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.
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页数：20
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