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The treatment of periodic orbits by the methods of fixed point theory
Author(s):
F. Brock
Fuller
Journal:
Bull. Amer. Math. Soc.
72
(1966),
838-840.
MathSciNet review:
0199507
Retrieve article in:
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References |
Additional information
References:
- 1.
- G. D. Birkhoff, Dynamical systems, Amer. Math. Soc. Colloq. Publ., Vol 9' Amer. Math. Soc., Providence, R. I., 1927. MR 209095
- 2.
- F. B. Fuller, An index of fixed point type for periodic orbits, (to appear). MR 209600
- 3.
- J. Leray, La théorie des points fixes et ses applications en analyse, Proc. Internat. Congr. Mathematicians, 1950, vol. II, pp. 202-208. MR 47318
- 4.
- L. Markus, The behavior of the solutions of a differential equation near a periodic solution, Ann. of Math. 72 (1960), 245-266. MR 121541
- 5.
- G. Reeb, Sur un théorème de Siefert sur les trajectories fermées de certains champs de vecteurs, Internat. Sympos. Nonlinear Differential Equations and Nonlinear Mechanics, New York, 1963. MR 149006
- 6.
- H. Seifert, Closed integral curves in 3-space and isotopic two-dimensional deformations, Proc. Amer. Math. Soc. 1 (1950), 287-302. MR 37508
- 7.
- F. Wecken, Fixpunktklassen, Math. Ann. 117 (1941), 659-671; 118 (1943), 216-234, 544-577.
Additional Information:
DOI:
10.1090/S0002-9904-1966-11580-X
PII:
S 0002-9904(1966)11580-X
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