The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Structural stability on two-dimensional manifolds
Open accessAbstract
THE ABOVE paper appeared in Volume 1, pp. 101-120 of Topology, and the aim of it was to prove that the set of all structurally stable differential equations is open and dense in the space, with the Cl-topology, of all differential equations defined on a compact 12f2. In this note we clarify a point concerning the proof of that theorem that was brought to our attention by E. Lima and S. Schwartzman.
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Citations
Cites
Quelques propriétés globales des variétés différentiables
Thom, R. (1954) · Commentarii Mathematici Helvetici · doi:10.1007/bf02566923 · Cited by 825
Whitney, H. (1936) · The Annals of Mathematics · doi:10.2307/1968482 · Cited by 764
Sur les courbes définies par les équations différentielles à la surface du tore
Denjoy, A. (1932) · French digital mathematics library (Numdam) · Cited by 362
Cited by
Population dynamics from game theory
Zeeman, E. C. (1980) · Lecture Notes in Mathematics · doi:10.1007/bfb0087009 · Cited by 416
Chern, S. S. (1966) · Bulletin of the American Mathematical Society · doi:10.1090/s0002-9904-1966-11473-8 · Cited by 159
Metadata
- Authors
- Peixoto, M. M.
- Venue
- Topology
- Publisher
- Elsevier BV
- Published
- 1962-04
- Volume
- 1
- Issue
- 2
- Pages
- 101-120
- ISSN
- 0040-9383 (ISSN-L)
- OpenAlex
- W2085742756
- Cited by
- 554
- References
- 3
- FWCI
- 3.31
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Peixoto, M. M. (1962). Structural stability on two-dimensional manifolds. Topology. https://doi.org/10.1016/0040-9383(65)90018-2
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
