LECTURES ON BIFURCATIONS IN VERSAL FAMILIES

Differentiable Dynamical Systems

1980 • 2,674 citations

Asymptotic expansions for ordinary differential equations

1965 • 1,677 citations

Groups of Diffeomorphisms and the Motion of an Incompressible Fluid

1970 • 1,222 citations

On the Nature of Turbulence

1995 • 710 citations

A New Decision Method for Elementary Algebra

1954 • 546 citations

On the solutions of analytic equations

1968 • 472 citations

ON MATRICES DEPENDING ON PARAMETERS

1971 • 434 citations

Ensembles et morphismes stratifiés

1969 • 397 citations

Singularities of differentiable mappings

1971 • 390 citations

Triangulation of semi-analytic sets

1964 • 387 citations

On Singularities of Mappings of Euclidean Spaces. I. Mappings of the Plane Into the Plane

1992 • 358 citations

Normal forms for functions near degenerate critical points, the Weyl groups of Ak, Dk, Ek and Lagrangian singularities

1973 • 332 citations

A lemma in the theory of structural stability of differential equations

1960 • 288 citations

Stability of C{su∞} mappings, III: Finitely determined map-germsmappings, III: Finitely determined map-germs

1968 • 254 citations

Stratifications and Mappings††AMS (MOS) 1970 SUBJECT CLASSIFICATION: 58C25.‡‡This Chapter is based on lectures I gave at the Dynamical Systems conference. I wrote up these lectures partly during a stay at IMPA. I have developed these ideas over a period of years at Princeton, IHES, Harvard, and while supported by a Sloan fellowship and NSF grant GP-9566.I would like to thank all these institutions for their aid.

1973 • 183 citations

Structurally Stable Systems are not Dense

1966 • 155 citations

On the local linearization of differential equations

1963 • 147 citations

Some open questions in the theory of singularities

1971 • 142 citations

On the Integrals of Canonical Systems

1941 • 122 citations

SINGULARITIES OF SMOOTH MAPPINGS

1968 • 120 citations

�ber die Existenz einer Normalform analytischerHamiltonscher Differentialgleichungen in der N�he einer Gleichgewichtsl�sung

1954 • 117 citations

Note concerning our paper: ``On the nature of turbulence''

1971 • 112 citations

THE OBLIQUE DERIVATIVE PROBLEM

1969 • 95 citations

On C0-sufficiency of jets of potential functions

1969 • 95 citations

Deformationen von Singularit�ten komplexer R�ume

1964 • 78 citations

Solutions d'un système d'équations différentielles dans le voisinage de valeurs singulières

1912 • 77 citations

ASYMPTOTIC PROPERTIES OF POLYNOMIALS AND ALGEBRAIC FUNCTIONS OF SEVERAL VARIABLES

1961 • 72 citations

THEOREMS ON THE TOPOLOGICAL EQUISINGULARITY OF FAMILIES OF ALGEBRAIC VARIETIES AND FAMILIES OF POLYNOMIAL MAPPINGS

1972 • 67 citations

A complete determination ofC 0-sufficiency inJ r (2,1)

1969 • 21 citations

A note on sufficiency of jets

1971 • 18 citations

The equivalence of a smooth function to a Taylor polynomial in the neighborhood of a finite-type critical point

1969 • 12 citations

Carl Ludwig Siegel (o. Prof. a. d. Univ. Göttingen) Vorlesungen über Himmelsmechanik. (Grundlehren der mathematischen Wissenschaften, Bd. LXXXV). IX + 212 S. Berlin/Göttingen/Heidelberg 1956. Springer‐Verlag. Preis geh. 29,80 DM, geb. 33,— DM

1957 • 9 citations

Versal family of vector fields of a Poincar� domain

1970 • 5 citations

On the germs of analytic mappings whose topological type is determined by a finite jet

1973 • 2 citations

SOME TRANSVERSALITY THEOREMS

1971 • 1 citations