@incollection{AST_1976__31__43_0, author = {Newhouse, S. and Palis, J.}, title = {Cycles and bifurcation theory}, booktitle = {Trois \'etudes en dynamique qualitative}, series = {Ast\'erisque}, pages = {43--140}, publisher = {Soci\'et\'e math\'ematique de France}, number = {31}, year = {1976}, mrnumber = {516408}, zbl = {0322.58009}, language = {en}, url = {http://www.numdam.org/item/AST_1976__31__43_0/} }
TY - CHAP AU - Newhouse, S. AU - Palis, J. TI - Cycles and bifurcation theory BT - Trois études en dynamique qualitative AU - Collectif T3 - Astérisque PY - 1976 SP - 43 EP - 140 IS - 31 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_1976__31__43_0/ LA - en ID - AST_1976__31__43_0 ER -
Newhouse, S.; Palis, J. Cycles and bifurcation theory, dans Trois études en dynamique qualitative, Astérisque, no. 31 (1976), pp. 43-140. http://www.numdam.org/item/AST_1976__31__43_0/
[1] The theory of bifurcations of dynamical systems on the plane, "Nauka," Moscow, 1967. (Russian) MR 38 #3539. | MR
and , , ,[2] Systemes grossiers, Dokl. Akad. Nauk. SSSR, vol. 14 (1937), 247-251. | JFM | Zbl
and ,[3] On one parameter families of diffeomorphisms, Comment. Math. Univ. Carolinae 11 (1970), 559-582. | EuDML | MR | Zbl
,[4] Differentiably -stable diffeomorphisms, Topology 11 (1972), 107-114. | DOI | MR | Zbl
,[5] On three dimensional dynamical systems close to systems with a structurally unstable homoclinic curve I, Math USSR Sbornik, Vol. 17 (1972), No. 4, 467-485. | DOI | MR | Zbl
and ,[6] Bifurcation and Catastrophe, Dynamical Systems, Ed. M. Peixoto, Academic Press, N. Y., 1973, 95-110. | MR | Zbl
,[7] Ordinary Differential Equations, J. Wiley and Sons, N. Y., 1964. | MR | Zbl
,[8] Stable manifolds and hyperbolic sets, Global Analysis, Proc. AMS Symp. in Pure Math., Vol. 14, 1970, 133-165. | DOI | MR | Zbl
and ,[9] Neighborhoods of hyperbolic sets, Invent. Math., Vol. 9 (1970), 121-134. | DOI | EuDML | MR | Zbl
, , , and ,[10] Invariant manifolds, to appear. | MR | Zbl
, , and ,[11] Stable and Random Motions in Dynamical Systems, Ann. of Math. Studies, No. 77, Princeton Univ. Press, Princeton, N. J., 1973. | MR | Zbl
,[12] On a theorem of Anosov, Jour. Diff. Equations 5 (1969), 411-440. | DOI | MR | Zbl
,[13] Lectures on Celestial Mechanics, Springer, Grundlehren Bd. 187, 1971. | MR | Zbl
and ,[14] Non-density of Axiom on , Global Analysis, Proc. AMS Symp in Pure Math, Vol. 14, 1970, 191-202. | MR | Zbl
,[15] Hyperbolic limit sets, Trans. AMS 167 (1972), 125-150. | DOI | MR | Zbl
,[16] Diffeomorphisms with infinitely many sinks, Topology, Vol. 13 (1974), 9-18. | DOI | MR | Zbl
,[17] On simple arcs between structurally stable systems, to appear. | Zbl
,[18] Bifurcations of Morse-Smale dynamical systems, Dynamical Systems, ed. M. Peixoto, Academic Press, N. Y., 1973, 303-366. | MR | Zbl
and ,[19] There is a simple arc between any two Morse-Smale flows, to appear.
and ,[20] On Morse-Smale dynamical systems, Topology 8 (1969), 385-405. | DOI | MR | Zbl
,[21] A note on -stability, Global Analysis, Proc. AMS Symp. in Pure Math., Vol. 14, Amer. Math. Soc., Providence, R. I., 1970, 221-222. | DOI | MR | Zbl
,[22] Structural stability theorems, Global Analysis, Proc. Symp. in Pure Math., Vol. 14, Amer. Math. Soc., Providence, R. I., 1970, 223-231. | DOI | MR | Zbl
and ,[23] Structural stability on two-dimensional manifolds, Topology 1 (1962), 101-120. | DOI | MR | Zbl
,[24] On the nature of turbulence, Comm. Math. Phys. 20 (1971), 167-192. | DOI | MR | Zbl
and ,[25] On invariant surfaces and Bifurcation of periodic solutions of ordinary differential equations, New York University, IMM-NYU, 333, October, 1964. | MR | Zbl
,[26] Structurally stable systems are dense, Bull. A.M.S., Vol. 78 (1972), 817-818. | DOI | MR | Zbl
,[27] Dynamical Systems, filtrations, and entropy, Bull. A.M.S., to appear. | MR | Zbl
,[28] Homology theory and dynamical systems, to appear. | MR | Zbl
and ,[29] On a new type of bifurcation of multidimensional dynamical systems, Sov. Math. Dokl., Vol. 10 (1969), No. 6, 1368-1371. | Zbl
,[30] On gradient dynamical systems, Ann. of Math. 74 (1961), 199-206. | DOI | MR | Zbl
,[31] Diffeomorphisms with many periodic points, Differential and Combinatorial Topology, Princeton Univ. Press, Princeton, N. J., 1965, 63-80. | MR | Zbl
,[32] Differentiable dynamical systems, Bull. A.M.S. 73 (1967), 747-817. | DOI | MR | Zbl
,[33] The -stability theorem, Global Analysis, Proc. Symp. Pure Math. 14, Amer. Math. Soc., Providence, R. I., 1970, 289-298. | DOI | MR | Zbl
,[34] Stability and Isotopy in discrete dynamical systems, Dynamical Systems, ed. M. Peixoto, Academic Press, N. Y., 1973, 527-530. | MR | Zbl
,[35] Generic one parameter families of vector fields on two dimensional manifolds, Publ. Math. I.H.E.S., to appear. | EuDML | Numdam | MR | Zbl
,[36] Generic bifurcations of Dynamical Systems, Dynamical Systems, ed. M. Peixoto, Academic Press, N. Y., 1973, 561-582. | MR | Zbl
,[37] Local contractions and a theorem of Poincaré, Amer. J. Math. 79 (1957), 809-824. | DOI | MR | Zbl
,[38] On the structure of local homeomorphisms of Euclidean -space II, ibid 80 (1958), 623-631. | MR | Zbl
,[39] Singularities of vector fields, to appear. | DOI
,[40] Stabilité Structurelle et Morphogénèse, Benjamin, N. Y. 1972. | MR | Zbl
,[41] The "DA" maps of Smale and structural stability, Global Analysis, Proc. Symp. Pure Math. 14, Amer. Math. Soc., Providence, R. I., 1970, 329-335. | DOI | MR | Zbl
,[42] Classification of subshifts of finite type, Ann. of Math. 98 (1973), 120-153. | DOI | MR | Zbl
,