Branch switching in bifurcation problems for ordinary differential equations

摘要: The problem of switching branches in boundary-value problems ordinary differential equations is considered. Three non-local methods for calculating emanating solutions near a nontrivial bifurcation point are proposed. These calculate one solution on an branch (without priori exact knowledge the point). Other can be obtained by global continuation. convenient as they consist solving standard software. construction initial approximation outlined. A characteristic feature proposed that easily automated; user avoid nearly all preparatory work. tested several examples arising different application areas.