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Foundations of Physics

, Volume 45, Issue 6, pp 661–672 | Cite as

Nonconservative Lagrangian Mechanics: Purely Causal Equations of Motion

  • David W. DreisigmeyerEmail author
  • Peter M. Young
Article
  • 296 Downloads

Abstract

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.

Keywords

Lagrangian mechanics Nonconservative systems Volterra series Fractional derivatives 

Notes

Acknowledgments

The authors would like to thank the NSF for Grant #9732986. We also thank the referees for their helpful comments.

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Silver SpringUSA
  2. 2.Department of Electrical and Computer EngineeringColorado State UniversityFort CollinsUSA

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