CODIMENSION 3 BIFURCATIONS OF HOMOCLINIC ORBITS WITH ORBIT FLIPS AND INCLINATION FLIPS

(整期优先)网络出版时间:2004-04-14
/ 1
Thehomoclinicbifurcationsinfourdimensionalvectorfieldsareinvestigatedbysettingupalocalcoordinatesnearthehomoclinicorbit.Thishomoclinicorbitisnonprincipalinthemeaningsthatitspositivesemi-orbittakesorbitflipanditsunstablefoliationtakesinclinationflip.Theexistence,nonexistence,uniquenessandcoexistenceofthe1-homoclinicorbitandthe1-periodicorbitarestudied.Theexistenceofthetwofoldperiodicorbitandthree-foldperiodicorbitarealsoobtained.