-
1
-
-
0000877933
-
Instability of dynamical systems with several degrees of freedom
-
Arnold V I 1964 Instability of dynamical systems with several degrees of freedom Sov. Math. Dokl. 5 581-5
-
(1964)
Sov. Math. Dokl.
, vol.5
, pp. 581-585
-
-
Arnold, V.I.1
-
4
-
-
84968172188
-
Examples of non-integrable analytic Hamiltonian vectorfields with no small divisors
-
Cushman R 1978 Examples of non-integrable analytic Hamiltonian vectorfields with no small divisors Trans. Am. Math. Soc. 238 45-55
-
(1978)
Trans. Am. Math. Soc.
, vol.238
, pp. 45-55
-
-
Cushman, R.1
-
5
-
-
21144460556
-
An asymptotic expression for the splitting of separatrices of the rapidly forced pendulum
-
Delshams A and Seara T M 1992 An asymptotic expression for the splitting of separatrices of the rapidly forced pendulum Commun. Math. Phys 150 433-63
-
(1992)
Commun. Math. Phys
, vol.150
, pp. 433-463
-
-
Delshams, A.1
Seara, T.M.2
-
7
-
-
0002352398
-
Computing the dependence on a parameter of a family of unstable manifolds: Generalized Melnikov formulas
-
Easton R W 1984 Computing the dependence on a parameter of a family of unstable manifolds: generalized Melnikov formulas Nonlinear Anal. Theor., Method. Appl. 8 1-4
-
(1984)
Nonlinear Anal. Theor., Method. Appl.
, vol.8
, pp. 1-4
-
-
Easton, R.W.1
-
8
-
-
84971996008
-
The splitting of separatrices for analytic diffeomorphisms
-
Fontich E and Simó C 1990 The splitting of separatrices for analytic diffeomorphisms Ergod. Theor. Dynam. Syst. 10 295-318
-
(1990)
Ergod. Theor. Dynam. Syst.
, vol.10
, pp. 295-318
-
-
Fontich, E.1
Simó, C.2
-
9
-
-
0000523039
-
Perturbation of a Hopf bifurcation by an external time-periodic forcing
-
Gambaudo J M 1985 Perturbation of a Hopf bifurcation by an external time-periodic forcing J. Diff. Eq. 57 172-99
-
(1985)
J. Diff. Eq.
, vol.57
, pp. 172-199
-
-
Gambaudo, J.M.1
-
12
-
-
0001327147
-
Exponentially small splittings in Hamiltonian systems
-
Gelfreich V G, Lazutkin V F and Tabanov M B 1991 Exponentially small splittings in Hamiltonian systems Chaos 1 137-42
-
(1991)
Chaos
, vol.1
, pp. 137-142
-
-
Gelfreich, V.G.1
Lazutkin, V.F.2
Tabanov, M.B.3
-
13
-
-
0002439526
-
A refined formula for the separatrix splitting for the standard map
-
Gelfreich V G, Lazutkin V F and Svanidze N V 1994 A refined formula for the separatrix splitting for the standard map Physica 71D 82-101
-
(1994)
Physica
, vol.71 D
, pp. 82-101
-
-
Gelfreich, V.G.1
Lazutkin, V.F.2
Svanidze, N.V.3
-
15
-
-
0003226154
-
Billiards: A genetic introduction to the dynamics of systems with impacts
-
Providence, RI: AMS Publications
-
Kozlov V V and Treshchev D V 1991 Billiards: a genetic introduction to the dynamics of systems with impacts (Trans. Math. Mon. 89) (Providence, RI: AMS Publications)
-
(1991)
Trans. Math. Mon. 89
-
-
Kozlov, V.V.1
Treshchev, D.V.2
-
16
-
-
0039541744
-
Splitting of complex separatrices
-
Lazutkin V F 1988 Splitting of complex separatrices Func. Anal. Appl. 22 154-6
-
(1988)
Func. Anal. Appl.
, vol.22
, pp. 154-156
-
-
Lazutkin, V.F.1
-
19
-
-
0000378443
-
Séparation des śparatrices du billiard elliptique pour une perturbation algébrique et symétrique de l'ellipse
-
Levallois P and Tabanov M B 1993 Séparation des śparatrices du billiard elliptique pour une perturbation algébrique et symétrique de l'ellipse C. R. Acad. Sci. Paris 316 589-92
-
(1993)
C. R. Acad. Sci. Paris
, vol.316
, pp. 589-592
-
-
Levallois, P.1
Tabanov, M.B.2
-
20
-
-
0003037115
-
A problem in the stability of periodic systems
-
Colorado Association University Press
-
McMillan E M 1971 A problem in the stability of periodic systems Topics in Modern Physics (Colorado Association University Press) pp 219-44
-
(1971)
Topics in Modern Physics
, pp. 219-244
-
-
McMillan, E.M.1
-
21
-
-
0001834849
-
On the stability of the center for time periodic perturbations
-
Melnikov V K 1963 On the stability of the center for time periodic perturbations Trans. Moscow Math. Soc. 12 3-56
-
(1963)
Trans. Moscow Math. Soc.
, vol.12
, pp. 3-56
-
-
Melnikov, V.K.1
-
22
-
-
84980087693
-
The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
-
Moser J 1956 The analytic invariants of an area-preserving mapping near a hyperbolic fixed point Commun. Pure Appl. Math. 9 673-92
-
(1956)
Commun. Pure Appl. Math.
, vol.9
, pp. 673-692
-
-
Moser, J.1
-
24
-
-
0002885252
-
Integrable mappings of the standard type
-
Suris Yu B 1989 Integrable mappings of the standard type Funct. Anal. Appl. 23 74-6
-
(1989)
Funct. Anal. Appl.
, vol.23
, pp. 74-76
-
-
Suris, Yu.B.1
-
25
-
-
22244446035
-
Splitting of separatrices for Birkhoff's billiard under some symmetrical perturbation of an ellipse
-
Tabanov M B 1993 Splitting of separatrices for Birkhoff's billiard under some symmetrical perturbation of an ellipse Prépublications Math. de l'U.R.A. 212 p 65
-
(1993)
Prépublications Math. de l'U.R.A. 212
, pp. 65
-
-
Tabanov, M.B.1
-
26
-
-
0001646091
-
Separatrices splitting for Birkhoff's billiard in symmetric convex domain, closed to an ellipse
-
Tabanov M B 1994 Separatrices splitting for Birkhoff's billiard in symmetric convex domain, closed to an ellipse Chaos 4 595-606
-
(1994)
Chaos
, vol.4
, pp. 595-606
-
-
Tabanov, M.B.1
-
27
-
-
0003272505
-
Global bifurcations and chaos: Analytical methods
-
Berlin: Springer
-
Wiggins S 1990 Global bifurcations and chaos: Analytical methods Applied Mathematical Sciencies vol 73 (Berlin: Springer)
-
(1990)
Applied Mathematical Sciencies
, vol.73
-
-
Wiggins, S.1
-
28
-
-
0013290492
-
Splitting of separatrices, branching of solutions and nonexistence of an integral in the dynamics of a solid body
-
Ziglin S L 1982 Splitting of separatrices, branching of solutions and nonexistence of an integral in the dynamics of a solid body Trans. Moscow Math. Soc. 41 282-98
-
(1982)
Trans. Moscow Math. Soc.
, vol.41
, pp. 282-298
-
-
Ziglin, S.L.1
|