On a class of continuous flow.
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Mogollon, Ramon (1980)
International Journal of Mathematics and Mathematical Sciences
Antonio F. Costa, F.G. Gascon (1988)
Inventiones mathematicae
M.C. Zdun (1989)
Aequationes mathematicae
Hiromichi Nakayama (1996)
Fundamenta Mathematicae
A flow of an open manifold is very complicated even if its orbit space is Hausdorff. In this paper, we define the strongly Hausdorff flows and consider their dynamical properties in terms of the orbit spaces. By making use of this characterization, we finally classify all the strongly Hausdorff -flows.
Ginzburg, Viktor L., Gürel, Basak Z. (2002)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Bernard Malgrange (2011)
Banach Center Publications
Given a vector field X on an algebraic variety V over ℂ, I compare the following two objects: (i) the envelope of X, the smallest algebraic pseudogroup over V whose Lie algebra contains X, and (ii) the Galois pseudogroup of the foliation defined by the vector field X + d/dt (restricted to one fibre t = constant). I show that either they are equal, or the second has codimension one in the first.
M. Brin, M. Gromov (1980)
Inventiones mathematicae
Viktor L. Ginzburg (1996)
Mathematische Zeitschrift
Rolci Cipolatti (1993)
Annales de l'I.H.P. Physique théorique
Krzysztof Wojciechowski (1983)
Banach Center Publications
Sergio R. Fenley (1995)
Commentarii mathematici Helvetici
K. Athanassopoulos (1996)
Mathematische Zeitschrift
Lennard Bakker (1999)
Colloquium Mathematicae
We give a clear and systematic exposition of one-parameter families of brake orbits in dynamical systems on product vector bundles (where the fiber has the same dimension as the base manifold). A generalized definition of a brake orbit is given, and the relationship between brake orbits and periodic orbits is discussed. The brake equation, which implicitly encodes information about the brake orbits of a dynamical system, is defined. Using the brake equation, a one-parameter family of brake orbits...
Motomasma Komuro (1984)
Monatshefte für Mathematik
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