-
4
-
-
8444245616
-
The integration of functions of a single variable
-
in: J.G. Leathem, E.T. Whitaker (Eds.), Cambridge University Press, Cambridge
-
G.H. Hardy, The integration of functions of a single variable, in: J.G. Leathem, E.T. Whitaker (Eds.), Cambridge Tracts in Mathematics and Mathematical Physics, vol. 2, Cambridge University Press, Cambridge.
-
Cambridge Tracts in Mathematics and Mathematical Physics
, vol.2
-
-
Hardy, G.H.1
-
9
-
-
0011566575
-
Nouvelle recherches sur le problème des trois corps
-
K. Sundman, Nouvelle recherches sur le problème des trois corps, Acta Societatis Scientiarum Fennicae 35 (1909).
-
(1909)
Acta Societatis Scientiarum Fennicae
, vol.35
-
-
Sundman, K.1
-
10
-
-
1542491033
-
Mèmoire sur le problème des trois corps
-
Sundman K. Mèmoire sur le problème des trois corps. Acta Mathematica. 36:1912;105-179.
-
(1912)
Acta Mathematica
, vol.36
, pp. 105-179
-
-
Sundman, K.1
-
11
-
-
34249924049
-
The global solution of the n -body problem
-
Wang Q. The global solution of the. n -body problem Celestial Mech. 50:1991;73-88.
-
(1991)
Celestial Mech.
, vol.50
, pp. 73-88
-
-
Wang, Q.1
-
12
-
-
0030305241
-
The solution of the n -body problem
-
Diacu F. The solution of the. n -body problem Math. Intelligencer. 18:1996;66-70.
-
(1996)
Math. Intelligencer
, vol.18
, pp. 66-70
-
-
Diacu, F.1
-
14
-
-
0004161838
-
-
Cambridge University Press, Cambridge
-
W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, Numerical Recipes in C, Cambridge University Press, Cambridge, 1988.
-
(1988)
Numerical Recipes in C
-
-
Press, W.H.1
Flannery, B.P.2
Teukolsky, S.A.3
Vetterling, W.T.4
-
17
-
-
0000663138
-
Mémoire sur les courbes définies par une équation différentielle
-
Poincaré H. Mémoire sur les courbes définies par une équation différentielle. Journal de Mathématiques. 3(7):1881;375-422.
-
(1881)
Journal de Mathématiques
, vol.3
, Issue.7
, pp. 375-422
-
-
Poincaré, H.1
-
18
-
-
0007220843
-
Mémoire sur les courbes définies par une équation différentielle
-
Poincaré H. Mémoire sur les courbes définies par une équation différentielle. Journal de Mathématiques. 3(8):1882;251-296.
-
(1882)
Journal de Mathématiques
, vol.3
, Issue.8
, pp. 251-296
-
-
Poincaré, H.1
-
19
-
-
0001277779
-
Sur les courbes définies par les équations différentielles
-
Poincaré H. Sur les courbes définies par les équations différentielles. Journal de Mathématiques. 4(1):1885;167-244.
-
(1885)
Journal de Mathématiques
, vol.4
, Issue.1
, pp. 167-244
-
-
Poincaré, H.1
-
20
-
-
0000315975
-
Sur les courbes définies par les équations différentielles
-
Poincaré H. Sur les courbes définies par les équations différentielles. Journal de Mathématiques. 4(2):1886;151-217.
-
(1886)
Journal de Mathématiques
, vol.4
, Issue.2
, pp. 151-217
-
-
Poincaré, H.1
-
21
-
-
0011080570
-
Poincaré and the three body problem
-
American Mathematical Society and London Mathematical Society
-
J. Barrow-Green, Poincaré and the three body problem, in: History of Mathematics, vol. 11, American Mathematical Society and London Mathematical Society, 1997.
-
(1997)
In: History of Mathematics
, vol.11
-
-
Barrow-Green, J.1
-
22
-
-
0004252991
-
-
Pergamon, London
-
A.A. Andronov, A.A. Vitt, S.E. Khaikin, Theory of Oscillators, Pergamon, London, 1966.
-
(1966)
Theory of Oscillators
-
-
Andronov, A.A.1
Vitt, A.A.2
Khaikin, S.E.3
-
23
-
-
0003555632
-
-
Van Nostrand, New York
-
N. Minorsky, Nonlinear Oscillations, Van Nostrand, New York, 1962.
-
(1962)
Nonlinear Oscillations
-
-
-
25
-
-
0003779190
-
-
Academic Press, New York
-
M.W. Hirsch, S. Smale, Differential Equations, Dynamical Systems and Linear Algebra, Academic Press, New York, 1974.
-
(1974)
Differential Equations, Dynamical Systems and Linear Algebra
-
-
Hirsch, M.W.1
Smale, S.2
-
26
-
-
0003478288
-
-
Springer, New York
-
J. Guckenheimer, P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, vol. 42, Springer, New York, 1983.
-
(1983)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
, vol.42
-
-
Guckenheimer, J.1
Holmes, P.2
-
29
-
-
0000870544
-
Die Kinetic der Invertinwirkung
-
Michaelis L., Menten M.L. Die Kinetic der Invertinwirkung. Biochem. Z. 49:1913;333-369.
-
(1913)
Biochem. Z.
, vol.49
, pp. 333-369
-
-
Michaelis, L.1
Menten, M.L.2
-
32
-
-
0041126085
-
Simplification of biochemical reaction systems
-
in: L.A. Segel (Ed.), Cambridge University Press, Cambridge
-
B.P. Zeigler, Simplification of biochemical reaction systems, in: L.A. Segel (Ed.), Mathematical Models in Molecular and Cellular Biology, Cambridge University Press, Cambridge, 1980, pp. 112-143.
-
(1980)
Mathematical Models in Molecular and Cellular Biology
, pp. 112-143
-
-
Zeigler, B.P.1
-
35
-
-
0000779360
-
Detecting strange attractors in turbulence
-
in: D.A. Rand, L.S. Young (Eds.), Springer, Berlin
-
F. Takens, Detecting strange attractors in turbulence, in: D.A. Rand, L.S. Young (Eds.), Dynamical Systems and Turbulence, vol. 898, Springer, Berlin, 1981, pp. 365-381.
-
(1981)
Dynamical Systems and Turbulence
, vol.898
, pp. 365-381
-
-
Takens, F.1
-
36
-
-
0003290175
-
On the dimension of the compact invariant sets of certain nonlinear maps
-
in: D.A. Rand, L.-S. Young (Eds.), Springer, New York
-
R. Mañé, On the dimension of the compact invariant sets of certain nonlinear maps, in: D.A. Rand, L.-S. Young (Eds.), Dynamical Systems and Turbulence, vol. 898, Springer, New York, 1980, pp. 230-242.
-
(1980)
Dynamical Systems and Turbulence
, vol.898
, pp. 230-242
-
-
Mañé, R.1
-
37
-
-
0010162362
-
The Takens embedding theorem
-
Noakes L. The Takens embedding theorem. Int. J. Bifurcation and Chaos. 1(4):1991;867-872.
-
(1991)
Int. J. Bifurcation and Chaos
, vol.1
, Issue.4
, pp. 867-872
-
-
Noakes, L.1
-
38
-
-
0000497870
-
Embedding as a modeling problem
-
Judd K., Mees A.I. Embedding as a modeling problem. Physica D. 120:1998;273-286.
-
(1998)
Physica D
, vol.120
, pp. 273-286
-
-
Judd, K.1
Mees, A.I.2
-
39
-
-
35949018382
-
Ergodic theory of chaos and strange attractors
-
Eckmann J.-P., Ruelle D. Ergodic theory of chaos and strange attractors. Rev. Mod. Phys. 57:1985;617-656.
-
(1985)
Rev. Mod. Phys.
, vol.57
, pp. 617-656
-
-
Eckmann, J.-P.1
Ruelle, D.2
-
40
-
-
26744479578
-
A comparative study of embedding methods
-
submitted for publication
-
C.J. Cellucci, A.M. Albano, P.E. Rapp, A.D. Krystal, A comparative study of embedding methods, Phys. Rev. (1998), submitted for publication.
-
(1998)
Phys. Rev.
-
-
Cellucci, C.J.1
Albano, A.M.2
Rapp, P.E.3
Krystal, A.D.4
-
41
-
-
11944266815
-
Direct test for determinism in a time series
-
Kaplan D.T., Glass L. Direct test for determinism in a time series. Phys. Rev. Lett. 68(4):1992;427-430.
-
(1992)
Phys. Rev. Lett.
, vol.68
, Issue.4
, pp. 427-430
-
-
Kaplan, D.T.1
Glass, L.2
-
42
-
-
0003688299
-
Automatic differentiation of algorithms: Theory, implementation and application
-
A. Griewank, G.F. Corliss, Automatic differentiation of algorithms: theory, implementation and application, in: SIAM Proc. on Applied Mathematics, vol. 53, 1991.
-
(1991)
In: SIAM Proc. on Applied Mathematics
, vol.53
-
-
Griewank, A.1
Corliss, G.F.2
-
44
-
-
45149144372
-
Nonlinear prediction of chaotic time series
-
Casdagli M. Nonlinear prediction of chaotic time series. Physica D. 35:1989;335-356.
-
(1989)
Physica D
, vol.35
, pp. 335-356
-
-
Casdagli, M.1
-
45
-
-
0001977937
-
Identification and prediction of low-dimensional dynamics
-
Smith L.A. Identification and prediction of low-dimensional dynamics. Physica D. 58:1992;50-76.
-
(1992)
Physica D
, vol.58
, pp. 50-76
-
-
Smith, L.A.1
-
46
-
-
21344493751
-
Parsimonious dynamical reconstruction
-
Mees A.I. Parsimonious dynamical reconstruction. Int. J. Bifurcation and Chaos. 3:1993;669-675.
-
(1993)
Int. J. Bifurcation and Chaos
, vol.3
, pp. 669-675
-
-
Mees, A.I.1
-
47
-
-
0001263962
-
On selecting models for nonlinear time series
-
Judd K., Mees A.I. On selecting models for nonlinear time series. Physica D. 82:1995;426-444.
-
(1995)
Physica D
, vol.82
, pp. 426-444
-
-
Judd, K.1
Mees, A.I.2
-
49
-
-
0027599793
-
Universal approximation bounds for superpositions of a sigmoidal function
-
Barron A.R. Universal approximation bounds for superpositions of a sigmoidal function. IEEE Trans. on Information Theory. 39:1993;930-945.
-
(1993)
IEEE Trans. on Information Theory
, vol.39
, pp. 930-945
-
-
Barron, A.R.1
-
50
-
-
0000611452
-
Dynamical systems and tesselations: Detecting determinism in data
-
Mees A.I. Dynamical systems and tesselations: Detecting determinism in data. Int. J. Bifurcation and Chaos. 1:1991;777-794.
-
(1991)
Int. J. Bifurcation and Chaos
, vol.1
, pp. 777-794
-
-
Mees, A.I.1
-
51
-
-
0003418517
-
Reconstructing noisy dynamical systems by triangulation
-
Allie S., Mees A.I. Reconstructing noisy dynamical systems by triangulation. Phys. Rev. E. 55:1997;87-93.
-
(1997)
Phys. Rev. e
, vol.55
, pp. 87-93
-
-
Allie, S.1
Mees, A.I.2
-
52
-
-
0000796112
-
A simple lemma on greedy approximation in Hilbert space and convergence rates for projection pursuit regression and neural network training
-
Jones L.K. A simple lemma on greedy approximation in Hilbert space and convergence rates for projection pursuit regression and neural network training. The Annals of Statistics. 20:1992;608-613.
-
(1992)
The Annals of Statistics
, vol.20
, pp. 608-613
-
-
Jones, L.K.1
-
54
-
-
21344486190
-
Global dynamical equations and Lyapunov exponents from noisy chaotic time series
-
Kadtke J.B., Brush J., Holzfuss J. Global dynamical equations and Lyapunov exponents from noisy chaotic time series. Intern. J. Bifurcation and Chaos. 3(3):1993;607-616.
-
(1993)
Intern. J. Bifurcation and Chaos
, vol.3
, Issue.3
, pp. 607-616
-
-
Kadtke, J.B.1
Brush, J.2
Holzfuss, J.3
-
56
-
-
0000120766
-
Estimating the dimension of a model
-
Schwarz G. Estimating the dimension of a model. Ann. Stat. 6:1978;461-464.
-
(1978)
Ann. Stat.
, vol.6
, pp. 461-464
-
-
Schwarz, G.1
-
57
-
-
0016355478
-
A New Look at the Statistical Model Identification Problem
-
Akaike H. A New Look at the Statistical Model Identification Problem. IEEE Trans. on Automatic Control. 19(6):1974;716-723.
-
(1974)
IEEE Trans. on Automatic Control
, vol.19
, Issue.6
, pp. 716-723
-
-
Akaike, H.1
-
60
-
-
0000761266
-
Finding periodic orbits from short time series
-
submitted for publication
-
S. Allie, A. Mees, Finding periodic orbits from short time series, Phys. Rev. Lett., 1997, submitted for publication.
-
(1997)
Phys. Rev. Lett.
-
-
Allie, S.1
Mees, A.2
|