About non-maximality of the action functional

In this work first we review some cases where the action exhibits a minimal or a saddle-point criticality for velocity-independent potentials (V(x, t)) and maximum when the potential is velocity-dependent (V(x,ẋ,t)). In the following we will use the functional (“directional”) derivative of second o...

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Bibliographic Details
Main Authors: W. Freire, J. P. N. Lima
Format: Article
Language:English
Published: AIP Publishing LLC 2012-09-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4747508