-
1
-
-
0033074586
-
Scaling properties for the radius of convergence of a Lindstedt series: The standard map
-
A. Berretti and G. Gentile, Scaling properties for the radius of convergence of a Lindstedt series: The standard map, J. Math. Pures. Appl. (9) 78 (2) (1999) 159-176.
-
(1999)
J. Math. Pures. Appl. (9)
, vol.78
, Issue.2
, pp. 159-176
-
-
Berretti, A.1
Gentile, G.2
-
3
-
-
0000157252
-
Natural boundaries for area-preserving twist maps
-
A. Berretti, A. Celletti, L. Chierchia and C. Falcolini, Natural boundaries for area-preserving twist maps, J. Stat. Phys. 66 (5-6) (1992) 1613-1630.
-
(1992)
J. Stat. Phys.
, vol.66
, Issue.5-6
, pp. 1613-1630
-
-
Berretti, A.1
Celletti, A.2
Chierchia, L.3
Falcolini, C.4
-
4
-
-
0000417128
-
Numerical calculation of domains of analyticity for perturbation theories in presence of small divisors
-
C. Falcolini and R. De La Llave, Numerical calculation of domains of analyticity for perturbation theories in presence of small divisors, J. Stat. Phys. 67 (3-4) (1992) 645-666.
-
(1992)
J. Stat. Phys.
, vol.67
, Issue.3-4
, pp. 645-666
-
-
Falcolini, C.1
De La Llave, R.2
-
5
-
-
0002301546
-
Scaling, perturbative renormalization and analyticity for the standard map and some generalizations
-
A. Berretti and S. Marmi, Scaling, perturbative renormalization and analyticity for the standard map and some generalizations, Chaos Solitons Fractals 5 (2) (1995) 257-269.
-
(1995)
Chaos Solitons Fractals
, vol.5
, Issue.2
, pp. 257-269
-
-
Berretti, A.1
Marmi, S.2
-
6
-
-
0002197783
-
Analyticity, scaling and renormalization for some complex analytic dynamical systems
-
A. Berretti, Analyticity, scaling and renormalization for some complex analytic dynamical systems, Planet. Space Sci. 46 (1998) 1487-1497.
-
(1998)
Planet. Space Sci.
, vol.46
, pp. 1487-1497
-
-
Berretti, A.1
-
7
-
-
0004029931
-
-
Encyclopaedia of Mathematical Sciences, Springer, Berlin
-
D. V. Anosov and V.I. Arnol'd, Dynamical Systems I. Ordinary Differential Equations and Smooth Dynamical Systems, Encyclopaedia of Mathematical Sciences, Vol. 1, Springer, Berlin, 1988.
-
(1988)
Dynamical Systems I. Ordinary Differential Equations and Smooth Dynamical Systems
, vol.1
-
-
Anosov, D.V.1
Arnol'd, V.I.2
-
8
-
-
0003406478
-
-
Encyclopedia of Mathematics and its Applications, Cambridge University Press, Cambridge
-
A. Katok and B. Hasselblatt, Introduction to the Modern Theory of Dynamical Systems, Encyclopedia of Mathematics and its Applications, Vol. 54, Cambridge University Press, Cambridge, 1995.
-
(1995)
Introduction to the Modern Theory of Dynamical Systems
, vol.54
-
-
Katok, A.1
Hasselblatt, B.2
-
9
-
-
0001353041
-
The critical function for the semistandard map
-
A.M. Davie, The critical function for the semistandard map, Nonlinearity 7 (1) (1994) 219-229.
-
(1994)
Nonlinearity
, vol.7
, Issue.1
, pp. 219-229
-
-
Davie, A.M.1
-
11
-
-
0001712248
-
Methods for the analysis of the Lindstedt series for KAM tori and renormalizability in classical mechanics. A review with some applications
-
G. Gentile and V. Mastropietro, Methods for the analysis of the Lindstedt series for KAM tori and renormalizability in classical mechanics. A review with some applications, Rev. Math. Phys. 8 (3) (1996) 393-444.
-
(1996)
Rev. Math. Phys.
, vol.8
, Issue.3
, pp. 393-444
-
-
Gentile, G.1
Mastropietro, V.2
-
12
-
-
21344496040
-
Twistless KAM tori
-
G. Gallavotti, Twistless KAM tori, Comm. Math. Phys. 164 (1) (1994) 145-156.
-
(1994)
Comm. Math. Phys.
, vol.164
, Issue.1
, pp. 145-156
-
-
Gallavotti, G.1
-
13
-
-
0000446018
-
Twistless KAM tori, quasiflat homoclinic intersections, and other cancellations in the perturbation series of certain completely integrable Hamiltonian systems. A review
-
G. Gallavotti, Twistless KAM tori, quasiflat homoclinic intersections, and other cancellations in the perturbation series of certain completely integrable Hamiltonian systems. A review, Rev. Math. Phys. 6 (3) (1994) 343-411.
-
(1994)
Rev. Math. Phys.
, vol.6
, Issue.3
, pp. 343-411
-
-
Gallavotti, G.1
-
14
-
-
0000818904
-
KAM theorem revisited
-
G. Gentile and V. Mastropietro, KAM theorem revisited, Phys. D 90 (3) (1996) 225-234.
-
(1996)
Phys. D
, vol.90
, Issue.3
, pp. 225-234
-
-
Gentile, G.1
Mastropietro, V.2
-
15
-
-
3042561484
-
Absolutely convergent series expansions for quasi-periodic motions
-
University of Stockholm preprint, paper 4
-
L.H. Eliasson, Absolutely convergent series expansions for quasi-periodic motions, University of Stockholm preprint, 1988, and Math. Phys. Electron. J. 2 (1996), paper 4, 1-33,
-
(1988)
Math. Phys. Electron. J.
, vol.2
, pp. 1-33
-
-
Eliasson, L.H.1
-
16
-
-
0003808029
-
-
Gauthier-Villars, Paris
-
H. Poincaré, Les Méthodes Nouvelles de la Mécanique Céleste, Gauthier-Villars, Paris, Vol. I, 1892, Vol. II, 1893, Vol. III, 1899.
-
(1892)
Les Méthodes Nouvelles de la Mécanique Céleste
, vol.1-3
-
-
Poincaré, H.1
-
17
-
-
0000788006
-
Invariant manifolds of complex analytic mappings
-
K. Osterwalder and R. Stora (Eds.), North-Holland, Amsterdam
-
J. Pöschel, Invariant manifolds of complex analytic mappings, in: K. Osterwalder and R. Stora (Eds.), Les Houches XLIII (1984), North-Holland, Amsterdam, Vol. II, 1986, pp. 949-964.
-
(1984)
Les Houches XLIII
, vol.2
, pp. 949-964
-
-
Pöschel, J.1
-
18
-
-
0001851184
-
On invariant curves of area preserving mappings of the annulus
-
1962
-
J. Moser, On invariant curves of area preserving mappings of the annulus, Nachr. Akad. Wiss. Göttingen, Math. Phys. Kl. II 1962 (1962) 1-20.
-
(1962)
Nachr. Akad. Wiss. Göttingen, Math. Phys. Kl. II
, pp. 1-20
-
-
Moser, J.1
-
19
-
-
0000692506
-
A direct proof of a theorem by Kolmogorov in Hamiltonian systems
-
L. Chierchia and C. Falcolini, A direct proof of a theorem by Kolmogorov in Hamiltonian systems, Ann. Scuola Norm. Sup. Pisa Cl Sci. (4) 21 (4) (1994) 541-593.
-
(1994)
Ann. Scuola Norm. Sup. Pisa Cl Sci. (4)
, vol.21
, Issue.4
, pp. 541-593
-
-
Chierchia, L.1
Falcolini, C.2
-
21
-
-
85031549624
-
-
Abelian Functions, reprint of the 1897 original, Cambridge University Press, Cambridge
-
H.F. Baker, Abelian Functions, reprint of the 1897 original, Cambridge University Press, Cambridge, 1995.
-
(1995)
-
-
Baker, H.F.1
-
22
-
-
0003985817
-
Topics in complex function theory
-
Wiley, New York
-
C.L. Siegel, Topics in complex function theory, Wiley, New York, Vol. I. Elliptic Functions and Uniformization Theory, 1969; Vol. II. Automorphic Functions and Abelian Integrals, 1971; Vol. III. Abelian Functions and Modular Functions of Several Variables, 1973.
-
(1969)
Elliptic Functions and Uniformation Theory
, vol.1
-
-
Siegel, C.L.1
-
23
-
-
0002007422
-
-
C.L. Siegel, Topics in complex function theory, Wiley, New York, Vol. I. Elliptic Functions and Uniformization Theory, 1969; Vol. II. Automorphic Functions and Abelian Integrals, 1971; Vol. III. Abelian Functions and Modular Functions of Several Variables, 1973.
-
(1971)
Automorphic Functions and Abelian Integrals
, vol.2
-
-
-
24
-
-
0002296485
-
-
C.L. Siegel, Topics in complex function theory, Wiley, New York, Vol. I. Elliptic Functions and Uniformization Theory, 1969; Vol. II. Automorphic Functions and Abelian Integrals, 1971; Vol. III. Abelian Functions and Modular Functions of Several Variables, 1973.
-
(1973)
Abelian Functions and Modular Functions of Several Variables
, vol.3
-
-
-
26
-
-
0002419165
-
Théorème de Siegel, nombres de Bruno et polynômes quadratiques
-
J.-C. Yoccoz, Théorème de Siegel, nombres de Bruno et polynômes quadratiques, Astérisque 231 (1995) 3-88.
-
(1995)
Astérisque
, vol.231
, pp. 3-88
-
-
Yoccoz, J.-C.1
|