On the Ostrogradski instability for higher-order derivative theories and a pseudo-mechanical energy
A two-degree of freedom spring-mass system, described by two coupled second-order ODEs, is considered from a higher-order one-particle (HOOP) viewpoint. A Lagrangian leading to the single fourth-order differential equation now contains time derivatives greater than the first order. The Hamiltonian c...
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| Format: | Article |
| Language: | English |
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2008-02-19.
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| Online Access: | Get fulltext |