-
1
-
-
45349111974
-
The Painlevé property and singularity analysis of integrable and non-integrable systems
-
A. Ramani, B. Grammaticos, and T. Bountis, "The Painlevé property and singularity analysis of integrable and non-integrable systems," Phys. Rep. 180, 159-245 (1989).
-
(1989)
Phys. Rep.
, vol.180
, pp. 159-245
-
-
Ramani, A.1
Grammaticos, B.2
Bountis, T.3
-
2
-
-
0000368599
-
An algorithm for determining polynomial first integrals of autonomous systems of ordinary differential equations
-
F. Schwarz, "An algorithm for determining polynomial first integrals of autonomous systems of ordinary differential equations," J. Symbol. Comput. 1, 229-233 (1985).
-
(1985)
J. Symbol. Comput.
, vol.1
, pp. 229-233
-
-
Schwarz, F.1
-
3
-
-
0347045184
-
Existence theorems for polynomial first integrals
-
Bonn, Germany, edited by S. M. Watt ACM, New York
-
F. Schwarz, "Existence theorems for polynomial first integrals," in Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation, Bonn, Germany, edited by S. M. Watt (ACM, New York, 1991).
-
(1991)
Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation
-
-
Schwarz, F.1
-
4
-
-
25744456231
-
Symmetries and first integrals for dissipative systems
-
F. Schwarz and W. H. Steeb, "Symmetries and first integrals for dissipative systems," J. Phys. A 17, L819-L823 (1984).
-
(1984)
J. Phys. A
, vol.17
-
-
Schwarz, F.1
Steeb, W.H.2
-
5
-
-
0001635186
-
Integrals of motion for three-dimensional non-Hamiltonian dynamical systems
-
H. J. Giacomini, C. E. Repetto, and O. P. Zandron, "Integrals of motion for three-dimensional non-Hamiltonian dynamical systems," J. Phys. A 24, 4567-4574 (1991).
-
(1991)
J. Phys. A
, vol.24
, pp. 4567-4574
-
-
Giacomini, H.J.1
Repetto, C.E.2
Zandron, O.P.3
-
6
-
-
51249194831
-
Applications de la théorie des équations intégrales linéaires aux systèmes d'équations différentielles nonlinéaires
-
T. Carleman, "Applications de la théorie des équations intégrales linéaires aux systèmes d'équations différentielles nonlinéaires," Arkiv. Math. 228, 63-87 (1931).
-
(1931)
Arkiv. Math.
, vol.228
, pp. 63-87
-
-
Carleman, T.1
-
7
-
-
0000372509
-
Integrals of motion for the Lorenz system
-
M. Kús, "Integrals of motion for the Lorenz system," J. Phys. A 16, L689-L691 (1983).
-
(1983)
J. Phys. A
, vol.16
-
-
Kús, M.1
-
8
-
-
38249004765
-
A note on Carleman linearization
-
W. H. Steeb, "A note on Carleman linearization," Phys. Lett. A 140, 336-338 (1989).
-
(1989)
Phys. Lett. A
, vol.140
, pp. 336-338
-
-
Steeb, W.H.1
-
11
-
-
0041020915
-
Branching of solutions and nonexistence of first integrals in Hamiltonian mechanics
-
S. L. Ziglin, "Branching of solutions and nonexistence of first integrals in Hamiltonian mechanics," Funct. Anal. Appl. 16, 181-189 (1983).
-
(1983)
Funct. Anal. Appl.
, vol.16
, pp. 181-189
-
-
Ziglin, S.L.1
-
12
-
-
14344258193
-
Branching of solutions and nonexistence of first integrals in Hamiltonian mechanics II
-
S. L. Ziglin, "Branching of solutions and nonexistence of first integrals in Hamiltonian mechanics II," Funct. Anal. Appl. 17, 6-17 (1983).
-
(1983)
Funct. Anal. Appl.
, vol.17
, pp. 6-17
-
-
Ziglin, S.L.1
-
13
-
-
0001875730
-
A criterion for the non-existence of an additional integral in Hamiltonian systems with homogeneous potential
-
H. Yoshida, "A criterion for the non-existence of an additional integral in Hamiltonian systems with homogeneous potential," Phys. D 29, 128-142 (1987).
-
(1987)
Phys. D
, vol.29
, pp. 128-142
-
-
Yoshida, H.1
-
15
-
-
0005557191
-
Painlevé resonances versus Kowalevski exponents: Some exact results on singularity structure and integrability of dynamical systems
-
H. Yoshida, B. Grammaticos, and A. Ramani, "Painlevé resonances versus Kowalevski exponents: Some exact results on singularity structure and integrability of dynamical systems," Acta Apl. Math. 8, 75-103 (1987).
-
(1987)
Acta Apl. Math.
, vol.8
, pp. 75-103
-
-
Yoshida, H.1
Grammaticos, B.2
Ramani, A.3
-
16
-
-
0000392795
-
Non-integrability of the truncated Toda lattice Hamiltonian at any order
-
H. Yoshida, "Non-integrability of the truncated Toda lattice Hamiltonian at any order," Commun. Math. Phys. 116, 529-538 (1988).
-
(1988)
Commun. Math. Phys.
, vol.116
, pp. 529-538
-
-
Yoshida, H.1
-
17
-
-
0039441281
-
Non-integrability of a class of perturbed Kepler problems in two dimensions
-
H. Yoshida, "Non-integrability of a class of perturbed Kepler problems in two dimensions," Phys. Lett. A 120, 388-390 (1987).
-
(1987)
Phys. Lett. A
, vol.120
, pp. 388-390
-
-
Yoshida, H.1
-
18
-
-
0000192657
-
Integrals of a Lotka-Volterra system of odd number of variables
-
Y. Itoh, "Integrals of a Lotka-Volterra system of odd number of variables," Prog. Theor. Phys. 78, 507-510 (1987).
-
(1987)
Prog. Theor. Phys.
, vol.78
, pp. 507-510
-
-
Itoh, Y.1
-
19
-
-
0008071951
-
On the nonintegrability of Yang-Mills potentials
-
S. Itchiaroglou, "On the nonintegrability of Yang-Mills potentials," J. Phys. A. 22, 3461-3465 (1989).
-
(1989)
J. Phys. A
, vol.22
, pp. 3461-3465
-
-
Itchiaroglou, S.1
-
23
-
-
84988600853
-
The Painlevé-Kowalesvski and poly-Painlevé test for integrability
-
M. Kruskal and P. A. Clarkson, "The Painlevé-Kowalesvski and poly-Painlevé test for integrability," Stud. Appl. Math. 86, 87-165 (1992).
-
(1992)
Stud. Appl. Math.
, vol.86
, pp. 87-165
-
-
Kruskal, M.1
Clarkson, P.A.2
-
24
-
-
0347674937
-
Algebraic completely integrable systems: A systematic approach
-
Université Catholique de Louvain
-
M. Adler and P. van Moerbeke, "Algebraic completely integrable systems: a systematic approach," Séminaire de Mathématique, Institut de Mathématique pure et appliquée, Université Catholique de Louvain 1, 165-309 (1987).
-
(1987)
Séminaire de Mathématique, Institut de Mathématique Pure et Appliquée
, vol.1
, pp. 165-309
-
-
Adler, M.1
Van Moerbeke, P.2
-
25
-
-
0041918637
-
Painlevé property and geometry
-
N. Ercolani and E. Siggia, "Painlevé property and geometry," Phys. D 34, 3303-3346 (1989).
-
(1989)
Phys. D
, vol.34
, pp. 3303-3346
-
-
Ercolani, N.1
Siggia, E.2
-
27
-
-
1542795332
-
Elementary first integrals of differential equations
-
M. J. Prelle and M. F. Singer, "Elementary first integrals of differential equations," Trans. Am. Math. Soc. 279, 215-229 (1983).
-
(1983)
Trans. Am. Math. Soc.
, vol.279
, pp. 215-229
-
-
Prelle, M.J.1
Singer, M.F.2
-
28
-
-
0003971628
-
-
Technical Report 88-09, Center For Mathematical Computation, University of Delaware
-
R. Shtokhamer, "Solving first order differential equations using the Prelle-Singer algorithm," Technical Report 88-09, Center For Mathematical Computation, University of Delaware, Vol. 9, pp. 1-18, 1988.
-
(1988)
Solving First Order Differential Equations Using the Prelle-Singer Algorithm
, vol.9
, pp. 1-18
-
-
Shtokhamer, R.1
-
29
-
-
0347045178
-
Computing elementary first integrals of differential equations
-
Stanford
-
R. Shtokhamer, N. Glinos, and B. F. Caviness, "Computing elementary first integrals of differential equations," Comput. Math. Conf. (Stanford) 1, 1-9 (1986).
-
(1986)
Comput. Math. Conf.
, vol.1
, pp. 1-9
-
-
Shtokhamer, R.1
Glinos, N.2
Caviness, B.F.3
-
30
-
-
0345783869
-
Many-valuedness of first integrals, their domains and many valued solutions
-
M. Ishii, "Many-valuedness of first integrals, their domains and many valued solutions," Progr. Theor. Phys. 87, 93-101 (1992).
-
(1992)
Progr. Theor. Phys.
, vol.87
, pp. 93-101
-
-
Ishii, M.1
-
31
-
-
34250146236
-
Necessary conditions for the existence of algebraic first integrals I
-
H. Yoshida, "Necessary conditions for the existence of algebraic first integrals I," Celest. Mech. 31, 363-379 (1983).
-
(1983)
Celest. Mech.
, vol.31
, pp. 363-379
-
-
Yoshida, H.1
-
32
-
-
33745022934
-
Necessary conditions for the existence of algebraic first integrals II
-
H. Yoshida, "Necessary conditions for the existence of algebraic first integrals II," Celest. Mech. 31, 381-399 (1983).
-
(1983)
Celest. Mech.
, vol.31
, pp. 381-399
-
-
Yoshida, H.1
-
33
-
-
34250579023
-
Sur le problème de la rotation d'un corps solide autour d'un point fixe
-
S. Kowalevski, "Sur le problème de la rotation d'un corps solide autour d'un point fixe," Acta Math. 12, 177-232 (1889).
-
(1889)
Acta Math.
, vol.12
, pp. 177-232
-
-
Kowalevski, S.1
-
34
-
-
0040215985
-
Direct methods for the search of the second invariant
-
J. Hietarinta, "Direct methods for the search of the second invariant," Phys. Rep. 147, 87-154 (1987).
-
(1987)
Phys. Rep.
, vol.147
, pp. 87-154
-
-
Hietarinta, J.1
-
35
-
-
0013381378
-
Pairing of the Kowaleska exponents in Hamiltonian systems
-
P. Lochak, "Pairing of the Kowaleska exponents in Hamiltonian systems," Phys. Lett. A 108, 188-190 (1985).
-
(1985)
Phys. Lett. A
, vol.108
, pp. 188-190
-
-
Lochak, P.1
-
36
-
-
0347045180
-
On Kowaleskaya exponents
-
edited by J. Ellison and H. Uberall Gordon and Breach, New York
-
M. Kummer, R. C. Churchill, and D. L. Rod, "On Kowaleskaya exponents," in Essays on Classical and Quantum Mechanics, edited by J. Ellison and H. Uberall (Gordon and Breach, New York, 1991).
-
(1991)
Essays on Classical and Quantum Mechanics
-
-
Kummer, M.1
Churchill, R.C.2
Rod, D.L.3
-
37
-
-
0347045181
-
Painlevé property and algebraic integrability of single variable ordinary differential equations with dominants
-
M. Ishii, "Painlevé property and algebraic integrability of single variable ordinary differential equations with dominants," Prog. Theor. Phys. 84, 386-391 (1990).
-
(1990)
Prog. Theor. Phys.
, vol.84
, pp. 386-391
-
-
Ishii, M.1
-
38
-
-
0000241853
-
Deterministic nonperiodic flow
-
E. N. Lorenz, "Deterministic nonperiodic flow," J. Atmospher. Sci. 20, 130-141 (1963).
-
(1963)
J. Atmospher. Sci.
, vol.20
, pp. 130-141
-
-
Lorenz, E.N.1
-
40
-
-
0005149446
-
Continuous symmetries of the Lorenz model and the Rikitake two-disc dynamo system
-
W. H. Steeb, "Continuous symmetries of the Lorenz model and the Rikitake two-disc dynamo system," J. Phys. A 15, L389-L390 (1982).
-
(1982)
J. Phys. A
, vol.15
-
-
Steeb, W.H.1
-
41
-
-
0000983537
-
A method of finding integrals for three-dimensional dynamical systems
-
J. M. Strelcyn and S. Wojciechowski, "A method of finding integrals for three-dimensional dynamical systems," Phys. Lett. A 133, 207-212 (1988).
-
(1988)
Phys. Lett. A
, vol.133
, pp. 207-212
-
-
Strelcyn, J.M.1
Wojciechowski, S.2
-
42
-
-
0002495622
-
Soliton and the inverse scattering transform
-
edited by A. R. Osborne and P. Malanotte Rizzoli North-Holland, Amsterdam
-
H. Segur, "Soliton and the inverse scattering transform," in Topics in Ocean Physics, edited by A. R. Osborne and P. Malanotte Rizzoli (North-Holland, Amsterdam, 1982), pp. 235-277.
-
(1982)
Topics in Ocean Physics
, pp. 235-277
-
-
Segur, H.1
-
43
-
-
45449123299
-
Integrating the nonintegrable: Analytic structure of the Lorenz system revisited
-
G. Levine and M. Tabor, "Integrating the nonintegrable: Analytic structure of the Lorenz system revisited," Phys. D 33, 189-210 (1988).
-
(1988)
Phys. D
, vol.33
, pp. 189-210
-
-
Levine, G.1
Tabor, M.2
-
44
-
-
0002578959
-
The singularity analysis for nearly integrable systems: Homoclinic intersections and local multivaluedness
-
A. Goriely and M. Tabor, "The singularity analysis for nearly integrable systems: homoclinic intersections and local multivaluedness," Phys. D 85, 93-125 (1995).
-
(1995)
Phys. D
, vol.85
, pp. 93-125
-
-
Goriely, A.1
Tabor, M.2
|