Exact dynamic systems are tree-like and vice-versa
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- by Kuo-tsai Chen
- Trans. Amer. Math. Soc. 149 (1970), 561-567
- DOI: https://doi.org/10.1090/S0002-9947-1970-0277007-6
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Abstract:
This paper gives an analytic characterization of those dynamic systems whose graph of trajectories is a tree.References
- Kuo-tsai Chen, Homotopy of algebras, J. Algebra 10 (1968), 183–193. MR 232804, DOI 10.1016/0021-8693(68)90094-X
- Kuo-tsai Chen, An algebraic dualization of fundamental groups, Bull. Amer. Math. Soc. 75 (1969), 1020–1024. MR 260834, DOI 10.1090/S0002-9904-1969-12345-1
- Philip Hartman, Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR 0171038
- S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747–817. MR 228014, DOI 10.1090/S0002-9904-1967-11798-1
Bibliographic Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 149 (1970), 561-567
- MSC: Primary 57.50; Secondary 34.00
- DOI: https://doi.org/10.1090/S0002-9947-1970-0277007-6
- MathSciNet review: 0277007