eprintid: 5145 rev_number: 2 eprint_status: archive userid: 1 dir: disk0/00/00/51/45 datestamp: 2023-11-09 16:16:52 lastmod: 2023-11-09 16:16:52 status_changed: 2023-11-09 16:00:43 type: conference_item metadata_visibility: show creators_name: Dennis, L.C.C. creators_name: Chew, X. creators_name: Lee, Y. title: Bifurcation of rupture path by linear and cubic damping force ispublished: pub keywords: Damping; Differential equations; Dispersion (waves), Differential forms; Dispersive waves; Exact solution; Imaginary parts; Momentum equation; Rayleigh; Rupture path; Separation of variables, Bifurcation (mathematics) note: cited By 0; Conference of 3rd International Conference on Mathematical Sciences, ICMS 2013 ; Conference Date: 17 December 2013 Through 19 December 2013; Conference Code:106205 abstract: Bifurcation of rupture path is studied for the effect of linear and cubic damping. Momentum equation with Rayleigh factor was transformed into ordinary differential form. Bernoulli differential equation was obtained and solved by the separation of variables. Analytical or exact solutions yielded the bifurcation was visible at imaginary part when the wave was non dispersive. For the dispersive wave, bifurcation of rupture path was invisible. © 2014 AIP Publishing LLC. date: 2014 publisher: American Institute of Physics Inc. official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84904124746&doi=10.1063%2f1.4882459&partnerID=40&md5=80fa69190b3619654dfea976553b812d id_number: 10.1063/1.4882459 full_text_status: none publication: AIP Conference Proceedings volume: 1602 place_of_pub: Kuala Lumpur pagerange: 10-14 refereed: TRUE isbn: 9780735412361 issn: 0094243X citation: Dennis, L.C.C. and Chew, X. and Lee, Y. (2014) Bifurcation of rupture path by linear and cubic damping force. In: UNSPECIFIED.