ON THE DYNAMICS OF SECOND-ORDER LAGRANGIAN SYSTEMS

被引：0

作者：

Adams, Ronald ^{[1
]}

Kalies, William D. ^{[2
]}

Vandervorst, Robert C. A. M. ^{[3
]}

机构：

[1] Embry Rriddle Aaeronaut Univ, Dept Math, Daytona Beach, FL 32114 USA

[2] Florida Atlantic Univ, Dept Math, Boca Raton, FL 33431 USA

[3] Vrije Univ Amsterdam, Dept Math, Amsterdam, Netherlands

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年

关键词：

Second-order Lagrangian; closed characteristic; twist system; curve evolution; CLOSED CHARACTERISTICS; HOMOTOPY CLASSES; TWIST SYSTEMS; PATTERNS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：20

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