Nonconservative Lagrangian Mechanics: Purely Causal Equations of Motion

被引：0
|
作者：
Dreisigmeyer, David W. [1 ]
Young, Peter M. [1 ]
机构：
[1] Colorado State Univ, Dept Elect & Comp Engn, Ft Collins, CO 80523 USA
来源：
FOUNDATIONS OF PHYSICS | 2015年 / 45卷 / 06期
基金：
美国国家科学基金会;
关键词：
Lagrangian mechanics; Nonconservative systems; Volterra series; Fractional derivatives; FRACTIONAL DERIVATIVES; VARIATIONAL-PRINCIPLES; SYSTEMS;
D O I：
10.1007/s10701-015-9892-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This work builds on the Volterra series formalism presented in Dreisigmeyer and Young (J Phys A 36: 8297, 2003) to model nonconservative systems. Here we treat Lagrangians and actions as 'time dependent' Volterra series. We present a new family of kernels to be used in these Volterra series that allow us to derive a single retarded equation of motion using a variational principle.
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页码：661 / 672
页数：12
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