-
2
-
-
21144469858
-
Comments on 'integrals of motion for the Lorenz system
-
Cairó, L. and Hua, D., "Comments on 'integrals of motion for the Lorenz system,'" J. Math. Phys. 34, 4370-4371 (1993).
-
(1993)
J. Math. Phys.
, vol.34
, pp. 4370-4371
-
-
Cairó, L.1
Hua, D.2
-
3
-
-
0002792963
-
Algebraic aspects of integrability for polynomial systems
-
Christopher, C. and Llibre, J., "Algebraic aspects of integrability for polynomial systems," Qual. Theory Dyn. Syst. 1, 71-95 (1999).
-
(1999)
Qual. Theory Dyn. Syst.
, vol.1
, pp. 71-95
-
-
Christopher, C.1
Llibre, J.2
-
4
-
-
0001870683
-
Integrability via invariant algebraic curves for planar polynomial differential systems
-
Christopher, C. and Llibre, J., "Integrability via invariant algebraic curves for planar polynomial differential systems," Ann. Differential Eq. 14, 5-19 (2000).
-
(2000)
Ann. Differential Eq.
, vol.14
, pp. 5-19
-
-
Christopher, C.1
Llibre, J.2
-
5
-
-
0003136372
-
Mémoire sur les équations différentielles algébriques du premier ordre et du premier degré (Mélanges)
-
Darboux, G., "Mémoire sur les équations différentielles algébriques du premier ordre et du premier degré (Mélanges)," Bull. Sci. Math. 2ème série 2, 60-96, 2, 123-144, 2, 151-200 (1878).
-
(1878)
Bull. Sci. Math. 2ème série
, vol.2
, pp. 60-96
-
-
Darboux, G.1
-
7
-
-
0042941238
-
Integrals of motion and the shape of the attractor for the Lorenz model
-
Giacomini, H.J. and Neukirch, S., "Integrals of motion and the shape of the attractor for the Lorenz model," Phys. Lett. A 227, 309-318 (1997).
-
(1997)
Phys. Lett. A
, vol.227
, pp. 309-318
-
-
Giacomini, H.J.1
Neukirch, S.2
-
8
-
-
0001635186
-
Integrals of motion for three-dimensional non-Hamiltonian dynamical systems
-
Giacomini, H.J., Repetto, C.E., and Zandron, O.P., "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
-
9
-
-
0030558948
-
Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations
-
Goriely, A., "Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations," J. Math. Phys. 37, 1871-1893 (1996).
-
(1996)
J. Math. Phys.
, vol.37
, pp. 1871-1893
-
-
Goriely, A.1
-
10
-
-
0003498504
-
-
Academic, New York
-
Gradshteyn, I.S. and Ryzhik, I.M., Table of Integrals, Series, and Products (Academic, New York, 1980).
-
(1980)
Table of Integrals, Series, and Products
-
-
Gradshteyn, I.S.1
Ryzhik, I.M.2
-
11
-
-
21144460104
-
Integrals of motion for the Lorenz system
-
Gupta, N., "Integrals of motion for the Lorenz system," J. Math. Phys. 34, 801-804 (1993).
-
(1993)
J. Math. Phys.
, vol.34
, pp. 801-804
-
-
Gupta, N.1
-
12
-
-
0003269768
-
Equations de pfaff algébriques
-
Springer-Verlag, New York
-
Jouanolou, J.P., "Equations de Pfaff algébriques," in Lectures Notes in Mathematics, Vol. 708 (Springer-Verlag, New York, 1979).
-
(1979)
Lectures Notes in Mathematics
, vol.708
-
-
Jouanolou, J.P.1
-
13
-
-
0000372509
-
Integrals of motion for the Lorenz system
-
Kús, M., "Integrals of motion for the Lorenz system," J. Phys. A 16, L689-L691 (1983).
-
(1983)
J. Phys. A
, vol.16
-
-
Kús, M.1
-
14
-
-
0030487558
-
On the polynomial first integrals of the (a,b,c) Lotka-Volterra system
-
Labrunie, S., "On the polynomial first integrals of the (a,b,c) Lotka-Volterra system," J. Math. Phys. 37, 5539-5550 (1996).
-
(1996)
J. Math. Phys.
, vol.37
, pp. 5539-5550
-
-
Labrunie, S.1
-
15
-
-
0034721624
-
Invariant algebraic surfaces of the Rikitake system
-
Llibre, J. and Zhang, X., "Invariant algebraic surfaces of the Rikitake system," J. Phys. A 33, 7613-7635 (2000).
-
(2000)
J. Phys. A
, vol.33
, pp. 7613-7635
-
-
Llibre, J.1
Zhang, X.2
-
16
-
-
0000241853
-
Deterministic nonperiodic flow
-
Lorenz, E.N., "Deterministic nonperiodic flow," J. Atmos. Sci. 20, 130-141 (1963).
-
(1963)
J. Atmos. Sci.
, vol.20
, pp. 130-141
-
-
Lorenz, E.N.1
-
17
-
-
0001693497
-
Polynomial first integrals of the Lotka-Volterra system
-
Moulin Ollagnier, J., "Polynomial first integrals of the Lotka-Volterra system," Bull. Sci. Math. 121, 463-476 (1997).
-
(1997)
Bull. Sci. Math.
, vol.121
, pp. 463-476
-
-
Moulin Ollagnier, J.1
-
18
-
-
0033209543
-
Rational integration of the Lotka-Volterra system
-
Moulin Ollagnier, J., "Rational integration of the Lotka-Volterra system," Bull. Sci. Math. 123, 437-466 (1999).
-
(1999)
Bull. Sci. Math.
, vol.123
, pp. 437-466
-
-
Moulin Ollagnier, J.1
-
19
-
-
65749318814
-
Sur I'intégration algébrique des équations différentielles du premier ordre et du premier degré I
-
Poincaré, H., "Sur I'intégration algébrique des équations différentielles du premier ordre et du premier degré I," Rendiconti del Circolo Matematico di Palermo 5, 161-191 (1981).
-
(1981)
Rendiconti del Circolo Matematico di Palermo
, vol.5
, pp. 161-191
-
-
Poincaré, H.1
-
20
-
-
0007074404
-
Sur I'intégration algébrique des équations différentielles du premier ordre et du premier degré II
-
Poincaré, H., "Sur I'intégration algébrique des équations différentielles du premier ordre et du premier degré II," Rendiconti del Circolo Matematico di Palermo 11, 193-239 (1987).
-
(1987)
Rendiconti del Circolo Matematico di Palermo
, vol.11
, pp. 193-239
-
-
Poincaré, H.1
-
21
-
-
0018480597
-
Periodic solutions and bifurcation structure at high R in the Lorenz model
-
Robbins, K.A., "Periodic solutions and bifurcation structure at high R in the Lorenz model," SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 36, 457-472 (1979).
-
(1979)
SIAM (Soc. Ind. Appl. Math.) J. Appl. Math.
, vol.36
, pp. 457-472
-
-
Robbins, K.A.1
-
22
-
-
0000368599
-
An algorithm for determining polynomial first integrals of autonomous systems of ordinary differential equations
-
Schwarz, F., "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
-
23
-
-
0002495622
-
Soliton and the inverse scattering transform
-
edited by A.R. Osborne and P. Malanotte Rizzoli (North-Holland, Amsterdam)
-
Segur, H., "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
-
25
-
-
0005149446
-
Continuous symmetries of the Lorenz model and the Rikitake two-disc dynamo system
-
Steeb, W.H., "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
-
26
-
-
0000983537
-
A method of finding integrals for three-dimensional systems
-
Strelcyn, J.M. and Wojciechowski, S., "A method of finding integrals for three-dimensional systems," Phys. Lett. A 133, 207-212 (1988).
-
(1988)
Phys. Lett. A
, vol.133
, pp. 207-212
-
-
Strelcyn, J.M.1
Wojciechowski, S.2
-
27
-
-
0000894545
-
Analytic structure of the Lorenz system
-
Tabor, M. and Weiss, J., "Analytic structure of the Lorenz system," Phys. Rev. A 24, 2157-2167 (1981).
-
(1981)
Phys. Rev. A
, vol.24
, pp. 2157-2167
-
-
Tabor, M.1
Weiss, J.2
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