• Corpus ID: 248965140

When action is not least for systems with action-dependent Lagrangians

@inproceedings{Ryan2022WhenAI,
  title={When action is not least for systems with action-dependent Lagrangians},
  author={Joseph Ryan},
  year={2022}
}
The dynamics of some non-conservative and dissipative systems can be derived by calculating the first variation of an action-dependent action, according to the variational principle of Herglotz. This is directly analogous to the variational principle of Hamilton commonly used to derive the dynamics of conservative systems. In a similar fashion, just as the second variation of a conservative system’s action can be used to infer whether that system’s possible trajectories are dynamically stable… 

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