On the dynamics of second-order Lagrangian systems
Date
2017-04-11
Authors
Adams, Ronald
Kalies, William
Vandervorst, Robert
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In 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.
Description
Keywords
Second-order Lagrangian, Closed characteristic, Twist system, Curve evolution
Citation
Adams, 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.
Rights
Attribution 4.0 International