Re: planar vector field conjugated with a constant one?
- From: Maarten van Reeuwijk <maarten@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>
- Date: Thu, 15 Jun 2006 11:18:51 +0200
Pavel Pokorny wrote:
Dear nonlinear friends
is it true that a planar continuous vector field with no equilibrium
points is topologically conjugated with a constant nonzero field?
The absence of equilibrium points mean that streamlines do not cross
throughout all space and thus there must be a smooth transformation that
aligns these to a constant flow in one direction.
HTH, MAarten
--
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Maarten van Reeuwijk dept. of Multiscale Physics
Phd student Faculty of Applied Sciences
maarten.ws.tn.tudelft.nl Delft University of Technology
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