Bifurcations of Rough Heteroclinic Loops with Three Saddle Points

(整期优先)网络出版时间:2002-01-11
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<正>Inthispaper,westudythebifurcationproblemsofroughheteroclinicloupscormectingthrecsaddlepointsforahigher-dimensionalsystem.Undersometransversalconditionsandthenontwistedcondition.theexistence.uniqueness.ndincoexistenccofthcl-heteroclinicloopwiththrecortwosaddlepomts.l-homoclinicorbitandl-periodicorbitnearTareobtained.Nleanwhile,thebifurcationsurfacesandexistenceregionsarealsogiven.Moreover.theabovebifurcationresultsareextendedtothecaseforheteroclinicloopwithlsaddlepoints.