-
2
-
-
0032486021
-
Research of periodic solutions of the nonintegrable Hénon-Heiles system by the Lindstedt-Poincaré method
-
S. Benbachir, Research of periodic solutions of the nonintegrable Hénon-Heiles system by the Lindstedt-Poincaré method, J. Phys. A 31 (1998) 5083-5103.
-
(1998)
J. Phys. A
, vol.31
, pp. 5083-5103
-
-
Benbachir, S.1
-
3
-
-
0042675835
-
-
Colloq. Publ. 9 Amer. Math. Soc., Providence, RI
-
G.D. Birkhoff, Dynamical Systems, 2nd ed., Colloq. Publ. 9 (Amer. Math. Soc., Providence, RI, 1927) 54.
-
(1927)
Dynamical Systems, 2nd Ed.
, pp. 54
-
-
Birkhoff, G.D.1
-
4
-
-
0001055171
-
Analytical form of differential equations II
-
A.D. Bruno (Brjuno), Analytical form of differential equations II, Trans. Moscow Math. Soc. 26 (1972) 199-239.
-
(1972)
Trans. Moscow Math. Soc.
, vol.26
, pp. 199-239
-
-
Bruno, A.D.1
-
7
-
-
0000210320
-
Symmetries and convergence of normalizing transformations
-
A.D. Bruno and S. Walcher, Symmetries and convergence of normalizing transformations, J. Math. Anal. Appl. 183 (1994) 571-576.
-
(1994)
J. Math. Anal. Appl.
, vol.183
, pp. 571-576
-
-
Bruno, A.D.1
Walcher, S.2
-
8
-
-
34249917727
-
On the stability of the Lagrangian points in the spacial restricted three body problem
-
A. Celletti and A. Giorgilli, On the stability of the Lagrangian points in the spacial restricted three body problem, Celest. Mech. 50 (1991) 31-58.
-
(1991)
Celest. Mech.
, vol.50
, pp. 31-58
-
-
Celletti, A.1
Giorgilli, A.2
-
10
-
-
85054658784
-
Nilpotent normal forms via Carleman linearization for ODE
-
ed. M. Bronstein ACM, New York
-
G. Chen, J. Della Dora and L. Stolovitch, Nilpotent normal forms via Carleman linearization for ODE, in: Proc. of the 1991 Internat. Symp. on Symbolic and Algebraic Computation, ed. M. Bronstein (ACM, New York, 1991) pp. 281-288.
-
(1991)
Proc. of the 1991 Internat. Symp. on Symbolic and Algebraic Computation
, pp. 281-288
-
-
Chen, G.1
Della Dora, J.2
Stolovitch, L.3
-
12
-
-
0030122291
-
On the convergence of normalizing transformations in the presence of symmetries
-
G. Cicogna, On the convergence of normalizing transformations in the presence of symmetries, J. Math. Anal. Appl. 199 (1996) 243.
-
(1996)
J. Math. Anal. Appl.
, vol.199
, pp. 243
-
-
Cicogna, G.1
-
13
-
-
21344484282
-
Poincaré normal forms and Lie point symmetries
-
G. Cicogna and G. Gaeta, Poincaré normal forms and Lie point symmetries, J. Phys. A 27 (1994) 461-476.
-
(1994)
J. Phys. A
, vol.27
, pp. 461-476
-
-
Cicogna, G.1
Gaeta, G.2
-
14
-
-
21844526765
-
Normal forms and nonlinear symmetries
-
G. Cicogna and G. Gaeta, Normal forms and nonlinear symmetries, J. Phys. A 27 (1994) 7115-7124.
-
(1994)
J. Phys. A
, vol.27
, pp. 7115-7124
-
-
Cicogna, G.1
Gaeta, G.2
-
16
-
-
0043176892
-
Normal form method for symbolic creation of approximate solutions of nonlinear mechanical systems
-
Marseille May 3-7
-
J. Della Dora, J. Mikram and F. Zinoun, Normal form method for symbolic creation of approximate solutions of nonlinear mechanical systems, CATHODE 2, CIRM Luminy, Marseille (May 3-7, 1999) (http://www-lmc.imag.fr/CATHODE2/Cirm/abstract/).
-
(1999)
CATHODE 2, CIRM Luminy
-
-
Della Dora, J.1
Mikram, J.2
Zinoun, F.3
-
18
-
-
0000717287
-
Canonical transformation depending on a small parameter
-
A. Deprit, Canonical transformation depending on a small parameter, Celest. Mech. 1 (1969) 12-30.
-
(1969)
Celest. Mech.
, vol.1
, pp. 12-30
-
-
Deprit, A.1
-
19
-
-
0032028740
-
A symbolic approximation of periodic solutions of the Hénon-Heiles system by the normal form method
-
V.F. Edneral, A symbolic approximation of periodic solutions of the Hénon-Heiles system by the normal form method, Math. Comput. Simulation 45 (1998) 445-463.
-
(1998)
Math. Comput. Simulation
, vol.45
, pp. 445-463
-
-
Edneral, V.F.1
-
20
-
-
0001963733
-
Monodromy and the Kowalevskaya top
-
J.-P. Françoise, Monodromy and the Kowalevskaya top, Astérisque 150/151 (1987) 87-108.
-
(1987)
Astérisque
, vol.150-151
, pp. 87-108
-
-
Françoise, J.-P.1
-
21
-
-
0000980927
-
Bifurcations of invariant manifolds in the generalized Hénon-Heiles system
-
L. Gavrilov, Bifurcations of invariant manifolds in the generalized Hénon-Heiles system, Phys. D 34 (1989) 223-239.
-
(1989)
Phys. D
, vol.34
, pp. 223-239
-
-
Gavrilov, L.1
-
23
-
-
0018446732
-
A computer program for integrals of motion
-
A. Giorgilly, A computer program for integrals of motion, Comput. Phys. Commun. 16 (1979) 331-343.
-
(1979)
Comput. Phys. Commun.
, vol.16
, pp. 331-343
-
-
Giorgilly, A.1
-
24
-
-
0000330285
-
Formal integrals for an autonomous Hamiltonian system near an equilibrium point
-
A. Giorgilli and L. Galgani, Formal integrals for an autonomous Hamiltonian system near an equilibrium point, Celest. Mech. 17 (1978) 267-280.
-
(1978)
Celest. Mech.
, vol.17
, pp. 267-280
-
-
Giorgilli, A.1
Galgani, L.2
-
26
-
-
0002519122
-
The applicability of the third integral of motion: Some numerical experiments
-
M. Hénon and C. Heiles, The applicability of the third integral of motion: Some numerical experiments, Astronom. J. 69 (1964) 73-79.
-
(1964)
Astronom. J.
, vol.69
, pp. 73-79
-
-
Hénon, M.1
Heiles, C.2
-
27
-
-
0000628533
-
Theory of general perturbations with unspecified canonical variables
-
G.I. Hori, Theory of general perturbations with unspecified canonical variables, J. Japan Astron. Soc. 18 (1966) 287-296.
-
(1966)
J. Japan Astron. Soc.
, vol.18
, pp. 287-296
-
-
Hori, G.I.1
-
28
-
-
51249174723
-
Convergence of Birkhoff normal forms for integrable systems
-
H. Ito, Convergence of Birkhoff normal forms for integrable systems, Comment. Math. Helv. 64 (1989) 412-461.
-
(1989)
Comment. Math. Helv.
, vol.64
, pp. 412-461
-
-
Ito, H.1
-
29
-
-
0004278751
-
Some aspects of integrability and action-angle variables
-
H. Ito, Some aspects of integrability and action-angle variables, Sugaku Expositions 3(2) (1990) 213-232.
-
(1990)
Sugaku Expositions
, vol.3
, Issue.2
, pp. 213-232
-
-
Ito, H.1
-
30
-
-
0001110443
-
Integrability of Hamiltonian systems and Birkhoff normal forms in the simple resonance case
-
H. Ito, Integrability of Hamiltonian systems and Birkhoff normal forms in the simple resonance case, Math. Ann. 292 (1992) 411-444.
-
(1992)
Math. Ann.
, vol.292
, pp. 411-444
-
-
Ito, H.1
-
32
-
-
0000970971
-
Note sur l'intégration des équations différentielles de la dynamique
-
J. Liouville, Note sur l'intégration des équations différentielles de la dynamique, J. Math. Pures Appl. 20 (1855) 137-138.
-
(1855)
J. Math. Pures Appl.
, vol.20
, pp. 137-138
-
-
Liouville, J.1
-
33
-
-
0003083471
-
A new algorithm for Lie transformation
-
W.A. Mersman, A new algorithm for Lie transformation, Celest. Mech. 3 (1970) 81-89.
-
(1970)
Celest. Mech.
, vol.3
, pp. 81-89
-
-
Mersman, W.A.1
-
34
-
-
0042675833
-
On structure preserving normal forms of Hamiltonian dynamical systems
-
Prague August 9-11
-
J. Mikram and F. Zinoun, On structure preserving normal forms of Hamiltonian dynamical systems, in: 4th Internat. Conf. on Application of Computer Algebra, IMACS-ACA, Prague (August 9-11, 1998) (http://math.unm.edu/ACA/1998/sessions/dynamical/).
-
(1998)
4th Internat. Conf. on Application of Computer Algebra, IMACS-ACA
-
-
Mikram, J.1
Zinoun, F.2
-
37
-
-
0010338472
-
Normal forms and center manifold calculation on MACSYMA
-
ed. R. Pavelle
-
R.H. Rand and W.L. Keith, Normal forms and center manifold calculation on MACSYMA, in: Applications of Computer Algebra, ed. R. Pavelle (1987).
-
(1987)
Applications of Computer Algebra
-
-
Rand, R.H.1
Keith, W.L.2
-
38
-
-
0006998795
-
On the existence of normal modes vibrations of nonlinear systems with two degrees of freedom
-
R.M. Rosenberg, On the existence of normal modes vibrations of nonlinear systems with two degrees of freedom, Quart. Appl. Math. 22 (1964) 217-234.
-
(1964)
Quart. Appl. Math.
, vol.22
, pp. 217-234
-
-
Rosenberg, R.M.1
-
39
-
-
0000757375
-
Über das Verhalten analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung
-
H. Rüssmann, Über das Verhalten analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung, Math. Ann. 154 (1964) 285-300.
-
(1964)
Math. Ann.
, vol.154
, pp. 285-300
-
-
Rüssmann, H.1
-
40
-
-
84874778356
-
An algorithm for the computation of normal forms and invariant manifolds
-
ed. M. Bronstein, Kiev, Ukraine (July 1993) ACM, New York
-
L. Vallier, An algorithm for the computation of normal forms and invariant manifolds, in: Proc. of the 1993 Internat. Symp. on Symbolic and Algebraic Computation, ed. M. Bronstein, Kiev, Ukraine (July 1993) (ACM, New York, 1993) pp. 225-234.
-
(1993)
Proc. of the 1993 Internat. Symp. on Symbolic and Algebraic Computation
, pp. 225-234
-
-
Vallier, L.1
-
41
-
-
0000132941
-
Sur certains systèmes dynamiques séparables
-
J. Vey, Sur certains systèmes dynamiques séparables, Amer. J. Math. 100 (1978) 591-614.
-
(1978)
Amer. J. Math.
, vol.100
, pp. 591-614
-
-
Vey, J.1
|