Nonconservative Lagrangian Mechanics: Purely Causal Equations of Motion

Foundations of Physics 45 (6):661-672 (2015)
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Abstract

This work builds on the Volterra series formalism presented in Dreisigmeyer and Young 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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