@incollection{AST_1983__109-110__3_0, author = {Markus, Lawrence}, title = {Lie {Dynamical} {Systems} : {Dedicated} in {Friendship} to {Georges} {REEB}}, booktitle = {IIIe rencontre de g\'eom\'etrie du Schnepfenried Volume 2 - 10-15 mai 1982}, series = {Ast\'erisque}, pages = {3--66}, publisher = {Soci\'et\'e math\'ematique de France}, number = {109-110}, year = {1983}, zbl = {0564.57031}, mrnumber = {753143}, language = {en}, url = {http://www.numdam.org/item/AST_1983__109-110__3_0/} }
TY - CHAP AU - Markus, Lawrence TI - Lie Dynamical Systems : Dedicated in Friendship to Georges REEB BT - IIIe rencontre de géométrie du Schnepfenried Volume 2 - 10-15 mai 1982 AU - Collectif T3 - Astérisque PY - 1983 SP - 3 EP - 66 IS - 109-110 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_1983__109-110__3_0/ LA - en ID - AST_1983__109-110__3_0 ER -
%0 Book Section %A Markus, Lawrence %T Lie Dynamical Systems : Dedicated in Friendship to Georges REEB %B IIIe rencontre de géométrie du Schnepfenried Volume 2 - 10-15 mai 1982 %A Collectif %S Astérisque %D 1983 %P 3-66 %N 109-110 %I Société mathématique de France %U http://www.numdam.org/item/AST_1983__109-110__3_0/ %G en %F AST_1983__109-110__3_0
Markus, Lawrence. Lie Dynamical Systems : Dedicated in Friendship to Georges REEB, dans IIIe rencontre de géométrie du Schnepfenried Volume 2 - 10-15 mai 1982, Astérisque, no. 109-110 (1983), pp. 3-66. http://www.numdam.org/item/AST_1983__109-110__3_0/
1. Foundations of mechanics, 2nd edit., Benjamin, NY, 1978. | MR | Zbl
and2. Sur l'équivalence des systèmes différentiels, Ann. Inst. Fourier, Grenoble, 14, 83-86 (1964). | DOI | EuDML | Numdam | MR | Zbl
and3. Compact groups of differentiable transformations. Ann. of Math. 46, 372-381 (1945). | DOI | MR | Zbl
4. Ein Satz über stabile Bewegungen in der Ebene. Collected Math. Works of H. Bohr, vol. 2, Danish Math. Soc. Kobenhavn, 1952. | JFM | Zbl
and5. Seminar on Transformation Groups, Annals of Math. Studies, No. 46, Princeton Univ. Press, 1960. | MR | Zbl
6. Introduction to Compact Transformation Groups, Acad. Press, NY 1972. | MR | Zbl
7. Lie algebras and Lie groups in control theory, Symp. on Geometric Methods in Systems Theory, London, Reidel Press, 1973. | DOI | Zbl
8. Theory of ordinary differential equations, McGraw-Hill, NY 1955. | MR | Zbl
and9. Morse-Smale -actions on -manifolds, Internat. Symp. Dyn. Systems, Salvador, Acad. Press NY 1973. | MR | Zbl
10. Sur les courbes définies par les équations différentielles à la surface du tore, J. Analyse Math. 11, 333-375 (1932). | EuDML | JFM | Numdam
11. Lectures on algebraic topology, (2nd edition) Springer-Verlag NY 1980. | MR
12. Topological dynamics, Am. Math. Soc. Colloq. Publ. vol. 36, A.M.S. Providence, 1955. | MR | Zbl
and13. Ordinary differential equations, Wiley, NY 1964. | MR | Zbl
14. Quelques examples de feuilletages espèces rares. Ann. Institute Fourier 26, 239-269 (1976). | DOI | EuDML | Numdam | MR | Zbl
15. Some problems in differentiable transformation groups. Proc. Conf. Transf. groups, Springer-Verlag, NY 1968. | MR | Zbl
and ,16. Kurvenscharen auf den Ringflächen, Math. Ann. 91, 133-154 (1924). | DOI | EuDML | JFM | MR
(editor). Conference on transformation groups, Newcastle, Cambridge Univ. Press. NY 1977. |18. Commuting vector fields on , Proc. Am. Math. Soc. 15, 138-141 (1964). | MR | Zbl
19. Dynamic polysystems and control theory, Symp. on geometric methods in system theory, London, Reidel Press 1973. | DOI | Zbl
20. Lie Dynamical Systems, AMS 1972 also Symposium Lectures at Oberwolfach May 1971 and NRL-MRC in Washington D.C. in June 1971.
21. Parallel dynamical systems, Topology, 8, 47-57 (1969). | DOI | MR | Zbl
22. Lectures in differentiable dynamics (Revised edition), CBMS published by AMS, Providence 1980. | MR | Zbl
23. Generic Hamiltonian systems are neither integrable nor ergodic, Memoir 144 AMS 1974. | MR | Zbl
and24. Periodic orbits and solenoids in generic Hamiltonian dynamical systems, Am. J. Math. 102, 25-92 (1980). | DOI | MR | Zbl
and25. Free differentiable actions on homotopy spheres, Proc. Conf. on transformation groups, New Orleans, 175-192, Springer-Verlag, NY (1968). | DOI | MR | Zbl
and26. Topological transformation groups, Wiley, NY 1955. | MR | Zbl
and (editor) Proc. conf. on transformation groups, New Orleans, Springer-Verlag, NY 1968. |28. Actions of on -manifolds, Proc. conf. transf. groups. Springer-Verlag, NY 297-318 (1968). | DOI | MR | Zbl
and29. A global formulation of the Lie Theory of transformation groups, Memoir 22, Am. Math. Soc. 1957. | MR | Zbl
30. Topological groups, Princeton Univ. Press 1946. | JFM | MR
31. Axiom A Actions, Inventiones Math. 29, 7-38, (1975). | DOI | EuDML | MR | Zbl
and32. Poincaré-Bendixson Theorem does not hold for foliated -manifolds, Symposium at Oberwolfach, May 1971.
33. Classification of the actions of the circle on -manifolds, Trans. AMS 131, 51-78 (1968). | MR | Zbl
34. Sur les espaces fibres et les variétés feuilletées, Hermann, Paris 1952). | Zbl
(and )35. Foliations by planes, Topology 6, 131-138 (1967). | MR | Zbl
and36. Foliations and pseudogroups, Am. J. Math. 87, 79-102 (1965). | DOI | MR | Zbl
37. actions on sufaces, Am. J. Math 96, 511-528 (1974). | MR | Zbl
38. A generalization of Poincaré-Bendixson Theorem to closed two-dimensional manifolds, Am. J. Math. 85, 453-458 (1963). | DOI | MR | Zbl
39. Foundational essays on topological manifolds, smoothings, and triangulations. Ann. of Math Studies 88, Princeton Univ. Press 1977. | MR | Zbl
(et al)40. Algebraic Topology, McGraw-Hill, NY 1966. | MR | Zbl
41.
(et al) Symposium on diffeomorphisms and foliations University of Warwick. Report 1979.42.
(et al) Symposium on dynamical systems, chaos, and turbulence, University of Warwick, Report 1980.