?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Facta.bibl.u-szeged.hu%2F75819%2F&rft.title=Isolated+periodic+wave+trains+in+a+generalized+Burgers-Huxley+equation&rft.creator=+Wang+Qinlong&rft.creator=+Xiong+Yu%E2%80%99e&rft.creator=+Huang+Wentao&rft.creator=+Romanovski+Valery+G.&rft.subject=01.+Term%C3%A9szettudom%C3%A1nyok&rft.subject=01.01.+Matematika&rft.description=We+study+the+isolated+periodic+wave+trains+in+a+class+of+modified+generalized+Burgers%E2%80%93Huxley+equation.+The+planar+systems+with+a+degenerate+equilibrium+arising+after+the+traveling+transformation+are+investigated.+By+finding+certain+positive+definite+Lyapunov+functions+in+the+neighborhood+of+the+degenerate+singular+points+and+the+Hopf+bifurcation+points%2C+the+number+of+possible+limit+cycles+in+the+corresponding+planar+systems+is+determined.+The+existence+of+isolated+periodic+wave+trains+in+the+equation+is+established%2C+which+is+universal+for+any+positive+integer+n+in+this+model.+Within+the+process%2C+one+interesting+example+is+obtained%2C+namely+a+series+of+limit+cycles+bifurcating+from+a+semi-hyperbolic+singular+point+with+one+zero+eigenvalue+and+one+non-zero+eigenvalue+for+its+Jacobi+matrix.&rft.date=2022&rft.type=Foly%C3%B3irat&rft.type=NonPeerReviewed&rft.format=full&rft.language=hu&rft.identifier=http%3A%2F%2Facta.bibl.u-szeged.hu%2F75819%2F1%2Fejqtde_2022_004.pdf&rft.identifier=+++Wang+Qinlong%3B++Xiong+Yu%E2%80%99e%3B++Huang+Wentao%3B++Romanovski+Valery+G.%3A+++Isolated+periodic+wave+trains+in+a+generalized+Burgers-Huxley+equation.++(2022)+++&rft.language=eng