scholarly journals Distinguished trajectories in time dependent vector fields

2009 ◽  
Vol 19 (1) ◽  
pp. 013111 ◽  
Author(s):  
J. A. Jiménez Madrid ◽  
A. M. Mancho
Keyword(s):  
Vector Fields ◽  
Time Dependent ◽  
Dependent Vector

scholarly journals Extracting Features from Time-Dependent Vector Fields Using Internal Reference Frames

2014 ◽  
Vol 33 (3) ◽  
pp. 21-30 ◽  
Author(s):  
H. Bhatia ◽  
V. Pascucci ◽  
R. M. Kirby ◽  
P.-T. Bremer
Keyword(s):  
Vector Fields ◽  
Reference Frames ◽  
Time Dependent ◽  
Internal Reference ◽  
Dependent Vector

STRATIFIED TRANSVERSALITY VIA TIME-DEPENDENT VECTOR FIELDS

2005 ◽  
Vol 71 (02) ◽  
pp. 516-530
Author(s):  
C. MUROLO ◽  
A. A. DU PLESSIS ◽  
D. J. A. TROTMAN
Keyword(s):  
Vector Fields ◽  
Time Dependent ◽  
Dependent Vector

scholarly journals Generation of Accurate Integral Surfaces in Time-Dependent Vector Fields

2008 ◽  
Vol 14 (6) ◽  
pp. 1404-1411 ◽  
Author(s):  
Christoph Garth ◽  
Han Krishnan ◽  
Xavier Tricoche ◽  
Tom Bobach ◽  
Kenneth I. Joy
Keyword(s):  
Vector Fields ◽  
Time Dependent ◽  
Dependent Vector

A completeness result for time-dependent vector fields and applications

2015 ◽  
Vol 17 (04) ◽  
pp. 1450040 ◽  
Author(s):  
Stefano Biagi ◽  
Andrea Bonfiglioli
Keyword(s):  
Vector Field ◽  
Lie Groups ◽  
Vector Fields ◽  
Time Dependent ◽  
Sufficient Condition ◽  
Invariance Condition ◽  
The Third ◽  
Completeness Result ◽  
Dependent Vector ◽  
Hörmander Vector Fields

We provide a sufficient condition for the completeness of a time-dependent vector field in ℝN, generalizing the well-known left-invariance condition on Lie groups. This result can be applied to the construction of Lie groups associated to suitable families X of Hörmander vector fields, without the need to use the Third Fundamental Theorem of Lie. Further applications are given to the control-theoretic distance related to X, and to the existence of the relevant geodesics.

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