Continuous Flows in the Plane
作者： Anatole Beck
DOI:
关键词: Jordan curve theorem 、 Structure (category theory) 、 Pure mathematics 、 Periodic orbits 、 Mathematics 、 Geometry 、 Algebraic number 、 Plane (geometry)
摘要: 1 Elementary Properties of Flows.- Notes and Remarks to Chapter 1.- 2 Special Plane 2.- 3 Regular Singular Points.- 3.- 4 Reparametrization I.- 4.- 5 II.- 5.- 6 Existence Theorems 6.- 7 remarks 7.- 8 Algebraic Combinations Flows 9 Chapters 9.- 10 Fine Structure in $$ {G_r}\left( \varphi \right) $$.- 11 {G_s}\left( \right){\text{I}} 12 \right){\text{II}} Appendix A Topology.- B The Kurzweil Integral.- C Some the Plane.- Epilogue.
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Anatole Beck, Plane flows with closed orbits Transactions of the American Mathematical Society. ,vol. 114, pp. 539- 551 ,(1965) , 10.1090/S0002-9947-1965-0175105-7
Anatole Beck, Plane flows with few stagnation points Bulletin of the American Mathematical Society. ,vol. 71, pp. 886- 890 ,(1965) , 10.1090/S0002-9904-1965-11428-8
Anatole Beck, On Invariant Sets The Annals of Mathematics. ,vol. 67, pp. 99- ,(1958) , 10.2307/1969929