-
3
-
-
84968514104
-
Differentiable dynamical systems
-
S. Smale. Differentiable dynamical systems. Bull. A.M.S. 1967. 73. P. 747-817.
-
(1967)
Bull. A.M.S.
, vol.73
, pp. 747-817
-
-
Smale, S.1
-
4
-
-
0001834849
-
On the stability of the center for time-periodic perturbations
-
V. K. Melnikov. On the stability of the center for time-periodic perturbations. Tr. Mosc. Math. Soc. 1963. 12. P. 3-52.
-
(1963)
Tr. Mosc. Math. Soc.
, vol.12
, pp. 3-52
-
-
Melnikov, V.K.1
-
10
-
-
0030594797
-
Non-integrability criteria for hamiltonians in the case of Lamé normal variational equations
-
J. J. Morales-Ruiz, C. Simo. Non-integrability criteria for hamiltonians in the case of Lamé normal variational equations. J. Differential Equations. 1996. 129. P. 111-135.
-
(1996)
J. Differential Equations
, vol.129
, pp. 111-135
-
-
Morales-Ruiz, J.J.1
Simo, C.2
-
11
-
-
0002578959
-
The singularity analysis for nearly integrable Systems: Homochnic intersections and local multivaluedness
-
A. Goriely, M. Tabor. The singularity analysis for nearly integrable Systems: homochnic intersections and local multivaluedness. Physica D. 1995. 85. P. 93-125.
-
(1995)
Physica D
, vol.85
, pp. 93-125
-
-
Goriely, A.1
Tabor, M.2
-
12
-
-
0001597679
-
Melnikov's method and averaging
-
J. A. Sanders. Melnikov's method and averaging. Cel. Mech. 1982. 28. P. 171-181.
-
(1982)
Cel. Mech.
, vol.28
, pp. 171-181
-
-
Sanders, J.A.1
-
13
-
-
0029691221
-
Discretization of homoclinic orbits, rapid forcing and "invisible" chaos
-
B. Fiedler, J. Scheurle. Discretization of homoclinic orbits, rapid forcing and "invisible" chaos. Mem. Amer. Math. Soc. 1996. 119. P. 1-79.
-
(1996)
Mem. Amer. Math. Soc.
, vol.119
, pp. 1-79
-
-
Fiedler, B.1
Scheurle, J.2
-
14
-
-
0002682326
-
Existence of exponentially small separatrix splittings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable hamiltonian systems
-
M. Rudnev, S. Wiggins. Existence of exponentially small separatrix splittings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable hamiltonian systems. Physica D. 1998. 114. P. 3-80.
-
(1998)
Physica D
, vol.114
, pp. 3-80
-
-
Rudnev, M.1
Wiggins, S.2
-
15
-
-
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. 1992. 150. P. 433-463.
-
(1992)
Comm. Math. Phys.
, vol.150
, pp. 433-463
-
-
Delshams, A.1
Seara, T.M.2
-
18
-
-
0030558948
-
Integrability, partial integrability and nonintegrability for systems of ordinary differential equations
-
A. Goriely Integrability, partial integrability and nonintegrability for systems of ordinary differential equations J. Math. Phys. 1996. 37. P. 1871-1893.
-
(1996)
J. Math. Phys.
, vol.37
, pp. 1871-1893
-
-
Goriely, A.1
-
19
-
-
0013290492
-
Splitting of separatrices, branching of solutions and nonexistence of an integral in the dynamics of a solid body
-
S. L. Ziglin. Splitting of separatrices, branching of solutions and nonexistence of an integral in the dynamics of a solid body. Trans. Moscow Math. Soc. 1982. 1. P. 283-298.
-
(1982)
Trans. Moscow Math. Soc.
, vol.1
, pp. 283-298
-
-
Ziglin, S.L.1
-
20
-
-
0002799998
-
Singularity clustering in the Duffing oscillator
-
J. D. Fournier, G. Levine, M. Tabor. Singularity clustering in the Duffing oscillator. J. Phys. A. 1988. 21. P. 33-54.
-
(1988)
J. Phys. A
, vol.21
, pp. 33-54
-
-
Fournier, J.D.1
Levine, G.2
Tabor, M.3
-
22
-
-
0000255261
-
Exponentially small splittings of separatrices with applications to kam theory and degenerate bifurcations
-
J. Scheurle, J. Marsden, P. Holmes. Exponentially small splittings of separatrices with applications to kam theory and degenerate bifurcations. Contemp. Math. 1988. 81. P. 213-244.
-
(1988)
Contemp. Math.
, vol.81
, pp. 213-244
-
-
Scheurle, J.1
Marsden, J.2
Holmes, P.3
-
25
-
-
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. Electrn. J. 1997. 3. P. 1-40.
-
(1997)
Math. Phys. Electrn. J.
, vol.3
, pp. 1-40
-
-
Delshams, A.1
Seara, T.M.2
-
26
-
-
0022737240
-
Chaotic streamlines in the abc flows
-
T. Dombre, U. Frisch, J. M. Greene, M. Henon, A. Mehr, A. M. Soward. Chaotic streamlines in the abc flows. J. Fluid Mech. 1986. 167. P. 656-691.
-
(1986)
J. Fluid Mech.
, vol.167
, pp. 656-691
-
-
Dombre, T.1
Frisch, U.2
Greene, J.M.3
Henon, M.4
Mehr, A.5
Soward, A.M.6
-
28
-
-
34250146236
-
Necessary conditions for the existence of algebraic first integrals I. and II
-
H. Yoshida. Necessary conditions for the existence of algebraic first integrals I. and II. Celest. Mech. 1983. 31. P. 363-379, P. 381-399.
-
(1983)
Celest. Mech.
, vol.31
, pp. 363-379
-
-
Yoshida, H.1
-
29
-
-
0013381378
-
Pairing of the Kowaleska exponents in Hamiltonian systems
-
P. Lochak. Pairing of the Kowaleska exponents in Hamiltonian systems. Phys. Lett. A. 1985. 108. P. 188-190.
-
(1985)
Phys. Lett. A
, vol.108
, pp. 188-190
-
-
Lochak, P.1
|