-
3
-
-
0000465791
-
On the number of limit cycles which appear with the variation of the coefficients from an equillibrium position of focus or center type
-
Bautin N.N. On the number of limit cycles which appear with the variation of the coefficients from an equillibrium position of focus or center type. Math. USSR Sb. 100:1954;397-413.
-
(1954)
Math. USSR Sb.
, vol.100
, pp. 397-413
-
-
Bautin, N.N.1
-
4
-
-
0003238782
-
Local Theory of Nonlinear Analytic Ordinary Differential Equations
-
Berlin: Springer
-
Bibikov Yu.N. Local Theory of Nonlinear Analytic Ordinary Differential Equations. Lect. Notes Math. 702:1979;Springer, Berlin.
-
(1979)
Lect. Notes Math.
, vol.702
-
-
Bibikov, Yu.N.1
-
5
-
-
0005837606
-
Local orbital normal forms of vector fields in the plane
-
(in Russian)
-
Bogdanov R.I. Local orbital normal forms of vector fields in the plane. Trudy Sem. Petrovsk. 5:1979;51-84. (in Russian).
-
(1979)
Trudy Sem. Petrovsk.
, vol.5
, pp. 51-84
-
-
Bogdanov, R.I.1
-
6
-
-
0001055171
-
Analytic form of differential equations
-
Bryuno A.D. Analytic form of differential equations. Trudy Moskov. Mat. Obshch. 25:1971;119-262.
-
(1971)
Trudy Moskov. Mat. Obshch.
, vol.25
, pp. 119-262
-
-
Bryuno, A.D.1
-
7
-
-
0001055171
-
Analytic form of differential equations
-
Bryuno A.D. Analytic form of differential equations. Trudy Moskov. Mat. Obshch. 26:1972;199-239.
-
(1972)
Trudy Moskov. Mat. Obshch.
, vol.26
, pp. 199-239
-
-
Bryuno, A.D.1
-
8
-
-
0001055171
-
Analytic form of differential equations
-
English transl. in:
-
English transl. in: Bryuno A.D. Analytic form of differential equations. Trans. Moscow Math. Soc. 25:1971.
-
(1971)
Trans. Moscow Math. Soc.
, vol.25
-
-
Bryuno, A.D.1
-
9
-
-
0001055171
-
Analytic form of differential equations
-
Bryuno A.D. Analytic form of differential equations. Trans. Moscow Math. Soc. 26:1972.
-
(1972)
Trans. Moscow Math. Soc.
, vol.26
-
-
Bryuno, A.D.1
-
10
-
-
0034737212
-
Darboux integrability for the 3-dimensional Lotka-Volterra systems
-
Cairó L., Llibre J. Darboux integrability for the 3-dimensional Lotka-Volterra systems. J. Phys. A: Math. Gen. 33:2000;2395-2406.
-
(2000)
J. Phys. A: Math. Gen.
, vol.33
, pp. 2395-2406
-
-
Cairó, L.1
Llibre, J.2
-
11
-
-
0012113127
-
Integrability and algebraic solutions for planar polynomial differential systems with emphasis on the quadratic systems
-
Cairó L., Feix M.R., Llibre J. Integrability and algebraic solutions for planar polynomial differential systems with emphasis on the quadratic systems. Resenhas. 4:1999;127-161.
-
(1999)
Resenhas
, vol.4
, pp. 127-161
-
-
Cairó, L.1
Feix, M.R.2
Llibre, J.3
-
13
-
-
0001870683
-
Integrability via invariant algebraic curves for planar polynomial differential systems
-
Christopher C., Llibre J. Integrability via invariant algebraic curves for planar polynomial differential systems. Ann. Differential Equations. 16:2000;5-19.
-
(2000)
Ann. Differential Equations
, vol.16
, pp. 5-19
-
-
Christopher, C.1
Llibre, J.2
-
14
-
-
0002792963
-
Algebraic aspects of integrability for polynomial systems
-
Christopher C., Llibre J. Algebraic aspects of integrability for polynomial systems. Qual. Theory Dyn. Syst. 1:1999;71-95.
-
(1999)
Qual. Theory Dyn. Syst.
, vol.1
, pp. 71-95
-
-
Christopher, C.1
Llibre, J.2
-
16
-
-
0003136372
-
Mémoire sur les équations différentielles algébriques du premier ordre et du premier degré (Mélanges)
-
123-144; 151-200
-
Darboux G. Mémoire sur les équations différentielles algébriques du premier ordre et du premier degré (Mélanges). Bull. Sci. Math. 2ème série. 2:1878;60-96. 123-144; 151-200.
-
(1878)
Bull. Sci. Math. 2ème Série
, vol.2
, pp. 60-96
-
-
Darboux, G.1
-
17
-
-
0001849151
-
Recherches sur les points singuliers des équations différentielles
-
Dulac H. Recherches sur les points singuliers des équations différentielles. J. Ecole Polytech. 2:1904;1-125.
-
(1904)
J. Ecole Polytech.
, vol.2
, pp. 1-125
-
-
Dulac, H.1
-
19
-
-
0007151781
-
Über das Auftreten von Wirbeln und Strudeln (geschlossener und spiraliger Integralkurven) in der Umgebung rationaler Unbestimmheitasstellen
-
Frommer M. Über das Auftreten von Wirbeln und Strudeln (geschlossener und spiraliger Integralkurven) in der Umgebung rationaler Unbestimmheitasstellen. Math. Ann. 109:1934;395-424.
-
(1934)
Math. Ann.
, vol.109
, pp. 395-424
-
-
Frommer, M.1
-
20
-
-
0030535391
-
On non-integrability of general systems of differential equations
-
Furta S.D. On non-integrability of general systems of differential equations. Z. Angew Math. Phys. 47:1996;112-131.
-
(1996)
Z. Angew Math. Phys.
, vol.47
, pp. 112-131
-
-
Furta, S.D.1
-
21
-
-
0001635186
-
Integrals of motion for three-dimensional non-Hamiltonian dynamical systems
-
Giacomini H.J., Repetto C.E., Zandron O.P. Integrals of motion for three-dimensional non-Hamiltonian dynamical systems. J. Phys. A: Math. Gen. 24:1991;4567-4574.
-
(1991)
J. Phys. A: Math. Gen.
, vol.24
, pp. 4567-4574
-
-
Giacomini, H.J.1
Repetto, C.E.2
Zandron, O.P.3
-
22
-
-
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. 37:1996;1871-1893.
-
(1996)
J. Math. Phys.
, vol.37
, pp. 1871-1893
-
-
Goriely, A.1
-
23
-
-
0003106839
-
Nonlinear Stokes phenomena
-
Il'yashenko Yu. Nonlinear Stokes phenomena. Adv. Soviet Math. 14:1993;1-55.
-
(1993)
Adv. Soviet Math.
, vol.14
, pp. 1-55
-
-
Il'yashenko, Yu.1
-
24
-
-
0003269768
-
Equations de Pfaff algébriques
-
New York: Springer
-
Jouanolou J.P. Equations de Pfaff algébriques. Lectures Notes in Math. 708:1979;Springer, New York.
-
(1979)
Lectures Notes in Math.
, vol.708
-
-
Jouanolou, J.P.1
-
25
-
-
0010096740
-
New investigations on the midpoints of integrals of differential equations of the first degree
-
21, 27-33 (in Dutch)
-
Kapteyn W. New investigations on the midpoints of integrals of differential equations of the first degree. Nederl. Akad. Wetensch. Verslag Afd. Natuurk. 20:1912;1354-1365. 21, 27-33 (in Dutch).
-
(1912)
Nederl. Akad. Wetensch. Verslag Afd. Natuurk.
, vol.20
, pp. 1354-1365
-
-
Kapteyn, W.1
-
27
-
-
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. 37:1996;5539-5550.
-
(1996)
J. Math. Phys.
, vol.37
, pp. 5539-5550
-
-
Labrunie, S.1
-
30
-
-
0034721624
-
Invariant algebraic surfaces of the Rikitake system
-
Llibre J., Zhang Xiang. Invariant algebraic surfaces of the Rikitake system. J. Phys. A: Math. Gen. 33:2000;7613-7635.
-
(2000)
J. Phys. A: Math. Gen.
, vol.33
, pp. 7613-7635
-
-
Llibre, J.1
Zhang, X.2
-
31
-
-
0001693497
-
Polynomial first integrals of the Lotka-Volterra system
-
Moulin Ollagnier J. Polynomial first integrals of the Lotka-Volterra system. Bull. Sci. Math. 121:1997;463-476.
-
(1997)
Bull. Sci. Math.
, vol.121
, pp. 463-476
-
-
Moulin Ollagnier, J.1
-
32
-
-
0033209543
-
Rational integration of the Lotka-Volterra system
-
Moulin Ollagnier J. Rational integration of the Lotka-Volterra system. Bull. Sci. Math. 123:1999;437-466.
-
(1999)
Bull. Sci. Math.
, vol.123
, pp. 437-466
-
-
Moulin Ollagnier, J.1
-
33
-
-
65749318814
-
Sur l'intégration des équations différentielles du premier ordre et du premier degré I and II
-
11 (1897), 193-239
-
Poincaré H. Sur l'intégration des équations différentielles du premier ordre et du premier degré I and II. Rendiconti del Circolo Matematico di Palermo. 5:1891;161-191. 11 (1897), 193-239.
-
(1891)
Rendiconti del Circolo Matematico di Palermo
, vol.5
, pp. 161-191
-
-
Poincaré, H.1
-
34
-
-
1542795332
-
Elementary first integrals of differential equations
-
Prelle M.J., Singer M.F. Elementary first integrals of differential equations. Trans. Amer. Math. Soc. 279:1983;613-636.
-
(1983)
Trans. Amer. Math. Soc.
, vol.279
, pp. 613-636
-
-
Prelle, M.J.1
Singer, M.F.2
-
35
-
-
84968514049
-
Algebraic particular integrals, integrability and the problem of the center
-
Schlomiuk D. Algebraic particular integrals, integrability and the problem of the center. Trans. Amer. Math. Soc. 338:1993;799-841.
-
(1993)
Trans. Amer. Math. Soc.
, vol.338
, pp. 799-841
-
-
Schlomiuk, D.1
-
36
-
-
84968484573
-
Liouvillian first integrals of differential equations
-
Singer M.F. Liouvillian first integrals of differential equations. Trans. Amer. Math. Soc. 333:1992;673-688.
-
(1992)
Trans. Amer. Math. Soc.
, vol.333
, pp. 673-688
-
-
Singer, M.F.1
|