Limitcycle,i.e.isolatedperiodicorbit Secondordersystem Existenceofperiodicorbitsofsecondordersystem 3 Poincare-BendixsonTheorem Poincare-BendixsonTheorem Considerthesecond-orderautonomous system xf(x)wherefislocallyLipschitzcontinuous.ForanorbitO+whichbecontainedinacompactsetD,Ωisitssetofallpositivelimitpoints.IfΩ...
Poincare-BendixsonTheorem Poincare-BendixsonCriterion Examples BendixsonCriterion Summary 3 Motivation: Limitcycle,i.e.isolatedperiodic orbit Secondordersystem Existenceofperiodicorbitsof secondordersystem 4 Poincare-BendixsonTheorem Poincare-BendixsonTheorem ...
Limitcycle,i.e.isolatedperiodicorbit Secondordersystem Existenceofperiodicorbitsofsecondordersystem 3 Poincare-BendixsonTheorem Poincare-BendixsonTheorem Considerthesecond-orderautonomous system xf(x)wherefislocallyLipschitzcontinuous.ForanorbitO+whichbecontainedinacompactsetD,Ωisitssetofallpositivelimitpoints.IfΩ...