Fourth Order Conservative Twist Systems: Simple Closed Characteristics
نویسنده
چکیده
On the energy manifolds of fourth order conservative systems closed characteristics can be found inmany cases via analogues of Twist-maps. The ‘Twist property’ implies the existence of a generating function which leads to second order recurrence relations. We study these recurrence relations to find simple closed characteristics andwe give conditionswhen fourth order systems satisfy the ‘Twist property’.
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