From flows and metrics to dynamics (original) (raw)
Related papers
On the Space of Trajectories of a Generic Vector Field
Vector Field Topology of Time-Dependent Flows in a Steady Reference Frame
IEEE Transactions on Visualization and Computer Graphics, 2019
Vector fields with distributions and invariants of ODEs
Journal of Geometric Mechanics, 2013
Toward a Lagrangian vector field topology
2010
Fluid flow versus Geometric Dynamics
C. Udriste, Dragos D Isvoranu, Constantin Udrişte
A note on Newtonian, Lagrangian and Hamiltonian dynamical systems in Riemannian manifolds
2001
Distinguished trajectories in time dependent vector fields
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2009
Differentiability properties of the flow of 2d autonomous vector fields
Journal of Differential Equations, 2021
Dynamics on differential one-forms
Classification of dynamical systems based on a decomposition of their vector fields
Journal of Differential Equations, 2012
Visualizing the Topology of Vector Fields: An Annotated Bibliography
1992
Scholarpedia, 2011
A geometrical framework to capture the dynamical evolution of slow-fast vector fields
Generalized Flows and Singular ODEs on Differentiable Manifolds
Acta Applicandae Mathematicae, 2000
The general law of dynamics in nonlinear manifolds and Noether’s theorem
2006
Geometrical theory of fluid flows and dynamical systems
Fluid Dynamics Research, 2002
Topics in differential geometry associated with position vector fields on Euclidean submanifolds
Arab Journal of Mathematical Sciences, 2017
Dynamics of incompressible vector fields
Applied Mathematics Letters, 1999
Vector fields on n-foliated 2n-dimensional manifolds
Journal of Mathematical Sciences, 2006
Dynamical Symmetry by Carl Wulfman
Journal of Geometry and Symmetry in Physics, 2011
From PDEs Systems and Metrics to Multi-Time Fields Theories and Geometric Dynamics
Constantin Udrişte, Mircea Neagu
2001
Families of vector fields which generate the group of diffeomorphisms
Proceedings of the Steklov Institute of Mathematics, 2010
Differential–Algebraic Equations and Dynamic Systems on Manifolds
Cybernetics and Systems Analysis, 2016
Dynamical Systems Analysis Using Differential Geometry
The flow completion of a manifold with vector field
Introduction to a Geometrical Theory of Fluid Flows and Dynamical Systems
An Introduction to the Geometry and Topology of Fluid Flows, 2001
Geometric Action Principles in Classical Dynamics
2015
The concepts of Lie derivative for discrete-time systems
Proceedings of the Estonian Academy of Sciences, 2012
Some notes on vector fields in the tangent bundle
New Trends in Mathematical Science, 2019
Representation of divergence-free vector fields
Quarterly of Applied Mathematics, 2011
Traversally generic & versal vector flows: semi-algebraic models of tangency to the boundary
Asian Journal of Mathematics, 2017
On the Differential Equation Governing Torqued Vector Fields on a Riemannian Manifold
Symmetry