-
1
-
-
0002356196
-
Small denominators and the problem of stability of motion in classical and celestial mechanics
-
V. Arnold, Small denominators and the problem of stability of motion in classical and celestial mechanics, Russ. Math. Surveys, 18 (1963), 85-191.
-
(1963)
Russ. Math. Surveys
, vol.18
, pp. 85-191
-
-
Arnold, V.1
-
2
-
-
0001195103
-
Sur une propriété topologique des applications globalment canoniques de la méchanique classique
-
V. Arnold, Sur une propriété topologique des applications globalment canoniques de la méchanique classique, C.R. Acad. Sci. Paris Série I Math., 261 (1965), 3719-3722.
-
(1965)
C.R. Acad. Sci. Paris Série I Math.
, vol.261
, pp. 3719-3722
-
-
Arnold, V.1
-
4
-
-
0002108290
-
Non-integrability of two problems in vortex dynamics
-
A. Bagrets and D. Bagrets, Non-integrability of two problems in vortex dynamics, Chaos, 7 (1997), 368-375.
-
(1997)
Chaos
, vol.7
, pp. 368-375
-
-
Bagrets, A.1
Bagrets, D.2
-
5
-
-
15844364698
-
A remark on a conjecture of Arnold: Linked spheres and fixed points
-
in Hamiltonian Systems and Celestial Mechanics (eds. E. Lacomba and J. Libre), World Scientific
-
A. Banyaga and C. Golé, A remark on a conjecture of Arnold: linked spheres and fixed points, in Hamiltonian Systems and Celestial Mechanics (eds. E. Lacomba and J. Libre), Advanced Series in Nonlinear Dynamics, Vol. 4, World Scientific, 1993.
-
(1993)
Advanced Series in Nonlinear Dynamics
, vol.4
-
-
Banyaga, A.1
Golé, C.2
-
6
-
-
34250101375
-
Birkhoff periodic orbits for small perturbations on completely integrable Hamiltonian systems with convex Hamiltonians
-
D. Bernstein and A. Katok, Birkhoff periodic orbits for small perturbations on completely integrable Hamiltonian systems with convex Hamiltonians, Invent. Math., 88 (1987), 225-241.
-
(1987)
Invent. Math.
, vol.88
, pp. 225-241
-
-
Bernstein, D.1
Katok, A.2
-
7
-
-
84893894738
-
On the curvature and torsion of an isolated vortex filament
-
R. Betchov, On the curvature and torsion of an isolated vortex filament, J. Fluid Mech., 22 (1965), 471-479.
-
(1965)
J. Fluid Mech.
, vol.22
, pp. 471-479
-
-
Betchov, R.1
-
8
-
-
0000706231
-
Hamiltonian systems, Lagrangian tori and Birkhoff's theorem
-
M. Bialy and L. Polterovitch, Hamiltonian systems, Lagrangian tori and Birkhoff's theorem, Math. Ann., 292 (1992), 619-627.
-
(1992)
Math. Ann.
, vol.292
, pp. 619-627
-
-
Bialy, M.1
Polterovitch, L.2
-
9
-
-
51249195279
-
An extension of Poincaré's last geometric theorem
-
G. Birkhoff, An extension of Poincaré's last geometric theorem, Acta Math., 47 (1925), 210-231.
-
(1925)
Acta Math.
, vol.47
, pp. 210-231
-
-
Birkhoff, G.1
-
10
-
-
0012174042
-
KAM theory analysis of the dynamics of three coaxial vortex rings
-
D. Blackmore and O. Knio, KAM theory analysis of the dynamics of three coaxial vortex rings, Physica D, 140 (2000), 321-348.
-
(2000)
Physica D
, vol.140
, pp. 321-348
-
-
Blackmore, D.1
Knio, O.2
-
11
-
-
23044521286
-
Transition from quasiperiodicity to chaos for three coaxial vortex rings
-
D. Blackmore and O. Knio, Transition from quasiperiodicity to chaos for three coaxial vortex rings, ZAMM, 80 S (2000), 173-176.
-
(2000)
ZAMM
, vol.80 S
, pp. 173-176
-
-
Blackmore, D.1
Knio, O.2
-
12
-
-
85000281322
-
The motion of a system of vortex rings in an incompressible fluid
-
M. Brutyan and P. Krapivskii, The motion of a system of vortex rings in an incompressible fluid, Prikl. Mekh., 48 (1984), 503-509.
-
(1984)
Prikl. Mekh.
, vol.48
, pp. 503-509
-
-
Brutyan, M.1
Krapivskii, P.2
-
13
-
-
84968500697
-
An improvement of the Poincaré-Birkhoff fixed point theorem
-
A. Carter, An improvement of the Poincaré-Birkhoff fixed point theorem, Trans. AMS, 269 (1982), 285-299.
-
(1982)
Trans. AMS
, vol.269
, pp. 285-299
-
-
Carter, A.1
-
14
-
-
0042762747
-
Renormalization for cubic frequency invariant tori in Hamiltonian systems with two degrees of freedom
-
C. Chandra, Renormalization for cubic frequency invariant tori in Hamiltonian systems with two degrees of freedom, Discrete and Continuous Dynamical Systems-B, 2 (2002), 457-465.
-
(2002)
Discrete and Continuous Dynamical Systems-B
, vol.2
, pp. 457-465
-
-
Chandra, C.1
-
15
-
-
0002741292
-
The Birkhoff-Lewis fixed point theorem and a conjecture of V. I. Arnold
-
C. Conley and E. Zehnder, The Birkhoff-Lewis fixed point theorem and a conjecture of V. I. Arnold, Invent. Math., 73 (1983), 207-253.
-
(1983)
Invent. Math.
, vol.73
, pp. 207-253
-
-
Conley, C.1
Zehnder, E.2
-
16
-
-
84990569659
-
Morse type index theory for Hamiltonian equations
-
C. Conley and E. Zehnder, Morse type index theory for Hamiltonian equations, Comm. Pure and Appl. Math., 37 (1984), 207-253.
-
(1984)
Comm. Pure and Appl. Math.
, vol.37
, pp. 207-253
-
-
Conley, C.1
Zehnder, E.2
-
17
-
-
84966216880
-
A generalization of the Poincaré-Birkhoff theorem
-
W.Y. Ding, A generalization of the Poincaré-Birkhoff theorem, Proc. Amer. Math. Soc., 88 (1983), 341-346.
-
(1983)
Proc. Amer. Math. Soc.
, vol.88
, pp. 341-346
-
-
Ding, W.Y.1
-
18
-
-
0001157732
-
The potential of an anchor ring. Pt. 2
-
F. Dyson, The potential of an anchor ring. Pt. 2, Philos. Trans. R. Soc. London Ser. A, 184 (1893), 1041-1106.
-
(1893)
Philos. Trans. R. Soc. London Ser. A
, vol.184
, pp. 1041-1106
-
-
Dyson, F.1
-
19
-
-
0000781004
-
Symplectic fixed points and holomorphic spheres
-
A. Floer, Symplectic fixed points and holomorphic spheres, Comm. Math. Phys., 120 (1989), 575-611.
-
(1989)
Comm. Math. Phys.
, vol.120
, pp. 575-611
-
-
Floer, A.1
-
20
-
-
0000954685
-
Generalizations of the Poincaré-Birkhoff theorem
-
J. Franks, Generalizations of the Poincaré-Birkhoff theorem, Annals of Math., 128 (1988), 139-151.
-
(1988)
Annals of Math.
, vol.128
, pp. 139-151
-
-
Franks, J.1
-
21
-
-
0009825666
-
A restricted four-body model for dynamics near the Lagrangian point of the Sun-Jupiter system
-
F. Gabern and A. Jorba, A restricted four-body model for dynamics near the Lagrangian point of the Sun-Jupiter system, Discrete and Continuous Dynamical Systems-B, 1 (2001), 143-182.
-
(2001)
Discrete and Continuous Dynamical Systems-B
, vol.1
, pp. 143-182
-
-
Gabern, F.1
Jorba, A.2
-
24
-
-
0040389387
-
The interaction of coaxial vortex rings in an ideal fluid
-
A. Gurzhii, M. Konstantinov and V. Meleshko, The interaction of coaxial vortex rings in an ideal fluid, Izv. ANSSR Mekh. Zhk. Gaza, 2 (1988), 78-84.
-
(1988)
Izv. ANSSR Mekh. Zhk. Gaza
, vol.2
, pp. 78-84
-
-
Gurzhii, A.1
Konstantinov, M.2
Meleshko, V.3
-
25
-
-
84943471869
-
Über integrale hydrodynamischen gleichungen weiche den wirbelbewegungen entsprechen
-
H. Helmholtz, Über integrale hydrodynamischen gleichungen weiche den wirbelbewegungen entsprechen, J. Reine Angew. Math., 55 (1858), 25-225.
-
(1858)
J. Reine Angew. Math.
, vol.55
, pp. 25-225
-
-
Helmholtz, H.1
-
26
-
-
0008214750
-
Researches on the theory of vortex rings
-
W. Hicks, Researches on the theory of vortex rings, Philos. Trans. R. Soc. London, 176 (1885), 725-780.
-
(1885)
Philos. Trans. R. Soc. London
, vol.176
, pp. 725-780
-
-
Hicks, W.1
-
28
-
-
0040434214
-
Minimal orbits for small perturbations of completely integrable Hamiltonian systems
-
Springer-Verlag, New York
-
A. Katok, Minimal orbits for small perturbations of completely integrable Hamiltonian systems, in Twist Mappings and Their Applications, IMA Vol. 44, Springer-Verlag, New York, 1992.
-
(1992)
Twist Mappings and Their Applications, IMA
, vol.44
-
-
Katok, A.1
-
29
-
-
0001441814
-
General theory of dynamical systems and classical mechanics
-
North Holland, Amsterdam. (in Russian: see R. Abraham and J. Marsden, "Foundations of Mechanics", Addison-Wesley, Redwood City, 1985, for English translation)
-
A. Kolmogorov, General theory of dynamical systems and classical mechanics, in Proc. of the 1954 International Congress of Mathematicians, North Holland, Amsterdam, 1954, pp. 315-333. (in Russian: see R. Abraham and J. Marsden, "Foundations of Mechanics", Addison-Wesley, Redwood City, 1985, for English translation)
-
(1954)
Proc. of the 1954 International Congress of Mathematicians
, pp. 315-333
-
-
Kolmogorov, A.1
-
31
-
-
15844380870
-
Existence of KAM tori in the phase-space of lattice vortex systems
-
C. Lim, Existence of KAM tori in the phase-space of lattice vortex systems, ZAMP, 41 (1990), 227-244.
-
(1990)
ZAMP
, vol.41
, pp. 227-244
-
-
Lim, C.1
-
32
-
-
0032381533
-
Relative equilibria of symmetric n-body problems on a sphere: Inverse and direct results
-
C. Lim, Relative equilibria of symmetric n-body problems on a sphere: inverse and direct results, Comm. Pure Appl. Math., 51 (1998), 341-371.
-
(1998)
Comm. Pure Appl. Math.
, vol.51
, pp. 341-371
-
-
Lim, C.1
-
33
-
-
0035156343
-
Relative equilibria of point vortices on the sphere
-
C. Lim, J. Montaldi and M. Roberts, Relative equilibria of point vortices on the sphere, Physica D, 148 (2001), 97-135.
-
(2001)
Physica D
, vol.148
, pp. 97-135
-
-
Lim, C.1
Montaldi, J.2
Roberts, M.3
-
34
-
-
0040028771
-
Point vortex dynamics for coupled surface-interior quasi-geostrophic flows I: Elementary solutions and propagating clusters
-
C. Lim and A. Majda, Point vortex dynamics for coupled surface-interior quasi-geostrophic flows I: elementary solutions and propagating clusters, Geophys. and Astrophys. Fluid Dyn., 94 (2001), 177-220.
-
(2001)
Geophys. and Astrophys. Fluid Dyn.
, vol.94
, pp. 177-220
-
-
Lim, C.1
Majda, A.2
-
36
-
-
0040389383
-
Ordered motion and chaotic motion in the dynamics of three coaxial vortex rings
-
V. Meleshko, M. Konstantinov and A. Gurzhii, Ordered motion and chaotic motion in the dynamics of three coaxial vortex rings, Teor. Prikl. Mekh., 21 (1990), 100-104.
-
(1990)
Teor. Prikl. Mekh.
, vol.21
, pp. 100-104
-
-
Meleshko, V.1
Konstantinov, M.2
Gurzhii, A.3
-
37
-
-
0010020221
-
Dynamics of vortex structures
-
Kiev, (in Russian)
-
V. Meleshko and M. Konstantinov, Dynamics of Vortex Structures, Nauk. Dumka, Kiev, 1993 (in Russian).
-
(1993)
Nauk. Dumka
-
-
Meleshko, V.1
Konstantinov, M.2
-
39
-
-
0013167493
-
Proof of a generalized form of a fixed point theorem due to G. D. Birkhoff
-
"Geometry and Topology", Springer-Verlag, New York
-
J. Moser, Proof of a generalized form of a fixed point theorem due to G. D. Birkhoff, in Lecture Notes in Math., Vol. 597, "Geometry and Topology", Springer-Verlag, New York, 1977.
-
(1977)
Lecture Notes in Math.
, vol.597
-
-
Moser, J.1
-
40
-
-
0001980268
-
Hamiltonian description of axisymmetric vortex flows and the system of vortex rings
-
E. Novikov, Hamiltonian description of axisymmetric vortex flows and the system of vortex rings, Phys. Fluids, 28 (1985), 2921-2922.
-
(1985)
Phys. Fluids
, vol.28
, pp. 2921-2922
-
-
Novikov, E.1
-
42
-
-
33746770798
-
Sul moto d'un liquido indefinito con un filetto vorticoso di forma qualunque
-
L. da Rios, Sul moto d'un liquido indefinito con un filetto vorticoso di forma qualunque, Rend, del Circ. Matematico, 22 (1906), 117-135.
-
(1906)
Rend, Del Circ. Matematico
, vol.22
, pp. 117-135
-
-
Da Rios, L.1
-
43
-
-
0000631525
-
Generic properties of conservative systems, I; II
-
C. Robinson, Generic properties of conservative systems, I; II, Amer. J. Math., 92 (1970), 562-603; 897-906.
-
(1970)
Amer. J. Math.
, vol.92
, pp. 562-603
-
-
Robinson, C.1
-
45
-
-
0003337627
-
Viscous vortical flows
-
Springer-Verlag, Berlin
-
L. Ting and R. Klein, Viscous Vortical Flows, Lecture Notes in Physics, Vol. 374, Springer-Verlag, Berlin, 1991.
-
(1991)
Lecture Notes in Physics
, vol.374
-
-
Ting, L.1
Klein, R.2
-
46
-
-
0013205060
-
Asymptotic theory for slender vortex filaments - Old and new
-
(eds. E. Krause and K. Gersten), Kluwer, Dordrecht
-
L. Ting, R. Klein and O. Knio, Asymptotic theory for slender vortex filaments - old and new, in "IUTAM Symposium on Dynamics of Slender Vortices" (eds. E. Krause and K. Gersten), Kluwer, Dordrecht, 1998, 3-20.
-
(1998)
IUTAM Symposium on Dynamics of Slender Vortices
, pp. 3-20
-
-
Ting, L.1
Klein, R.2
Knio, O.3
|