Exploració per tema "Hamilton-Jacobi equation"
Ara es mostren els items 1-5 de 5
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Geometric Hamilton-Jacobi theory for higher-order autonomous systems
(2014-06-13)
Article
Accés restringit per política de l'editorialThe geometric framework for the Hamilton-Jacobi theory is used to study this theory in the background of higher-order mechanical systems, in both the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding ... -
Geometric mechanics and Hamilton-Jacobi theory
(Universitat Politècnica de Catalunya, 2017-01)
Treball Final de Grau
Accés obertA review of analytical mechanics in the language of differential geometry is given. The classical formulations of Newton, Lagrange and Hamilton are discussed in detail, with special interest in the Hamilton-Jacobi equation. ... -
Kinematic reduction and the Hamilton-Jacobi equation
(American Institute of Mathematical Sciences, 2012)
Article
Accés obertA close relationship between the classical Hamilton- Jacobi theory and the kinematic reduction of control systems by decoupling vector fields is shown in this paper. The geometric interpretation of this relationship ... -
Structural aspects of Hamilton–Jacobi theory
(2016-02-01)
Article
Accés obertIn our previous papers [11, 13] we showed that the Hamilton–Jacobi problem can be regarded as a way to describe a given dynamics on a phase space manifold in terms of a family of dynamics on a lower-dimensional manifold. ... -
Unified formalism for the generalized kth-order Hamilton-Jacobi problem
(2014-10-01)
Article
Accés obertThe 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 ...