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On the Ostrogradski instability for higher-order derivative theories and a pseudo-mechanical energy

  • Published:2008-02 Issue:3 Volume:310 Page:729-739
  • ISSN:0022-460X
  • Container-title:Journal of Sound and Vibration
  • language:en
  • Short-container-title:Journal of Sound and Vibration

Author:

Stephen N.G.

Publisher

Elsevier BV

Subject

Mechanical Engineering,Mechanics of Materials,Acoustics and Ultrasonics,Condensed Matter Physics

Reference15 articles.

1. Classical Dynamics of Particles and Systems;Marion,1988

2. On field theories with non-localized action;Pais;Physical Review,1950

3. Higher derivative Lagrangians, nonlocality, problems and solutions;Simon;Physical Review D,1990

4. A Treatise on the Analytical Dynamics of Particles and Rigid Bodies;Whittaker,1937

5. R.P. Woodard, Avoiding dark energy with 1/R modifications of gravity, arXiv: astro-ph/0601672 v2 February 2006.
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