Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics

2017 ◽  
Vol 72 (5) ◽  
pp. 783-840 ◽  
Author(s):  
A V Borisov ◽  
I S Mamaev ◽  
I A Bizyaev
Keyword(s):  
Dynamical Systems ◽  
Riemannian Geometry ◽  
Vakonomic Mechanics

scholarly journals Singularities of Solutions of Hamilton–Jacobi Equations

2021 ◽  
Author(s):  
Piermarco Cannarsa ◽  
Wei Cheng
Keyword(s):  
Quantitative Analysis ◽  
Partial Differential Equations ◽  
Dynamical Systems ◽  
Differential Equations ◽  
Riemannian Geometry ◽  
Survey Paper ◽  
The Past ◽  
Propagation Of Singularities ◽  
Hamiltonian Dynamical Systems ◽  
Jacobi Equations

AbstractThis is a survey paper on the quantitative analysis of the propagation of singularities for the viscosity solutions to Hamilton–Jacobi equations in the past decades. We also review further applications of the theory to various fields such as Riemannian geometry, Hamiltonian dynamical systems and partial differential equations.

Dynamical systems and nilpotent sub-Riemannian geometry

2008 ◽  
Vol 49 (3) ◽  
pp. 032704
Author(s):  
A. Anzaldo-Meneses ◽  
F. Monroy-Pérez
Keyword(s):  
Dynamical Systems ◽  
Riemannian Geometry
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