-
1
-
-
51249180884
-
Nonlinear evolutions equations and ordinary differential equations of Painlevé type
-
M. J. Ablowitz, A. Ramani, and H. Segur, "Nonlinear evolutions equations and ordinary differential equations of Painlevé type," Lett. Nuovo Cimento 23, 333-338 (1978).
-
(1978)
Lett. Nuovo Cimento
, vol.23
, pp. 333-338
-
-
Ablowitz, M.J.1
Ramani, A.2
Segur, H.3
-
2
-
-
36749106124
-
A connexion between nonlinear evolution equations and ordinary differential equations of P-type I
-
M. J. Ablowitz, A. Ramani, and H. Segur, "A connexion between nonlinear evolution equations and ordinary differential equations of P-type I," J. Math. Phys. 21, 715-721 (1930).
-
(1930)
J. Math. Phys.
, vol.21
, pp. 715-721
-
-
Ablowitz, M.J.1
Ramani, A.2
Segur, H.3
-
3
-
-
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 (1990).
-
(1990)
Phys. Rep.
, vol.180
, pp. 159-245
-
-
Ramani, A.1
Grammaticos, B.2
Bountis, T.3
-
4
-
-
48549109270
-
On the complete and partial integrability of non-Hamiltonian systems
-
T. Bountis, A. Ramani, B. Grammaticos, and B. Dorizzi, "On the complete and partial integrability of non-Hamiltonian systems," Physica A 128, 268-288 (1984).
-
(1984)
Physica A
, vol.128
, pp. 268-288
-
-
Bountis, T.1
Ramani, A.2
Grammaticos, B.3
Dorizzi, B.4
-
5
-
-
0003842982
-
-
unter Milwirkung von F. Engel Teubner, Leipzig
-
S. Lie, "Theorie der Transformationgruppen," unter Milwirkung von F. Engel (Teubner, Leipzig, 1893), Vols. 1-3.
-
(1893)
Theorie der Transformationgruppen
, vol.1-3
-
-
Lie, S.1
-
6
-
-
0002063211
-
Differential equations form the group standpoints
-
L. E. Dixon, "Differential equations form the group standpoints," Ann. Math. 25(1), 287-378 (1924).
-
(1924)
Ann. Math.
, vol.25
, Issue.1
, pp. 287-378
-
-
Dixon, L.E.1
-
7
-
-
0003345224
-
Applications of Lie groups to differential equations
-
Springer Verlag, New York
-
P. J. Olver, Applications of Lie groups to differential equations, Graduate Text in Mathematics 107 (Springer Verlag, New York, 1986).
-
(1986)
Graduate Text in Mathematics
, vol.107
-
-
Olver, P.J.1
-
8
-
-
0024070164
-
Simmetries of differential equations: From Sophus Lie to computer algebra
-
F. Schwartz, "Simmetries of differential equations: from Sophus Lie to computer algebra," SIAM (Soc. Ind. Appl. Math.) Rev. 30, 450-481 (1988).
-
(1988)
SIAM (Soc. Ind. Appl. Math.) Rev.
, vol.30
, pp. 450-481
-
-
Schwartz, F.1
-
9
-
-
0000983537
-
A method of finding integrals for 3-dimensional dynamical systems
-
J. M. Strelcyn and S. Wojciechowski, "A method of finding integrals for 3-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
-
10
-
-
0001537866
-
Quadratic differential equations and non-associative algebras
-
edited by L. Cesari, J. P. La Salle, and S. Lefshetz Princeton U.P. Princeton, NJ
-
L. Markus, "Quadratic differential equations and non-associative algebras," in Contributions to the Theory of Nonlinear Oscillations, edited by L. Cesari, J. P. La Salle, and S. Lefshetz (Princeton U.P. Princeton, NJ, 1960), Vol. 5, pp. 185-213.
-
(1960)
Contributions to the Theory of Nonlinear Oscillations
, vol.5
, pp. 185-213
-
-
Markus, L.1
-
11
-
-
49249151623
-
Non associative real algebras and quadratic differential equations
-
J. Kaplan and J. Yorke, "Non associative real algebras and quadratic differential equations," Nonlinear Anal. TMA, 3, 49-51 (1979).
-
(1979)
Nonlinear Anal. TMA
, vol.3
, pp. 49-51
-
-
Kaplan, J.1
Yorke, J.2
-
12
-
-
0002122452
-
Algebras and differential equations
-
H. Röhrl, "Algebras and differential equations," Nagoya Math. J. 68, 59-122 (1977).
-
(1977)
Nagoya Math. J.
, vol.68
, pp. 59-122
-
-
Röhrl, H.1
-
13
-
-
0011130334
-
A theorem on non-associative algebras and its application to differential equations
-
H. Röhrl, "A theorem on non-associative algebras and its application to differential equations," Manuscr. Math. 21, 181-187 (1977).
-
(1977)
Manuscr. Math.
, vol.21
, pp. 181-187
-
-
Röhrl, H.1
-
15
-
-
0000124854
-
Universal canonical forms for the time-continuous dynamical systems
-
L. Brenig and A. Goriely, "Universal canonical forms for the time-continuous dynamical systems," Phys. Rev. A 40(7), 4119-4122 (1989).
-
(1989)
Phys. Rev. A
, vol.40
, Issue.7
, pp. 4119-4122
-
-
Brenig, L.1
Goriely, A.2
-
16
-
-
0001967019
-
Painlevé Analysis and Normal Forms
-
edited by E. Tournier Cambridge U.P., Cambridge
-
L. Brenig and A. Goriely, "Painlevé Analysis and Normal Forms," in London Math. Soc. Lecture Note Series 195, edited by E. Tournier (Cambridge U.P., Cambridge, 1994), pp. 211-237.
-
(1994)
London Math. Soc. Lecture Note Series
, vol.195
, pp. 211-237
-
-
Brenig, L.1
Goriely, A.2
-
17
-
-
0039361967
-
Nonpolynomial vector fields under Lotka-Volterra normal form
-
B. Hernándes-Bermejo and V. Fairen, "Nonpolynomial vector fields under Lotka-Volterra normal form," Phys. Lett. A 206(1,2), 31-37 (1995).
-
(1995)
Phys. Lett. A
, vol.206
, Issue.1-2
, pp. 31-37
-
-
Hernándes-Bermejo, B.1
Fairen, V.2
-
18
-
-
0041160421
-
Transformation of polynomial differential systems in the positive orthant
-
Sophia-Antilopis, 06561, Valbonne, France
-
J. L. Gouzé, "Transformation of polynomial differential systems in the positive orthant," Rapport INRIA, Sophia-Antilopis, 06561, Valbonne, France (1990).
-
(1990)
Rapport INRIA
-
-
Gouzé, J.L.1
-
19
-
-
0022687590
-
Equivalence between S-systems and Volterra systems
-
E. O. Voit and M. A. Savageau, "Equivalence between S-systems and Volterra systems," Math. Biosci. 78, 47-55 (1986).
-
(1986)
Math. Biosci.
, vol.78
, pp. 47-55
-
-
Voit, E.O.1
Savageau, M.A.2
-
20
-
-
85033938445
-
Lotka-Volterra representations of general nonlinear systems
-
in press
-
B. Hernándes-Bermejo and V. Fairén, "Lotka-Volterra representations of general nonlinear systems," Math. Biosci. (in press).
-
Math. Biosci.
-
-
Hernándes-Bermejo, B.1
Fairén, V.2
-
21
-
-
36749109668
-
Universal formats for nonlinear ordinary differential systems
-
H. E. Kerner, "Universal formats for nonlinear ordinary differential systems," J. Math. Phys. 22, 1366-1371 (1981).
-
(1981)
J. Math. Phys.
, vol.22
, pp. 1366-1371
-
-
Kerner, H.E.1
-
22
-
-
0342349799
-
Recasting nonlinear differential equations as S-systems: A canonical nonlinear form
-
M. A. Savageau and E. O. Voit, "Recasting nonlinear differential equations as S-systems: a canonical nonlinear form," Math. Biosci. 87, 83-115 (1987).
-
(1987)
Math. Biosci.
, vol.87
, pp. 83-115
-
-
Savageau, M.A.1
Voit, E.O.2
-
23
-
-
0001620238
-
Analytical note on certain rhythmic relations in organic systems
-
A. J. Lotka, "Analytical note on certain rhythmic relations in organic systems," Proc. Natl. Acad. Sci. USA 6, 410 (1920).
-
(1920)
Proc. Natl. Acad. Sci. USA
, vol.6
, pp. 410
-
-
Lotka, A.J.1
-
25
-
-
0002144503
-
Quadratical differential systems for interactive populations models
-
R. D. Jenks, "Quadratical differential systems for interactive populations models," J. Diff. Eqns. 5, 497-514 (1969).
-
(1969)
J. Diff. Eqns.
, vol.5
, pp. 497-514
-
-
Jenks, R.D.1
-
26
-
-
0042981278
-
Commutative nonassociative algebras and cubic forms
-
D. K. Harrison, "Commutative nonassociative algebras and cubic forms," J. Algebra. 32, 518-528 (1974).
-
(1974)
J. Algebra
, vol.32
, pp. 518-528
-
-
Harrison, D.K.1
-
29
-
-
0001569894
-
Families of invariants of the motion for the Lotka-Volterra equations: The linear polynomials family
-
L. Cairo and M. R. Feix, "Families of invariants of the motion for the Lotka-Volterra equations: the linear polynomials family," J. Math. Phys. 33, 2440-2455 (1992).
-
(1992)
J. Math. Phys.
, vol.33
, pp. 2440-2455
-
-
Cairo, L.1
Feix, M.R.2
-
30
-
-
0000241853
-
Deterministic nonperiodic flow
-
E. N. Lorenz, "Deterministic nonperiodic flow," J. Atmos. Sci. 20, 130-141 (1963).
-
(1963)
J. Atmos. Sci.
, vol.20
, pp. 130-141
-
-
Lorenz, E.N.1
-
31
-
-
0000587469
-
Lie symmetries of the Lorenz model
-
T. Sen and M. Tabor, "Lie symmetries of the Lorenz model," Physica D 44, 313-339 (1990).
-
(1990)
Physica D
, vol.44
, pp. 313-339
-
-
Sen, T.1
Tabor, M.2
-
32
-
-
0030355465
-
A geometrical method towards first integrals for dynamical systems
-
S. Labrunie and R. Conte, "A geometrical method towards first integrals for dynamical systems," J. Math. Phys. 37, 6198-6206 (1996).
-
(1996)
J. Math. Phys.
, vol.37
, pp. 6198-6206
-
-
Labrunie, S.1
Conte, R.2
-
33
-
-
21344483099
-
Time-independent invariants of motion for the quadratic system
-
D. D. Hua, L. Cairo, and M. R. Feix, "Time-independent invariants of motion for the quadratic system," J. Phys. A 26, 7097-7114 (1993).
-
(1993)
J. Phys. A
, vol.26
, pp. 7097-7114
-
-
Hua, D.D.1
Cairo, L.2
Feix, M.R.3
-
36
-
-
48549109270
-
On the complete and partial integrability of non-Hamiltonian systems
-
T. C. Bountis, A. Ramani, B Grammaticos, and B. Dorizzi. "On the complete and partial integrability of non-Hamiltonian systems," Physica A 128, 268-288 (1984).
-
(1984)
Physica A
, vol.128
, pp. 268-288
-
-
Bountis, T.C.1
Ramani, A.2
Grammaticos, B.3
Dorizzi, B.4
|