Some topics concerning the theory of singular dynamical systems
Narciso Roman-Roy
TL;DR
This paper reviews key topics in the geometric theory of singular dynamical systems, focusing on canonical transformations, constraint algorithms, and the time-evolution operator, providing insights into their mathematical structure and applications.
Contribution
It offers a comprehensive review of the geometric aspects of singular dynamical systems, emphasizing canonical transformations and constraint algorithms.
Findings
Analysis of canonical transformations for presymplectic Hamiltonian systems
Discussion of Lagrangian and Hamiltonian constraint algorithms
Examination of the time-evolution operator in singular systems
Abstract
Some subjects related to the geometric theory of singular dynamical systems are reviewed in this paper. In particular, the following two matters are considered: the theory of canonical transformations for presymplectic Hamiltonian systems, and the Lagrangian and Hamiltonian constraint algorithms and the time-evolution operator.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Control and Stability of Dynamical Systems · Algebraic and Geometric Analysis