-
1
-
-
0002764805
-
Proof of A. N. Kolmogorov's theorem on the preservation of quasi-periodic motions under small perturbations of the Hamiltonian
-
V. I. Arnol'd. Proof of A. N. Kolmogorov's theorem on the preservation of quasi-periodic motions under small perturbations of the Hamiltonian. Russian Math. Surveys 18. 1963. P. 9-36.
-
(1963)
Russian Math. Surveys
, vol.18
, pp. 9-36
-
-
Arnol'd, V.I.1
-
2
-
-
28644434035
-
A strengthened extremal property of Chebyshev polynomials
-
V. I. Bakhtin. A strengthened extremal property of Chebyshev polynomials. Matematika 42. 1987. P. 24-26.
-
(1987)
Matematika
, vol.42
, pp. 24-26
-
-
Bakhtin, V.I.1
-
3
-
-
0003813316
-
-
Preprint 32-98. Dipartimento di Matematica, Universit di Roma Tor Vergata
-
A. Berretti and G. Gentile. Bryuno Function and the Standard Map. Preprint 32-98. Dipartimento di Matematica, Universit di Roma Tor Vergata. P. 32.
-
Bryuno Function and the Standard Map
, pp. 32
-
-
Berretti, A.1
Gentile, G.2
-
4
-
-
0031287692
-
On Melnikov's persistency problem
-
J. Bourgain. On Melnikov's persistency problem. Math. Res. Lett. 4. 1997. P. 445-458.
-
(1997)
Math. Res. Lett.
, vol.4
, pp. 445-458
-
-
Bourgain, J.1
-
6
-
-
33947174096
-
On Conditions for Nondegeneracy in Kolmogorov's Theorem
-
A. D. Bruno. On Conditions for Nondegeneracy in Kolmogorov's Theorem. Soviet Math. Dokl. 45. 1992. P. 221-225.
-
(1992)
Soviet Math. Dokl.
, vol.45
, pp. 221-225
-
-
Bruno, A.D.1
-
7
-
-
0001078319
-
Existence of KAM Tori in Degenerate Hamiltonian Systems
-
Ch.-Q. Cheng and Y.-S. Sun. Existence of KAM Tori in Degenerate Hamiltonian Systems. J. Diff. Equ. 114. 1994. P. 288-335.
-
(1994)
J. Diff. Equ.
, vol.114
, pp. 288-335
-
-
Cheng, Ch.-Q.1
Sun, Y.-S.2
-
8
-
-
0000412297
-
Pertubations of stable invariant tori for Hamiltonian systems
-
L. H. Eliasson. Pertubations of stable invariant tori for Hamiltonian systems. Ann. Sc. Norm. Super. Pisa, CL Sci., IV. Ser. 15, 1988. P. 115-147.
-
(1988)
Ann. Sc. Norm. Super. Pisa, CL Sci., IV. Ser.
, vol.15
, pp. 115-147
-
-
Eliasson, L.H.1
-
9
-
-
0003053373
-
On the conservation of hyperbolic invariant tori for Hamiltonian systems
-
S. M. Graff. On the conservation of hyperbolic invariant tori for Hamiltonian systems. J. Diff. Equations 15. 1974. P. 1-69.
-
(1974)
J. Diff. Equations
, vol.15
, pp. 1-69
-
-
Graff, S.M.1
-
10
-
-
0001246972
-
On the persistence of conditionally periodic motions under a small change of the Hamilton function
-
A. N. Kolmogorov. On the persistence of conditionally periodic motions under a small change of the Hamilton function. Doklady Akad. Nauk SSSR, 98. 1954. P. 527-530.
-
(1954)
Doklady Akad. Nauk SSSR
, vol.98
, pp. 527-530
-
-
Kolmogorov, A.N.1
-
11
-
-
0001020164
-
On some cases of the conservation of-conditionally periodic motions under a small change of the Hamiltonian function
-
V. K. Melnikov. On some cases of the conservation of-conditionally periodic motions under a small change of the Hamiltonian function. Soviet Math. Dokl. 6. 1965. P. 1592-1596.
-
(1965)
Soviet Math. Dokl.
, vol.6
, pp. 1592-1596
-
-
Melnikov, V.K.1
-
12
-
-
3042570326
-
Convergent series expansions for quasi-periodic motions
-
J. Moser. Convergent series expansions for quasi-periodic motions. Math. Ann. 169. 1967. P. 136-176.
-
(1967)
Math. Ann.
, vol.169
, pp. 136-176
-
-
Moser, J.1
-
13
-
-
0003292012
-
Stable and random motions in dynamical systems
-
Princeton University Press, Princeton, New Jersey
-
J. Moser. Stable and random motions in dynamical systems. (Annals of Mathematics Studies Number 77). Princeton University Press, Princeton, New Jersey 1973.
-
(1973)
Annals of Mathematics Studies Number 77
-
-
Moser, J.1
-
14
-
-
0001493161
-
Germes de feulletages holomorphes à holomie prescrite
-
R. Pérez-Marco and J.-C. Yoccoz. Germes de feulletages holomorphes à holomie prescrite. Asterisque 222. 1994. P. 345-371.
-
(1994)
Asterisque
, vol.222
, pp. 345-371
-
-
Pérez-Marco, R.1
Yoccoz, J.-C.2
-
15
-
-
0000882204
-
On elliptic lower dimensional tori in Hamiltonian systems
-
J. Pöschel. On elliptic lower dimensional tori in Hamiltonian systems. Math. Z. 202. 1989. P. 559-608.
-
(1989)
Math. Z.
, vol.202
, pp. 559-608
-
-
Pöschel, J.1
-
16
-
-
0002103708
-
Avoiding the Jordan canonical form in the discussion of linear systems with constant coefficients
-
E. J. Putzer. Avoiding the Jordan canonical form in the discussion of linear systems with constant coefficients. Am. Math. Monthly 73. 1966. P. 2-4.
-
(1966)
Am. Math. Monthly
, vol.73
, pp. 2-4
-
-
Putzer, E.J.1
-
17
-
-
0001575219
-
Diophantine approximation on submanifolds of Euclidean space
-
A. S. Pyartli. Diophantine approximation on submanifolds of Euclidean space. Funct. Anal. Appl. 3. 1969. P. 303-306.
-
(1969)
Funct. Anal. Appl.
, vol.3
, pp. 303-306
-
-
Pyartli, A.S.1
-
18
-
-
0006666123
-
On the existence of invariant curves of twist mappings of an annulus
-
H. Rüssmann. On the existence of invariant curves of twist mappings of an annulus. Geometric Dynamics. Springer Lecture Notes 1007, 1983. P. 677-718.
-
(1983)
Geometric Dynamics. Springer Lecture Notes
, vol.1007
, pp. 677-718
-
-
Rüssmann, H.1
-
19
-
-
0009179791
-
Non-degeneracy in the perturbation theory of integrable dynamical systems
-
H. Rüssmann. Non-degeneracy in the perturbation theory of integrable dynamical systems. London Math. Soc. Lecture Note Series 134. 1989. P. 5-18.
-
(1989)
London Math. Soc. Lecture Note Series
, vol.134
, pp. 5-18
-
-
Rüssmann, H.1
-
20
-
-
0040170409
-
Nondegeneracy in the perturbation theory of integrable dynamical systems. Stochastics, Algebra and Analysis in Classical and Quantum Dynamics
-
Kluwer Academic
-
H. Rüssmann. Nondegeneracy in the perturbation theory of integrable dynamical systems. Stochastics, Algebra and Analysis in Classical and Quantum Dynamics, Math. and its Appl. V. 59. P. 211-223. Kluwer Academic 1990.
-
(1990)
Math. and Its Appl.
, vol.59
, pp. 211-223
-
-
Rüssmann, H.1
-
21
-
-
0001993891
-
On the frequencies of quasi periodic solution of analytic nearly integrable Hamiltonian systems
-
Euler Int. Math. Inst. St. Petersburg . PNLDE 12. Birkhauser
-
H. Rüssmann. On the frequencies of quasi periodic solution of analytic nearly integrable Hamiltonian systems. Seminar on Dynamical Systems. Euler Int. Math. Inst. St. Petersburg 1991. PNLDE 12. P. 160-183. Birkhauser 1994.
-
(1991)
Seminar on Dynamical Systems
, pp. 160-183
-
-
Rüssmann, H.1
-
22
-
-
0000853669
-
KAM-stable Hamiltonians
-
M. B. Sevryuk. KAM-stable Hamiltonians. J. Dynam. Control Syst. 1. 1995. P. 351-366.
-
(1995)
J. Dynam. Control Syst.
, vol.1
, pp. 351-366
-
-
Sevryuk, M.B.1
-
23
-
-
33748608527
-
Invariant tori of Hamiltonian systems nondegenerate in the sense of Rüssmann
-
M. B. Sevryuk. Invariant tori of Hamiltonian systems nondegenerate in the sense of Rüssmann. Dokl. Akad. Nauk 346. 1996. P. 590-593.
-
(1996)
Dokl. Akad. Nauk
, vol.346
, pp. 590-593
-
-
Sevryuk, M.B.1
-
27
-
-
0031285618
-
Invariant tori for nearly integrable Hamiltonian systems with degeneracy
-
J. Xu, J. You, and Q. Qiu. Invariant tori for nearly integrable Hamiltonian systems with degeneracy. Math. Z. 226. 1997. P. 375-387.
-
(1997)
Math. Z.
, vol.226
, pp. 375-387
-
-
Xu, J.1
You, J.2
Qiu, Q.3
-
28
-
-
52549089855
-
Persistence of Lower Dimensional Tori under the First Melnikov's Non-resonance Condition
-
to appear
-
J. Xu and J. You. Persistence of Lower Dimensional Tori Under the First Melnikov's Non-resonance Condition. J. des Math. Pures et Apliquees to appear.
-
J. des Math. Pures et Apliquees
-
-
Xu, J.1
You, J.2
-
29
-
-
0002867478
-
Linéarization des germes de difféomorphismes holomorphes de (ℂ, 0)
-
J.-C. Yoccoz. Linéarization des germes de difféomorphismes holomorphes de (ℂ, 0). C. R. Acad. Sci. Paris 306. 1988. P. 55-58.
-
(1988)
C. R. Acad. Sci. Paris
, vol.306
, pp. 55-58
-
-
Yoccoz, J.-C.1
-
30
-
-
0002419166
-
Petit diviseurs en dimension 1
-
J.-C. Yoccoz. Petit diviseurs en dimension 1. Astérisque 231. 1995.
-
(1995)
Astérisque
, vol.231
-
-
Yoccoz, J.-C.1
-
31
-
-
0033540589
-
Perturbation of Lower Dimensional Tori for Hamiltonian Systems
-
J. You. Perturbation of Lower Dimensional Tori for Hamiltonian Systems. J. Differential Equations 152. 1999. P. 1-29.
-
(1999)
J. Differential Equations
, vol.152
, pp. 1-29
-
-
You, J.1
-
32
-
-
84980189959
-
Generalized implicit function theorems with applications to some small divisor problems, I and II
-
E. Zehnder. Generalized implicit function theorems with applications to some small divisor problems, I and II. Comm. Pure Appl. Math. 28. 1975. P. 91-140
-
(1975)
Comm. Pure Appl. Math.
, vol.28
, pp. 91-140
-
-
Zehnder, E.1
|