@article{ASENS_1980_4_13_3_293_0, author = {Curtz, Paul}, title = {Stabilit\'e locale des syst\`emes quadratiques}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {293--302}, publisher = {Elsevier}, volume = {4e s{\'e}rie, 13}, number = {3}, year = {1980}, doi = {10.24033/asens.1383}, mrnumber = {82b:34034}, zbl = {0446.34034}, language = {fr}, url = {http://archive.numdam.org/articles/10.24033/asens.1383/} }
TY - JOUR AU - Curtz, Paul TI - Stabilité locale des systèmes quadratiques JO - Annales scientifiques de l'École Normale Supérieure PY - 1980 SP - 293 EP - 302 VL - 13 IS - 3 PB - Elsevier UR - http://archive.numdam.org/articles/10.24033/asens.1383/ DO - 10.24033/asens.1383 LA - fr ID - ASENS_1980_4_13_3_293_0 ER -
Curtz, Paul. Stabilité locale des systèmes quadratiques. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 13 (1980) no. 3, pp. 293-302. doi : 10.24033/asens.1383. http://archive.numdam.org/articles/10.24033/asens.1383/
[1] Sur les points singuliers multiples de systèmes dynamiques dans R2 [Annali di Mathematica pura ed applicata, sér. IV, n° 79, 1968, p. 35-69 (extrait d'une thèse, Aix-Marseille, 1967)]. | MR | Zbl
,[2] Zbl
, D.U., vol. II, n° 3, 1966, p. 353-360. |[3] Zbl
, D.U., vol. III, n° 7, 1967, p. 1060-1069. |[4] Quadratic Gradients on the Plane are Generically Morse-Smale (Journal of Differential Equations, vol. 33, n° 2, 1979, p. 159-166). | MR | Zbl
,[5] A Survey of Quadratic Systems (Journal of Differential Equations, vol. 2, n° 3, 1966, p. 293-304). | MR | Zbl
,[6] Classification and Analysis of Two-Dimensional Real Homogeneous Quadratic Differential Equation Systems (Journal of Differential Equation, vol. 32, n° 3, 1979, p. 311-334). | MR | Zbl
,[7] Bounded Quadratic Systems in the Plane (Journal of Differential Equations, vol. 7, n° 2, 1970, p. 251-273). | MR | Zbl
et ,[8] Zbl
, D.U., vol. IV, n° 8, 1968, p. 1421-1427. |[9] Zbl
, D.U., vol. XI, n° 2, 1975, p. 262-267. | , D.U., vol. VI, n° 10, 1970, p. 1780-1791. | , D.U., vol. XII, n° 9, 1976, p. 1557-1567. | , D.U., vol. XV, n° 2, 1979, p. 215-221. |[13] Zbl
, D.U., vol. VI, n° 10, 1970, p. 1772-1779. |[14] Zbl
, D.U., vol. IX, n° 3, 1973, p. 469-476. |[15] A Note on Quadratic Systems (Proceedings of the Royal Society of Edinburgh, Section A, vol. 72, n° 1, 1974, p. 17-37). | MR | Zbl
,[16] Zbl
et , D.U., vol. XIV, n° 9, 1978, p. 1589-1593. | et , D.U., vol. VII, n° 10, 1971, p. 1813-1818. |[18] Zbl
et , D.U., vol. VIII, n° 11, 1972, p. 1969-1976. |[19] Behaviour of the Period of Solutions of Certain Plane Autonomous Systems near Centers. Contributions to Differential Equations III, R.I.A.S. et Université du Maryland, 1964, p. 21-36, John Wiley, New York. | MR | Zbl
, , D.U., vol. I, n° 1, 1965, p. 82-95. | , D.U., vol. I, n° 2, 1965, p. 196-198. | et , D.U., vol. IX, n° 3, 1973, p. 449-455. |[23] Quadratic Differential Equations and Non-Associative Algebras (Ann. Math. Studies, vol. 45, 1960, p. 185-213, Princeton). | MR | Zbl
,[24] Two Dimensional Homogeneous Quadratic Differential Systems (S.I.A.M. Review, vol. 20, n° 1, 1978, p. 120-138). | MR | Zbl
,[25] Zbl
et , D.U., vol. XIV, n° 6, 1978, p. 1028-1033. |[26] Œuvres complètes, Gauthier-Villars, Paris, T. I, p. 1-222 (plusieurs éditions).
,[27] The Topography of Certain Curves defined by a differential Equation (Annals of Mathematics, vol. 11, 1910, p. 97-102). | JFM
,[28] Zbl
, D.U., vol. XI, n° 11, 1975, p. 2019-2026. |[29] Le cycle séparateur d'une équation... [Izv. Akaol Nauk. Uzbekistan, Physique mathématique, Tachkent, vol. 17, n° 5, 1973, p. 19-23 (en russe)]. | MR | Zbl
et ,[30] Classification of Generic Systems Vector Fields with no Limit Cycles [Colloque, Rio de Janeiro, juillet 1976 (Lecture Notes in Mathematics, n° 597, Geometry and Topology, Springer, 1977, p. 605-640)]. | Zbl
,[31] Conditions for Periodic Solutions of Volterra Differential Systems (Bulletin of Mathematical Biology, vol. 40, n° 2, 1978, p. 133-160). | MR | Zbl
,[32] Zbl
et , D.U., vol. X, n° 12, 1974, p. 2111-2124. |[33] Zbl
et , D.U., vol. XIII, n° 5, 1977, p. 803-814. |[34] Zbl
, D.U., vol. VI, n° 10, 1970, p. 1752-1760. |[35] Zbl
, D.U., vol. VII, n° 2, 1971, p. 279-285. |Cited by Sources: