Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case

[1]  P. Hartman Ordinary Differential Equations , 1965 .

[2]  P. Brunovksý One-parameter families of diffeomorphisms , 1971 .

[3]  Shlomo Sternberg,et al.  On the Structure of Local Homeomorphisms of Euclidean n-Space, II , 1958 .

[4]  D. Saari,et al.  Stable and Random Motions in Dynamical Systems , 1975 .

[5]  F. Takens,et al.  On the nature of turbulence , 1971 .

[6]  R. Narasimhan,et al.  Analysis on Real and Complex Manifolds , 1973 .

[7]  V. Varadarajan Lie groups, Lie algebras, and their representations , 1974 .

[8]  F. Dumortier,et al.  Germs of Diffeomorphisms in the Plane , 1981 .

[9]  Jorge Sotomayor,et al.  Generic one-parameter families of vector fields on two-dimensional manifolds , 1968 .

[10]  H. Broer Bifurcations of singularities in volume preserving vector fields , 1979 .

[11]  Floris Takens,et al.  A Nonstabilizable Jet of a Singularity of a Vector Field , 1973 .

[12]  J. Marsden,et al.  Groups of diffeomorphisms and the motion of an incompressible fluid , 1970 .

[13]  V. Arnold LECTURES ON BIFURCATIONS IN VERSAL FAMILIES , 1972 .

[14]  H. Broer,et al.  Quasi periodic flow near a codimension one singularity of a divergence free vector field in dimension three , 1981 .

[15]  Floris Takens,et al.  Singularities of vector fields , 1974 .

[16]  J. Mather,et al.  Stratifications and Mappings , 1973 .

[17]  F. Takens Homoclinic points in conservative systems , 1972 .

[18]  R. Robinson,et al.  GENERIC PROPERTIES OF CONSERVATIVE SYSTEMS. , 1970 .

[19]  Valentin Poènaru,et al.  Singularités C「上∞上」 en présence de symétrie : en particulier en présence de la symétrie d'un groupe de Lie compact , 1976 .

[20]  Shlomo Sternberg,et al.  THE STRUCTURE OF LOCAL HOMEOMORPHISMS, III*1 , 1959 .

[21]  F. Takens,et al.  Topological equivalence of normally hyperbolic dynamical systems , 1977 .

[22]  L. P. Šil'nikov,et al.  A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE , 1970 .