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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Exact dynamic systems are tree-like and vice-versa


Author: Kuo-tsai Chen
Journal: Trans. Amer. Math. Soc. 149 (1970), 561-567
MSC: Primary 57.50; Secondary 34.00
MathSciNet review: 0277007
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Abstract: This paper gives an analytic characterization of those dynamic systems whose graph of trajectories is a tree.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1970-0277007-6
PII: S 0002-9947(1970)0277007-6
Keywords: Manifold, algebra, derivation, 1-forms, stable manifolds, separatrices, graph
Article copyright: © Copyright 1970 American Mathematical Society