On the dynamics of second-order Lagrangian systems
| dc.contributor.author | Adams, Ronald | |
| dc.contributor.author | Kalies, William | |
| dc.contributor.author | Vandervorst, Robert | |
| dc.date.accessioned | 2022-04-11T13:03:29Z | |
| dc.date.available | 2022-04-11T13:03:29Z | |
| dc.date.issued | 2017-04-11 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 20 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15633 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Second-order Lagrangian | |
| dc.subject | Closed characteristic | |
| dc.subject | Twist system | |
| dc.subject | Curve evolution | |
| dc.title | On the dynamics of second-order Lagrangian systems | |
| dc.type | Article |