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Your search keyword '"de León, Manuel"' showing total 2 results
Start Over Author "de León, Manuel" Topic hamilton-jacobi equations Publisher american institute of mathematical sciences
2 results on '"de León, Manuel"'

1. A HAMILTON-JACOBI THEORY ON POISSON MANIFOLDS.

Author

DE LEÓN, MANUEL, DE DIEGO, DAVID MARTÍN, and VAQUERO, MIGUEL

Subjects
*HAMILTON-Jacobi equations, *POISSON manifolds, *NONHOLONOMIC dynamical systems, *TIME-dependent perturbation theory, *GEOMETRIC measure theory
Abstract

In this paper we develop a Hamilton-Jacobi theory in the setting of almost Poisson manifolds. The theory extends the classical Hamilton-Jacobi theory and can be also applied to very general situations including nonholonomic mechanical systems and time dependent systems with external forces. [ABSTRACT FROM AUTHOR]

Published
2014
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2. KINEMATIC REDUCTION AND THE HAMILTON-JACOBI EQUATION.

Author

BARBERO.-LIŇÁN, MARĺA, DE LEÓN, MANUEL, DE DIEGO, DAVID MARTĺN, MARRERO, JUAN C., and MUŇOZ.-LECANDA, MIGUEL C.

Subjects
*KINEMATICS, *HAMILTON-Jacobi equations, *CONTROL theory (Engineering), *VECTOR fields, *MATHEMATICAL decoupling
Abstract

A 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 relies on new mathematical techniques for mechanics defined on a skew-symmetric algebroid. This geometric structure allows us to describe in a simplified way the mechanics of nonholonomic systems with both control and external forces. [ABSTRACT FROM AUTHOR]

Published
2012
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