Nonconservative Lagrangian mechanics II: purely causal equations of motion

Details Nonconservative Lagrangian mechanics II: purely causal equations of motion Nonconservative Lagrangian mechanics II: purely causal equations of motion

2004-02-11

arxiv.org/abs/physics/0402056v1

Physics

Classical Physics

Scientific paper

This work builds on the Volterra series formalism presented in [D. W. Dreisigmeyer and P. M. Young, J. Phys. A \textbf{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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