-
1
-
-
0002157395
-
A variational interpretation of Melnikov's function and exponentially small separatrix splitting
-
Cambridge University Press, Cambridge
-
S. Angenent, A variational interpretation of Melnikov's function and exponentially small separatrix splitting, Symplectic Geometry, London Mathematical Society, Lecture Note Series, vol. 192, Cambridge University Press, Cambridge, 1993, pp. 5-35.
-
(1993)
Symplectic Geometry, London Mathematical Society, Lecture Note Series
, vol.192
, pp. 5-35
-
-
Angenent, S.1
-
2
-
-
0000877933
-
Instability of dynamical systems with several degrees of freedom
-
V.I. Arnold Instability of dynamical systems with several degrees of freedom Soviet Math. Dokl. 5 1964 581-585
-
(1964)
Soviet Math. Dokl.
, vol.5
, pp. 581-585
-
-
Arnold, V.I.1
-
3
-
-
0742285264
-
Exponentially small splitting of invariant manifolds of parabolic points
-
I. Baldomá E. Fontich Exponentially small splitting of invariant manifolds of parabolic points Mem. Amer. Math. Soc. 167 792 2004 x+83
-
(2004)
Mem. Amer. Math. Soc.
, vol.167
, Issue.792
-
-
Baldomá, I.1
Fontich, E.2
-
5
-
-
0002325254
-
Poincaré-Melnikov-Arnold method for analytic planar maps
-
A. Delshams R. Ramírez-Ros Poincaré-Melnikov-Arnold method for analytic planar maps Nonlinearity 9 1996 1-26
-
(1996)
Nonlinearity
, vol.9
, pp. 1-26
-
-
Delshams, A.1
Ramírez-Ros, R.2
-
6
-
-
0000467096
-
Exponentially small splitting of separatrices for perturbed integrable standard-like maps
-
A. Delshams R. Ramírez-Ros Exponentially small splitting of separatrices for perturbed integrable standard-like maps J. Nonlinear Sci. 8 1998 317-352
-
(1998)
J. Nonlinear Sci.
, vol.8
, pp. 317-352
-
-
Delshams, A.1
Ramírez-Ros, R.2
-
7
-
-
21144460556
-
An asymptotic expression for the splitting of separatrices of the rapidly forced pendulum
-
A. Delshams T.M. Seara An asymptotic expression for the splitting of separatrices of the rapidly forced pendulum Comm. Math. Phys. 150 1992 433-463
-
(1992)
Comm. Math. Phys.
, vol.150
, pp. 433-463
-
-
Delshams, A.1
Seara, T.M.2
-
8
-
-
0041485922
-
Splitting of separatrices in Hamiltonian systems with one and a half degrees of freedom
-
A. Delshams T.M. Seara Splitting of separatrices in Hamiltonian systems with one and a half degrees of freedom Math. Phys. Electron. J. 3 1997 4-40
-
(1997)
Math. Phys. Electron. J.
, vol.3
, pp. 4-40
-
-
Delshams, A.1
Seara, T.M.2
-
9
-
-
0002352398
-
Computing the dependence on a parameter of a family of unstable manifolds: Generalized Melnikov formulas
-
R.W. Easton Computing the dependence on a parameter of a family of unstable manifolds: Generalized Melnikov formulas Nonlinear Anal. 8 1984 1-4
-
(1984)
Nonlinear Anal.
, vol.8
, pp. 1-4
-
-
Easton, R.W.1
-
10
-
-
0029691221
-
Discretization of homoclinic orbits, rapid forcing and "homoclinic" chaos
-
B. Fiedler J. Scheurle Discretization of homoclinic orbits, rapid forcing and "homoclinic" chaos Mem. Amer. Math. Soc. 119 570 1996 viii+79
-
(1996)
Mem. Amer. Math. Soc.
, vol.119
, Issue.570
-
-
Fiedler, B.1
Scheurle, J.2
-
11
-
-
0000862628
-
Exponentially small upper bounds for the splitting of separatrices for high frequency periodic perturbations
-
E. Fontich Exponentially small upper bounds for the splitting of separatrices for high frequency periodic perturbations Nonlinear Anal. 20 1993 733-744
-
(1993)
Nonlinear Anal.
, vol.20
, pp. 733-744
-
-
Fontich, E.1
-
12
-
-
0000996835
-
Rapidly forced planar vector fields and splitting of separatrices
-
E. Fontich Rapidly forced planar vector fields and splitting of separatrices J. Differential Equations 119 1995 310-335
-
(1995)
J. Differential Equations
, vol.119
, pp. 310-335
-
-
Fontich, E.1
-
13
-
-
84971996008
-
The splitting of separatrices for analytic diffeomorphisms
-
E. Fontich C. Simó The splitting of separatrices for analytic diffeomorphisms Ergodic Theory Dynamical Systems 10 1990 295-318
-
(1990)
Ergodic Theory Dynamical Systems
, vol.10
, pp. 295-318
-
-
Fontich, E.1
Simó, C.2
-
14
-
-
0039859649
-
Separatrices splitting for the rapidly forced pendulum, Seminar on Dynamical Systems (St. Petersburg)
-
Birkhäuser, Basel
-
V.G. Gelfreich, Separatrices splitting for the rapidly forced pendulum, Seminar on Dynamical Systems (St. Petersburg), Progress in Nonlinear Differential Equations and their Applications, vol. 12, Birkhäuser, Basel, 1991, pp. 47-67.
-
(1991)
Progress in Nonlinear Differential Equations and Their Applications
, vol.12
, pp. 47-67
-
-
Gelfreich, V.G.1
-
15
-
-
0000664107
-
Melnikov method and exponentially small splitting of separatrices
-
V.G. Gelfreich Melnikov method and exponentially small splitting of separatrices Physica D 101 1997 227-248
-
(1997)
Physica D
, vol.101
, pp. 227-248
-
-
Gelfreich, V.G.1
-
16
-
-
0033241455
-
A proof of the exponentially small transversality of the separatrices for the standard map
-
V.G. Gelfreich A proof of the exponentially small transversality of the separatrices for the standard map Comm. Math. Phys. 201 1999 155-216
-
(1999)
Comm. Math. Phys.
, vol.201
, pp. 155-216
-
-
Gelfreich, V.G.1
-
17
-
-
0035600465
-
Splitting of separatrices: Perturbation theory and exponential smallness
-
V.G. Gelfreich V.F. Lazutkin Splitting of separatrices: Perturbation theory and exponential smallness Russian Math. Surveys 56 2001 499-558
-
(2001)
Russian Math. Surveys
, vol.56
, pp. 499-558
-
-
Gelfreich, V.G.1
Lazutkin, V.F.2
-
18
-
-
0000255261
-
Exponentially small splitting of separatrices with applications to KAM theory and degenerate bifurcations
-
P. Holmes J. Marsden J. Scheurle Exponentially small splitting of separatrices with applications to KAM theory and degenerate bifurcations Contemp. Math. 81 1988 213-244
-
(1988)
Contemp. Math.
, vol.81
, pp. 213-244
-
-
Holmes, P.1
Marsden, J.2
Scheurle, J.3
-
19
-
-
0003670456
-
Splitting of separatrices for the Chirikov's standard map
-
(english version in Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 300 (2003), Teor. Predst. Din. Sist. Spets. Vyp. 8, 25-55, 285)
-
V.F. Lazutkin, Splitting of separatrices for the Chirikov's standard map, VINITI, vol. 6372(84) 1984 (english version in Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 300 (2003), Teor. Predst. Din. Sist. Spets. Vyp. 8, 25-55, 285).
-
(1984)
VINITI
, vol.6372
, Issue.84
-
-
Lazutkin, V.F.1
-
20
-
-
0001834849
-
On the stability of the center for time periodic perturbations
-
V.F. Melnikov On the stability of the center for time periodic perturbations Trans. Moscow Math. Soc. 12 1963 3-56
-
(1963)
Trans. Moscow Math. Soc.
, vol.12
, pp. 3-56
-
-
Melnikov, V.F.1
-
21
-
-
0021660205
-
The separation of motions in systems with rapidly rotating phase
-
A.I. Neishtadt The separation of motions in systems with rapidly rotating phase J. Appl. Math. Mech. 48 1984 133-139
-
(1984)
J. Appl. Math. Mech.
, vol.48
, pp. 133-139
-
-
Neishtadt, A.I.1
-
22
-
-
77951516344
-
Sur le problème des trois corps et les équations de la dynamique
-
H. Poincaré Sur le problème des trois corps et les équations de la dynamique Acta Math. 13 1890 1-271
-
(1890)
Acta Math.
, vol.13
, pp. 1-271
-
-
Poincaré, H.1
-
23
-
-
0000615478
-
Exponentially small estimates for separatrix splitting, Asymptotics Beyond all Orders
-
La Jolla, CA 1991 Plenum, New York
-
J. Scheurle, J. Marsden, P. Holmes, Exponentially small estimates for separatrix splitting, Asymptotics Beyond all Orders (La Jolla, CA, 1991), NATO Advanced Science Institutes Series B: Physics, vol. 284, Plenum, New York, 1991, pp. 187-195.
-
(1991)
NATO Advanced Science Institutes Series B: Physics
, vol.284
, pp. 187-195
-
-
Scheurle, J.1
Marsden, J.2
Holmes, P.3
-
24
-
-
0031312703
-
Separatrix splitting for a pendulum with rapidly oscillating suspension point
-
D.V. Treschev Separatrix splitting for a pendulum with rapidly oscillating suspension point Russian J. Math. Phys. 5 1997 63-98
-
(1997)
Russian J. Math. Phys.
, vol.5
, pp. 63-98
-
-
Treschev, D.V.1
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