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Elementary cycles of flows on manifolds
Author:
M. C. Irwin
Journal:
Bull. Amer. Math. Soc. 76 (1970), 72-74
MathSciNet review:
0248416
Full-text PDF
References |
Additional Information
- 1.
R. Abraham, Foundations of mechanics, Benjamin, New York, 1967.
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Ralph
Abraham and Joel
Robbin, Transversal mappings and flows, An appendix by Al
Kelley, W. A. Benjamin, Inc., New York-Amsterdam, 1967. MR 0240836
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M. Grobman, Homeomorphism of systems of differential
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D.
M. Grobman, Topological classification of neighborhoods of a
singularity in 𝑛-space, Mat. Sb. (N.S.) 56
(98) (1962), 77–94 (Russian). MR 0138829
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Philip
Hartman, A lemma in the theory of structural
stability of differential equations, Proc.
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(1960), 610–620. MR 0121542
(22 #12279), http://dx.doi.org/10.1090/S0002-9939-1960-0121542-7
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Philip
Hartman, On the local linearization of
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(27 #2693), http://dx.doi.org/10.1090/S0002-9939-1963-0152718-3
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Hartman, Ordinary differential equations, John Wiley &
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S.
Smale, Differentiable dynamical
systems, Bull. Amer. Math. Soc. 73 (1967), 747–817. MR 0228014
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- 9.
M.
C. Irwin, A classification of elementary cycles, Topology
9 (1970), 35–47. MR 0252789
(40 #6006)
- 1.
- R. Abraham, Foundations of mechanics, Benjamin, New York, 1967.
- 2.
- R. Abraham and J. Robbin, Transversal mappings and flows, Benjamin, New York, 1967. MR 240836
- 3.
- D. M. Grobman, Homeomorphisms of systems of differential equations, Dokl. Akad. Nauk SSSR 128 (1959), 880-881. (Russian) MR 121545
- 4.
- D. M. Grobman, Topological classification of the neighborhood of a singular point in n-dimensional space, Mat. Sb. 56 (98) (1962), 77-94. (Russian) MR 138829
- 5.
- P. Hartman, A lemma in the theory of structural stability of differential equations, Proc. Amer. Math. Soc. 11 (1960), 610-620. MR 121542
- 6.
- P. Hartman, On the local linearisation of differential equations, Proc. Amer. Math. Soc. 14 (1963), 568-573. MR 152718
- 7.
- P. Hartman, Ordinary differential equations, Wiley, New York, 1964. MR 171038
- 8.
- S. Smale, Differentiable dynamical systems, Bull. Amer. Soc. 73 (1967), 747-817. MR 228014
- 9.
- M. C. Irwin, A classification of elementary cycles, Topology (to appear). MR 252789
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1970-12369-2
PII:
S 0002-9904(1970)12369-2
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