Nonconservative Lagrangian Mechanics: Purely Causal Equations of Motion
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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.
KeywordsLagrangian mechanics Nonconservative systems Volterra series Fractional derivatives
The authors would like to thank the NSF for Grant #9732986. We also thank the referees for their helpful comments.
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