems with hidden attractors are studied. Firstly, a class of autonomous chaotic systems without the equilibrium point is proposed. Secondly, quantitative analysis methods are applied to explore the dynamic behavior of the new chaotic systems. Then, the Hamilton energy function of the new system is calculated by the Helmholtz theorem and the energy feedback controller is designed. Finally, the effectiveness of the controller is verified by numerical simulations. Compared with the line feedback control, the control effect of Hamilton energy control is better.<\/jats:p>","DOI":"10.1155\/2021\/5530557","type":"journal-article","created":{"date-parts":[[2021,8,4]],"date-time":"2021-08-04T23:50:05Z","timestamp":1628121005000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Hamilton Energy Control for the Chaotic System with Hidden Attractors"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2829-7593","authenticated-orcid":false,"given":"Meibo","family":"Wang","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2810-586X","authenticated-orcid":false,"given":"Shaojuan","family":"Ma","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,8,4]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-46629-0"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1142\/s0218127413300024"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2016.05.002"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.7498\/aps.67.20172354"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.7498\/aps.65.180501"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1140\/epjst\/e2015-02472-1"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2012.05.016"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1140\/epjst\/e2015-02471-2"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-014-1292-6"},{"key":"e_1_2_9_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2015.04.007"},{"key":"e_1_2_9_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2014.08.001"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.1002\/2014GL061829"},{"key":"e_1_2_9_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aeue.2018.03.037"},{"key":"e_1_2_9_14_2","doi-asserted-by":"publisher","DOI":"10.1140\/epjst\/e2015-02474-y"},{"key":"e_1_2_9_15_2","doi-asserted-by":"publisher","DOI":"10.1140\/epjst\/e2015-02484-9"},{"key":"e_1_2_9_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-55598-0_15"},{"key":"e_1_2_9_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2018.04.020"},{"key":"e_1_2_9_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2018.07.011"},{"key":"e_1_2_9_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2020.105341"},{"key":"e_1_2_9_20_2","first-page":"2197","article-title":"Two-Memristor-Based chaotic system with infinite coexisting attractors","volume":"68","author":"Lai Q.","year":"2020","journal-title":"IEEE Transactions on Circuits and Systems II-Express Briefs"},{"key":"e_1_2_9_21_2","doi-asserted-by":"publisher","DOI":"10.1142\/s0218127421500139"},{"key":"e_1_2_9_22_2","doi-asserted-by":"publisher","DOI":"10.1049\/el.2020.1630"},{"key":"e_1_2_9_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2019.03.008"},{"key":"e_1_2_9_24_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2020.109727"},{"key":"e_1_2_9_25_2","doi-asserted-by":"publisher","DOI":"10.1140\/epjst\/e2020-900195-4"},{"key":"e_1_2_9_26_2","article-title":"Mathematical methods of classical mechanics","volume":"49","author":"Arnold V. I.","year":"1983","journal-title":"Advances in Mathematics"},{"volume-title":"Generalized Hamiltonian Systems Theory and its Applications","year":"1994","author":"Li J. B.","key":"e_1_2_9_27_2"},{"key":"e_1_2_9_28_2","doi-asserted-by":"publisher","DOI":"10.1142\/s0218127401002778"},{"key":"e_1_2_9_29_2","doi-asserted-by":"publisher","DOI":"10.1103\/Physreve.69.011606"},{"key":"e_1_2_9_30_2","doi-asserted-by":"publisher","DOI":"10.1103\/physreve.74.011905"},{"key":"e_1_2_9_31_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2007.07.050"},{"key":"e_1_2_9_32_2","first-page":"657","article-title":"Energy cost reduction in the synchronization of a pair of nonidentical coupled Hindmarsh-Rose neurons","volume":"22","author":"Moujahid A.","year":"2012","journal-title":"Physics Reports"},{"key":"e_1_2_9_33_2","doi-asserted-by":"publisher","DOI":"10.1088\/1674-1056\/24\/12\/128710"},{"key":"e_1_2_9_34_2","doi-asserted-by":"publisher","DOI":"10.7498\/aps.65.240501"},{"key":"e_1_2_9_35_2","doi-asserted-by":"publisher","DOI":"10.1119\/1.14521"},{"key":"e_1_2_9_36_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-016-2646-z"},{"key":"e_1_2_9_37_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.4983469"},{"key":"e_1_2_9_38_2","first-page":"166","article-title":"Multi-sensor control based on Cauchy-Schwarz divergence","volume":"278","author":"Wu S.","year":"2020","journal-title":"Computer Technology and Development"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/5530557.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/5530557.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2021\/5530557","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T21:14:39Z","timestamp":1723238079000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2021\/5530557"}},"subtitle":[],"editor":[{"given":"Xinzhi","family":"Liu","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":38,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1155\/2021\/5530557"],"URL":"https:\/\/doi.org\/10.1155\/2021\/5530557","archive":["Portico"],"relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2021,1]]},"assertion":[{"value":"2021-03-02","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-07-27","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-08-04","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"5530557"}}