{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T06:02:38Z","timestamp":1773295358736,"version":"3.50.1"},"reference-count":50,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11832002"],"award-info":[{"award-number":["11832002"]}],"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":["12072201"],"award-info":[{"award-number":["12072201"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2024,3,30]]},"abstract":"<jats:p> This paper investigates the nonlinear bifurcation and chaos characteristics of piezoelectric composite lattice sandwich plates at 1:3 internal resonance. The nonlinear vibration partial differential equation is first discretized to become an ordinary differential equation by applying the Galerkin method. The main resonance modulation equations and the parametric resonance for the external excitation frequency that is close to the system\u2019s second-order modal frequency are then obtained by using the multiscale method. The Newton\u2013Raphson method is subsequently applied to obtain the bifurcation diagram of the steady-state equilibrium of modulation equation with varying system parameters. The equilibrium stability is finally analyzed. We confirm the existence of static bifurcation such as saddle-node bifurcation, pitchfork bifurcation, and Hopf dynamic bifurcation. A detailed analysis is also conducted on the complex nonlinear jump phenomenon caused by the presence of multiple nonlinear steady-state solution regions. In the dynamic Hopf bifurcation interval, the fourth-order Runge\u2013Kutta method is used to continue to track the dynamic periodic solution of the modulation equation in Cartesian coordinates. It is found that there are multiple boundary crises and attractor merging crises in the vibration system for piezoelectric composite lattice sandwich plates. <\/jats:p>","DOI":"10.1142\/s0218127424500470","type":"journal-article","created":{"date-parts":[[2024,4,9]],"date-time":"2024-04-09T08:35:51Z","timestamp":1712651751000},"source":"Crossref","is-referenced-by-count":3,"title":["Nonlinear Dynamic Bifurcation and Chaos Characteristics of Piezoelectric Composite Lattice Sandwich Plates"],"prefix":"10.1142","volume":"34","author":[{"given":"Ting","family":"Ma","sequence":"first","affiliation":[{"name":"College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, P. R. China"},{"name":"Department of Mechanics, GuangXi University, Nanning 530004, P. R. China"},{"name":"State Key Laboratory of Featured Metal Materials and Life-Cycle Safety for Composite Structures, GuangXi University, Nanning 530004, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yufei","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Mechanics, GuangXi University, Nanning 530004, P. R. China"},{"name":"State Key Laboratory of Featured Metal Materials and Life-Cycle Safety for Composite Structures, GuangXi University, Nanning 530004, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Amer","sequence":"additional","affiliation":[{"name":"Department of Mechanics, GuangXi University, Nanning 530004, P. R. China"},{"name":"State Key Laboratory of Featured Metal Materials and Life-Cycle Safety for Composite Structures, GuangXi University, Nanning 530004, P. R. China"},{"name":"Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Kom, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1030-9063","authenticated-orcid":false,"given":"C. W.","family":"Lim","sequence":"additional","affiliation":[{"name":"Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2023,4,9]]},"reference":[{"key":"S0218127424500470BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/S0263-8223(03)00028-X"},{"key":"S0218127424500470BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.apacoust.2014.04.016"},{"key":"S0218127424500470BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-460X(85)80109-7"},{"key":"S0218127424500470BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/s11012-019-00995-4"},{"key":"S0218127424500470BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7403(77)90018-2"},{"key":"S0218127424500470BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/s12206-016-0825-y"},{"key":"S0218127424500470BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.coco.2020.100585"},{"key":"S0218127424500470BIB008","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-022-07811-x"},{"key":"S0218127424500470BIB009","doi-asserted-by":"publisher","DOI":"10.1177\/1099636220979276"},{"key":"S0218127424500470BIB010","doi-asserted-by":"publisher","DOI":"10.1177\/1099636213485518"},{"key":"S0218127424500470BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2018.06.113"},{"key":"S0218127424500470BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/j.tws.2021.108822"},{"key":"S0218127424500470BIB013","doi-asserted-by":"publisher","DOI":"10.1515\/IJNSNS.2006.7.4.393"},{"key":"S0218127424500470BIB014","doi-asserted-by":"publisher","DOI":"10.1080\/15376494.2017.1400616"},{"key":"S0218127424500470BIB015","doi-asserted-by":"publisher","DOI":"10.1016\/j.compscitech.2015.09.007"},{"key":"S0218127424500470BIB016","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2018.11.027"},{"key":"S0218127424500470BIB017","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2022.115721"},{"key":"S0218127424500470BIB018","doi-asserted-by":"publisher","DOI":"10.1016\/j.tws.2012.04.013"},{"key":"S0218127424500470BIB019","doi-asserted-by":"publisher","DOI":"10.1007\/s11029-012-9297-z"},{"key":"S0218127424500470BIB020","doi-asserted-by":"publisher","DOI":"10.1016\/0045-7949(93)90156-8"},{"key":"S0218127424500470BIB021","doi-asserted-by":"publisher","DOI":"10.1007\/s40430-015-0306-8"},{"key":"S0218127424500470BIB022","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2009.10.012"},{"key":"S0218127424500470BIB023","doi-asserted-by":"publisher","DOI":"10.1177\/2280800018757336"},{"key":"S0218127424500470BIB024","doi-asserted-by":"publisher","DOI":"10.1016\/j.euromechsol.2019.103908"},{"key":"S0218127424500470BIB025","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2022.115675"},{"key":"S0218127424500470BIB026","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2022.116317"},{"key":"S0218127424500470BIB027","doi-asserted-by":"publisher","DOI":"10.1016\/0045-7949(90)90302-I"},{"key":"S0218127424500470BIB028","doi-asserted-by":"publisher","DOI":"10.1016\/j.compositesa.2015.09.017"},{"key":"S0218127424500470BIB029","doi-asserted-by":"publisher","DOI":"10.1007\/s10483-021-2740-7"},{"key":"S0218127424500470BIB030","doi-asserted-by":"publisher","DOI":"10.1016\/j.mseb.2012.02.003"},{"key":"S0218127424500470BIB031","doi-asserted-by":"publisher","DOI":"10.1016\/S0894-9166(13)60041-5"},{"key":"S0218127424500470BIB032","doi-asserted-by":"publisher","DOI":"10.1177\/1099636209343383"},{"key":"S0218127424500470BIB033","doi-asserted-by":"publisher","DOI":"10.1177\/1099636217701093"},{"key":"S0218127424500470BIB034","doi-asserted-by":"publisher","DOI":"10.1007\/s00707-010-0424-4"},{"key":"S0218127424500470BIB035","doi-asserted-by":"publisher","DOI":"10.1016\/j.tws.2013.07.014"},{"key":"S0218127424500470BIB036","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2009.10.021"},{"key":"S0218127424500470BIB037","first-page":"31","volume":"21","author":"Safaei B.","year":"2023","journal-title":"Facta Univ. Ser. Mech. Eng."},{"key":"S0218127424500470BIB038","doi-asserted-by":"publisher","DOI":"10.1016\/j.compositesb.2013.04.034"},{"key":"S0218127424500470BIB039","doi-asserted-by":"publisher","DOI":"10.1177\/0309324720957568"},{"key":"S0218127424500470BIB040","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7462(84)90009-X"},{"key":"S0218127424500470BIB041","doi-asserted-by":"publisher","DOI":"10.1007\/s004199900065"},{"key":"S0218127424500470BIB042","doi-asserted-by":"publisher","DOI":"10.1016\/j.compositesb.2011.01.007"},{"key":"S0218127424500470BIB043","doi-asserted-by":"publisher","DOI":"10.1177\/1099636220909792"},{"key":"S0218127424500470BIB044","doi-asserted-by":"publisher","DOI":"10.1007\/s00707-018-2229-9"},{"key":"S0218127424500470BIB045","doi-asserted-by":"publisher","DOI":"10.1080\/15397730600773403"},{"key":"S0218127424500470BIB046","doi-asserted-by":"publisher","DOI":"10.1177\/0021998313485309"},{"key":"S0218127424500470BIB047","doi-asserted-by":"publisher","DOI":"10.1177\/10996362211020426"},{"key":"S0218127424500470BIB048","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-018-4511-8"},{"key":"S0218127424500470BIB049","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2022.115461"},{"key":"S0218127424500470BIB050","doi-asserted-by":"publisher","DOI":"10.1007\/s44198-022-00043-y"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127424500470","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,15]],"date-time":"2024-04-15T06:42:04Z","timestamp":1713163324000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218127424500470"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,4,9]]},"references-count":50,"journal-issue":{"issue":"04","published-print":{"date-parts":[[2024,3,30]]}},"alternative-id":["10.1142\/S0218127424500470"],"URL":"https:\/\/doi.org\/10.1142\/s0218127424500470","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,4,9]]},"article-number":"2450047"}}