Adams, RonaldKalies, WilliamVandervorst, Robert2022-04-112022-04-112017-04-11Adams, R., Kalies, W. D., & Vandervorst, R. C. A. M. (2017). On the dynamics of second-order Lagrangian systems. <i>Electronic Journal of Differential Equations, 2017</i>(101), pp. 1-20.1072-6691https://hdl.handle.net/10877/15633In this article we are concerned with improving the twist condition for second-order Lagrangian systems. We characterize a local Twist property and demonstrate how results on the existence of simple closed characteristics can be extended in the case of the Swift-Hohenberg / extended Fisher-Kolmogorov Lagrangian. Finally, we describe explicit evolution equations for broken geodesic curves that could be used to investigate more general systems or closed characteristics.Text20 pages1 file (.pdf)enAttribution 4.0 InternationalSecond-order LagrangianClosed characteristicTwist systemCurve evolutionArticle