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math-ph2013★ 15 cited
Hamiltonian analysis for linearly acceleration-dependent Lagrangians
Miguel Cruz, Rosario Gomez-Cortes, Alberto Molgado +1
We study the constrained Ostrogradski-Hamilton framework for the equations of motion provided by mechanical systems described by second-order derivative actions with a linear depen…
math-ph2007★ 8 cited
Null Frenet-Serret Dynamics
Riccardo Capovilla, Jemal Guven, Efrain Rojas
We consider the Frenet-Serret geometry of null curves in a three and a four-dimensional Minkowski background. We develop a theory of deformations adapted to the Frenet-Serret frame…