Unified formalism for the generalized kth-order Hamilton-Jacobi problem

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hdl:2117/27582
Document typeArticle
Defense date2014-10-01
Rights accessOpen Access
European Commission's projectGEOMECH - Geometric Mechanics (EC-FP7-246981)
Abstract
The geometric formulation of the Hamilton-Jacobi theory enables us to generalize it to systems of higher-order ordinary differential equations. In this work we introduce the unified Lagrangian-Hamiltonian formalism for the geometric Hamilton-Jacobi theory on higher-order autonomous dynamical systems described by regular Lagrangian functions.
CitationColombo, L. [et al.]. Unified formalism for the generalized kth-order Hamilton-Jacobi problem. "International journal of geometric methods in modern physics", 01 Octubre 2014, vol. 11, núm. 9.
ISSN0219-8878
Publisher versionhttp://arxiv.org/abs/1310.1071
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