-
1
-
-
0000478731
-
Completely integrable Hamiltonian systems on the group of triangular matrices
-
A.A. Arhangelskij, Completely integrable Hamiltonian systems on the group of triangular matrices, Mat. Sb. 108 (4) (1979) 134-142.
-
(1979)
Mat. Sb.
, vol.108
, Issue.4
, pp. 134-142
-
-
Arhangelskij, A.A.1
-
3
-
-
0002769432
-
Steepest descent, linear programming and Hamiltonian flows
-
A.M. Bloch, Steepest descent, linear programming and Hamiltonian flows, Contemp. Math. AMS 114 (1990) 77-88.
-
(1990)
Contemp. Math. AMS
, vol.114
, pp. 77-88
-
-
Bloch, A.M.1
-
4
-
-
84968517727
-
A new formulation of the generalized Toda lattice equations and their fixed point analysis via the moment map
-
A.M. Bloch, R.W. Brockett, T. Ratiu, A new formulation of the generalized Toda lattice equations and their fixed point analysis via the moment map, Bull. AMS 23 (2) (1990) 447-456.
-
(1990)
Bull. AMS
, vol.23
, Issue.2
, pp. 447-456
-
-
Bloch, A.M.1
Brockett, R.W.2
Ratiu, T.3
-
6
-
-
84974000691
-
A convexity theorem for isospectral sets of Jacobi matrices in a compact Lie algebra
-
A.M. Bloch, H. Flaschka, T.S. Ratiu, A convexity theorem for isospectral sets of Jacobi matrices in a compact Lie algebra, Duke Math. J. 61 (1990) 41-66.
-
(1990)
Duke Math. J.
, vol.61
, pp. 41-66
-
-
Bloch, A.M.1
Flaschka, H.2
Ratiu, T.S.3
-
7
-
-
0001074982
-
On perturbations of the periodic Toda lattice
-
O.I. Bogayavlensky, On perturbations of the periodic Toda lattice, Comm. Math. Phys. 51 (1976) 201-209.
-
(1976)
Comm. Math. Phys.
, vol.51
, pp. 201-209
-
-
Bogayavlensky, O.I.1
-
8
-
-
0024175873
-
Dynamical systems that sort lists and solve linear programming problems
-
R.W. Brockett, Dynamical systems that sort lists and solve linear programming problems, Proc. IEEE 27 (1988) 799-803; Linear Algebra Appl. 146 (1991) 79-91.
-
(1988)
Proc. IEEE
, vol.27
, pp. 799-803
-
-
Brockett, R.W.1
-
9
-
-
0024175873
-
-
R.W. Brockett, Dynamical systems that sort lists and solve linear programming problems, Proc. IEEE 27 (1988) 799-803; Linear Algebra Appl. 146 (1991) 79-91.
-
(1991)
Linear Algebra Appl.
, vol.146
, pp. 79-91
-
-
-
10
-
-
0010189217
-
Differential geometry and the design of gradient algorithms
-
R.W. Brockett, Differential geometry and the design of gradient algorithms, Proc. Symp. Pure Math. (AMS) 54 (Part I) (1993) 69-92.
-
(1993)
Proc. Symp. Pure Math. (AMS)
, vol.54
, Issue.PART I
, pp. 69-92
-
-
Brockett, R.W.1
-
11
-
-
0026104952
-
Toda flows, inverse spectral problems and realization theory
-
R.W. Brockett, L.E. Faybusovich, Toda flows, inverse spectral problems and realization theory, Systems Control Lett., 16 (1991) 79-88.
-
(1991)
Systems Control Lett.
, vol.16
, pp. 79-88
-
-
Brockett, R.W.1
Faybusovich, L.E.2
-
12
-
-
84972577779
-
Some aspherical manifolds
-
M.W. Davis, Some aspherical manifolds, Duke Math. J. 5 (1987) 105-139.
-
(1987)
Duke Math. J.
, vol.5
, pp. 105-139
-
-
Davis, M.W.1
-
13
-
-
84974000503
-
Convex polytopes, coxeter orbifolds and torus actions
-
M. Davis, T. Januszkiewicz, Convex polytopes, coxeter orbifolds and torus actions, Duke. Math. J. 62 (1991) 417-451.
-
(1991)
Duke. Math. J.
, vol.62
, pp. 417-451
-
-
Davis, M.1
Januszkiewicz, T.2
-
14
-
-
84990617915
-
The Toda lattice on a generic orbit is integrable
-
P.A. Deift, L.-C. Li, T. Nanda, C. Tomei, The Toda lattice on a generic orbit is integrable, Comm. Pure Appl. Math. 39 (1986) 183-232.
-
(1986)
Comm. Pure Appl. Math.
, vol.39
, pp. 183-232
-
-
Deift, P.A.1
Li, L.-C.2
Nanda, T.3
Tomei, C.4
-
16
-
-
0002553195
-
Differential equations for the symmetric eigenvalue problem
-
P.T. Deift, T. Nanda, C. Tomei, Differential equations for the symmetric eigenvalue problem, SIAM J. Numer. Anal. 20 (1983) 1-22.
-
(1983)
SIAM J. Numer. Anal.
, vol.20
, pp. 1-22
-
-
Deift, P.T.1
Nanda, T.2
Tomei, C.3
-
18
-
-
0001117260
-
The geometry of the full Kostant-Toda lattice
-
N.M. Ercolani, H. Flaschka, S. Singer, The geometry of the full Kostant-Toda lattice, Progr. Math. 115 (1993) 181-225.
-
(1993)
Progr. Math.
, vol.115
, pp. 181-225
-
-
Ercolani, N.M.1
Flaschka, H.2
Singer, S.3
-
19
-
-
0001404457
-
Hamiltonian and system-theoretic properties of the HR-algorithm
-
L.E. Faybusovich, Hamiltonian and system-theoretic properties of the HR-algorithm, J. Math. Systems, Estimation, and Control 3 (1993) 129-146.
-
(1993)
J. Math. Systems, Estimation, and Control
, vol.3
, pp. 129-146
-
-
Faybusovich, L.E.1
-
20
-
-
25344451956
-
The Toda lattice I
-
H. Flaschka, The Toda lattice I, Phys. Rev. B 9 (1974) 1924-1925.
-
(1974)
Phys. Rev. B
, vol.9
, pp. 1924-1925
-
-
Flaschka, H.1
-
21
-
-
0010159385
-
-
Sophia-Antipolos, World Scientific, Singapore
-
H. Flaschka, Integrable systems and torus actions, Lectures on Integrable Systems (Sophia-Antipolos, 1991), World Scientific, Singapore, 1994.
-
(1991)
Integrable Systems and Torus Actions, Lectures on Integrable Systems
, pp. 1994
-
-
Flaschka, H.1
-
22
-
-
0031285601
-
Completeness of real Toda flows
-
M. Gekhtman, M. Shapiro, Completeness of real Toda flows, Math. Zeitschrift 226 (1997) 51-66.
-
(1997)
Math. Zeitschrift
, vol.226
, pp. 51-66
-
-
Gekhtman, M.1
Shapiro, M.2
-
24
-
-
0001600405
-
Integrals of the Toda lattice
-
M. Henon, Integrals of the Toda lattice, Phys. Rev. B 9 (1974) 1921-1923.
-
(1974)
Phys. Rev. B
, vol.9
, pp. 1921-1923
-
-
Henon, M.1
-
25
-
-
0000560858
-
Toda hierarchy with indefinite metric
-
Y. Kodama, J. Ye, Toda hierarchy with indefinite metric, Physica D 91 (1996) 321-339.
-
(1996)
Physica D
, vol.91
, pp. 321-339
-
-
Kodama, Y.1
Ye, J.2
-
26
-
-
0030553181
-
Iso-spectral deformations of a general matrix and their reductions on Lie algebra
-
Y. Kodama, J. Ye, Iso-spectral deformations of a general matrix and their reductions on Lie algebra, Comm. Math. Phys. 178 (1996) 765-788.
-
(1996)
Comm. Math. Phys.
, vol.178
, pp. 765-788
-
-
Kodama, Y.1
Ye, J.2
-
28
-
-
0000876641
-
The solution to a generalized Toda lattice and representation theory
-
B. Kostant, The solution to a generalized Toda lattice and representation theory, Adv. in Math. 34 (1979) 195-338.
-
(1979)
Adv. in Math.
, vol.34
, pp. 195-338
-
-
Kostant, B.1
-
29
-
-
84968480720
-
Canonical semi-invariants and the Plancherel formula for parabolic groups
-
R.L. Lipsman, J.A. Wolf, Canonical semi-invariants and the Plancherel formula for parabolic groups, Trans. AMS 269 (1982) 111-131.
-
(1982)
Trans. AMS
, vol.269
, pp. 111-131
-
-
Lipsman, R.L.1
Wolf, J.A.2
-
30
-
-
0000641586
-
Finitely many mass points on the line under the influence of an exponential potential
-
J. Moser, Finitely many mass points on the line under the influence of an exponential potential, Batelles Recontres, Springer Notes in Physics, 1974, pp. 417-497.
-
(1974)
Batelles Recontres, Springer Notes in Physics
, pp. 417-497
-
-
Moser, J.1
-
31
-
-
0000234399
-
Action-angle variables and their generalizations
-
N.N. Nehoroshev, Action-angle variables and their generalizations, Trans. Moscow Math. Soc. 26 (1972) 180-197.
-
(1972)
Trans. Moscow Math. Soc.
, vol.26
, pp. 180-197
-
-
Nehoroshev, N.N.1
-
33
-
-
0010102569
-
Involution theorems
-
T.S. Ratiu, Involution Theorems, Springer Lecture Notes, vol. 775, 1980, pp. 219-257.
-
(1980)
Springer Lecture Notes
, vol.775
, pp. 219-257
-
-
Ratiu, T.S.1
-
34
-
-
0003270559
-
Group-theoretical methods in the theory of finite-dimensional integrable systems
-
Springer, Berlin
-
A.G. Reyman, M.A. Semenov-Tian-Shansky, Group-theoretical methods in the theory of finite-dimensional integrable systems, Dynamical Systems VII, Encyclopedia of Mathematical Sciences, Springer, Berlin, 1994.
-
(1994)
Dynamical Systems VII, Encyclopedia of Mathematical Sciences
-
-
Reyman, A.G.1
Semenov-Tian-Shansky, M.A.2
-
35
-
-
84978228084
-
Hamiltonian group actions and integrable systems
-
W.W. Symes, Hamiltonian group actions and integrable systems, Physica D 1 (1980) 339-376.
-
(1980)
Physica D
, vol.1
, pp. 339-376
-
-
Symes, W.W.1
-
36
-
-
11744334220
-
Studies of a non-linear lattice
-
M. Toda, Studies of a non-linear lattice, Phys. Rep. Phys. Lett. 8 (1975) 1-125.
-
(1975)
Phys. Rep. Phys. Lett.
, vol.8
, pp. 1-125
-
-
Toda, M.1
-
37
-
-
0001600603
-
The topology of isospectral manifolds of diagonal matrices
-
C. Tomei, The topology of isospectral manifolds of diagonal matrices, Duke Math. J. 51 (1984) 981-996.
-
(1984)
Duke Math. J.
, vol.51
, pp. 981-996
-
-
Tomei, C.1
-
38
-
-
0002449448
-
The spectrum of Jacobi matrices
-
P. van Moerbeke, The spectrum of Jacobi matrices, Inventiones Math. 37 (1976) 45-81.
-
(1976)
Inventiones Math.
, vol.37
, pp. 45-81
-
-
Van Moerbeke, P.1
-
39
-
-
0030539817
-
The Euler-Poincaré equations and double bracketed equations
-
A. Bloch, J. Marsden, P. Krishnaprasad, The Euler-Poincaré equations and double bracketed equations, Comm. Math. Phys. 175 (1996) 1-42.
-
(1996)
Comm. Math. Phys.
, vol.175
, pp. 1-42
-
-
Bloch, A.1
Marsden, J.2
Krishnaprasad, P.3
|