On the dynamics of second-order Lagrangian systems

Ronald Adams; R.C.A.M. C. A. M. Van der vorst; W.D. Kalies

On the dynamics of second-order Lagrangian systems

Ronald Adams, R.C.A.M. C. A. M. Van der vorst, W.D. Kalies

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

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.

Original language	English
Pages (from-to)	1-20
Number of pages	20
Journal	Electronic Journal of Differential Equations
Volume	2017
Issue number	101
Publication status	Published - 11 Apr 2017

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title = "On the dynamics of second-order Lagrangian systems",

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.",

author = "Ronald Adams and \{Van der vorst\}, \{R.C.A.M. C. A. M.\} and W.D. Kalies",

year = "2017",

month = apr,

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language = "English",

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journal = "Electronic Journal of Differential Equations",

publisher = "Texas State University - San Marcos",

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AU - Adams, Ronald

AU - Van der vorst, R.C.A.M. C. A. M.

AU - Kalies, W.D.

PY - 2017/4/11

Y1 - 2017/4/11

N2 - 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.

AB - 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.

M3 - Article

VL - 2017

SP - 1

EP - 20

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

IS - 101

ER -

On the dynamics of second-order Lagrangian systems

Abstract

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