{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T06:43:44Z","timestamp":1740120224001,"version":"3.37.3"},"reference-count":44,"publisher":"World Scientific Pub Co Pte Ltd","issue":"06","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11272258"],"award-info":[{"award-number":["11272258"]}],"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":["11202035"],"award-info":[{"award-number":["11202035"]}],"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":[[2016,6,15]]},"abstract":"<jats:p>In this paper, noise-induced and delay-induced bifurcations in a bistable Duffing\u2013van der Pol (DVP) oscillator under time delay and joint noises are discussed theoretically and numerically. Based on the qualitative changes of the plane phase, delay-induced bifurcations are investigated in the deterministic case. However, in the stochastic case, the response of the system is a stochastic non-Markovian process owing to the existence of noise and time delay. Then, methods have been employed to derive the stationary probability density function (PDF) of the amplitude of the response. Accordingly, stochastic P-bifurcations can be observed with the variations in the qualitative behavior of the stationary PDF for amplitude. Furthermore, results from both theoretical analyses and numerical simulations best demonstrate the appearance of noise-induced and delay-induced bifurcations, which are in good agreement.<\/jats:p>","DOI":"10.1142\/s0218127416501029","type":"journal-article","created":{"date-parts":[[2016,6,29]],"date-time":"2016-06-29T06:02:54Z","timestamp":1467180174000},"page":"1650102","source":"Crossref","is-referenced-by-count":9,"title":["Bifurcations Induced in a Bistable Oscillator via Joint Noises and Time Delay"],"prefix":"10.1142","volume":"26","author":[{"given":"Jin","family":"Fu","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an 710072, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhongkui","family":"Sun","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an 710072, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuzhu","family":"Xiao","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Information Science, Chang\u2019an University, Xi\u2019an 710086, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"Xu","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an 710072, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2016,6,28]]},"reference":[{"volume-title":"Nonlinear Dynamics of Chaotic and Stochastic Systems: Tutorial and Modern Developments","year":"2007","author":"Anishchenko V. S.","key":"S0218127416501029BIB001"},{"key":"S0218127416501029BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-12878-7"},{"key":"S0218127416501029BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.biosystems.2007.10.002"},{"key":"S0218127416501029BIB004","first-page":"381","volume":"99","author":"Banerjee S.","year":"2008","journal-title":"Neurocomputing"},{"key":"S0218127416501029BIB005","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127413500922"},{"key":"S0218127416501029BIB006","doi-asserted-by":"publisher","DOI":"10.1063\/1.4870363"},{"key":"S0218127416501029BIB007","doi-asserted-by":"publisher","DOI":"10.1063\/1.4882471"},{"key":"S0218127416501029BIB008","doi-asserted-by":"publisher","DOI":"10.1063\/1.4818545"},{"key":"S0218127416501029BIB009","first-page":"132","volume":"105","author":"Feng C. S.","year":"2012","journal-title":"Appl. Mech. Mater."},{"key":"S0218127416501029BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2011.11.007"},{"key":"S0218127416501029BIB011","doi-asserted-by":"publisher","DOI":"10.1007\/BF02402204"},{"key":"S0218127416501029BIB012","doi-asserted-by":"publisher","DOI":"10.1063\/1.3581161"},{"key":"S0218127416501029BIB013","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.45.604"},{"key":"S0218127416501029BIB014","first-page":"164","volume-title":"Noise-Induced Transitions: Theory and Applications in Physics, Chemistry, and Biology","author":"Horsthemke W.","year":"1984"},{"key":"S0218127416501029BIB015","doi-asserted-by":"publisher","DOI":"10.1063\/1.4902630"},{"key":"S0218127416501029BIB016","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.91.260601"},{"key":"S0218127416501029BIB017","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.89.010701"},{"key":"S0218127416501029BIB018","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.56.1631"},{"key":"S0218127416501029BIB019","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2012.05.026"},{"key":"S0218127416501029BIB020","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechrescom.2005.09.009"},{"key":"S0218127416501029BIB021","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2014.10.083"},{"key":"S0218127416501029BIB022","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.90.020601"},{"key":"S0218127416501029BIB023","doi-asserted-by":"publisher","DOI":"10.1016\/0096-3003(90)90051-4"},{"key":"S0218127416501029BIB024","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.77.031107"},{"key":"S0218127416501029BIB025","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127411030428"},{"key":"S0218127416501029BIB026","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2013.09.022"},{"key":"S0218127416501029BIB027","doi-asserted-by":"publisher","DOI":"10.1063\/1.4865355"},{"key":"S0218127416501029BIB028","doi-asserted-by":"publisher","DOI":"10.1063\/1.4927646"},{"key":"S0218127416501029BIB029","doi-asserted-by":"publisher","DOI":"10.1016\/j.dsp.2014.10.008"},{"key":"S0218127416501029BIB030","doi-asserted-by":"crossref","first-page":"909","DOI":"10.1016\/j.amc.2015.06.009","volume":"266","author":"Tian X. H.","year":"2015","journal-title":"Appl. Math. Comput."},{"key":"S0218127416501029BIB031","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2012.03.010"},{"key":"S0218127416501029BIB032","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.87.250602"},{"key":"S0218127416501029BIB033","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127404010990"},{"key":"S0218127416501029BIB034","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2011.01.022"},{"key":"S0218127416501029BIB035","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(03)00049-6"},{"key":"S0218127416501029BIB036","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127404010989"},{"key":"S0218127416501029BIB037","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.83.056215"},{"key":"S0218127416501029BIB038","doi-asserted-by":"publisher","DOI":"10.1007\/s00707-013-1040-x"},{"key":"S0218127416501029BIB039","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2014.989410"},{"key":"S0218127416501029BIB040","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2014.03.011"},{"key":"S0218127416501029BIB041","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.81.011106"},{"key":"S0218127416501029BIB042","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2015.03.041"},{"key":"S0218127416501029BIB043","doi-asserted-by":"publisher","DOI":"10.1016\/j.chemphys.2012.02.020"},{"key":"S0218127416501029BIB044","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2011.01.005"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127416501029","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,23]],"date-time":"2020-09-23T02:32:56Z","timestamp":1600828376000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127416501029"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,6,15]]},"references-count":44,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2016,6,28]]},"published-print":{"date-parts":[[2016,6,15]]}},"alternative-id":["10.1142\/S0218127416501029"],"URL":"https:\/\/doi.org\/10.1142\/s0218127416501029","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"type":"print","value":"0218-1274"},{"type":"electronic","value":"1793-6551"}],"subject":[],"published":{"date-parts":[[2016,6,15]]}}}