-
1
-
-
1842539718
-
Chaos-assisted capture of irregular moons
-
DOI 10.1038/nature01622
-
S. A. Astakhov, A. D. Burbanks, S.Wiggins, and D. Farrelly. Chaos-assisted capture of irregular moons. Nature, 423:264-267, 2003. (Pubitemid 40852692)
-
(2003)
Nature
, vol.423
, Issue.6937
, pp. 264-267
-
-
Astakhov, S.A.1
Burbanks, A.D.2
Wiggins, S.3
Farrelly, D.4
-
2
-
-
0003029052
-
Dynamical systems III
-
Springer, Berlin
-
V. I. Arnold, V. V. Kozlov, and A. I. Neishtadt. Dynamical systems III, volume 3 of Encyclopaedia Math. Sci. Springer, Berlin, 1988.
-
(1988)
Encyclopaedia Math. Sci.
, vol.3
-
-
Arnold, V.I.1
Kozlov, V.V.2
Neishtadt, A.I.3
-
4
-
-
0000877933
-
Instability of dynamical systems with several degrees of freedom
-
V. I. Arnold. Instability of dynamical systems with several degrees of freedom. Soviet Math. Dokl., 5:581-585, 1964.
-
(1964)
Soviet Math. Dokl.
, vol.5
, pp. 581-585
-
-
Arnold, V.I.1
-
7
-
-
0142137606
-
Normal-internal resonances in quasi-periodically forced oscillators: A conservative approach
-
DOI 10.1088/0951-7715/16/5/312, PII S0951771503577908
-
H. W. Broer, H. Hanßmann, À . Jorba, J. Villanueva, and F. O. O. Wagener. Normalinternal resonances in quasiperiodically forced oscillators: A conservative approach. Nonlinearity, 16:1751-1791, 2003. (Pubitemid 37316462)
-
(2003)
Nonlinearity
, vol.16
, Issue.5
, pp. 1751-1791
-
-
Broer, H.1
Hanssmann, H.2
Jorba, A.3
Villanueva, J.4
Wagener, F.5
-
8
-
-
0031287692
-
On Melnikov's persistency problem
-
J. Bourgain. On Melnikov's persistency problem. Math. Res. Lett., 4(4):445-458, 1997.
-
(1997)
Math. Res. Lett.
, vol.4
, Issue.4
, pp. 445-458
-
-
Bourgain, J.1
-
9
-
-
34249917727
-
On the stability of the Lagrangian points in the spatial Restricted Three Body Problem
-
A. Celletti and A. Giorgilli. On the stability of the Lagrangian points in the spatial Restricted Three Body Problem. Celest. Mech. Dynam. Astr., 50(1):31-58, 1991.
-
(1991)
Celest. Mech. Dynam. Astr.
, vol.50
, Issue.1
, pp. 31-58
-
-
Celletti, A.1
Giorgilli, A.2
-
10
-
-
0040845842
-
On the vertical families of two-dimensional tori near the triangular points of the bicircular problem
-
E. Castellà and À . Jorba. On the vertical families of two-dimensional tori near the triangular points of the bicircular problem. Celest. Mech. Dynam. Astr., 76(1):35-54, 2000.
-
(2000)
Celest. Mech. Dynam. Astr.
, vol.76
, Issue.1
, pp. 35-54
-
-
Castellà, E.1
Jorba, À.2
-
11
-
-
21144448603
-
Transport in dynamical astronomy and multibody problems. to appear
-
M. Dellnitz, O. Junge, W. S. Koon, F. Lekien, M. W. Lo, J. E. Marsden, K. Padberg, R. Preis, S. D. Ross, and B. Thiere. Transport in dynamical astronomy and multibody problems. To appear in Int. J. Bifurcation & Chaos, 2004.
-
(2004)
Int. J. Bifurcation & Chaos
-
-
Dellnitz, M.1
Junge, O.2
Koon, W.S.3
Lekien, F.4
Lo, M.W.5
Marsden, J.E.6
Padberg, K.7
Preis, R.8
Ross, S.D.9
Thiere, B.10
-
12
-
-
0000233666
-
Computation of Invariant Tori by the Method of Characteristics
-
L. Dieci and J. Lorenz. Computation of invariant tori by the method of characteristics. SIAM J. Numer. Anal., 32(5):1436-1474, 1995.
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, Issue.5
, pp. 1436-1474
-
-
Dieci, L.1
Lorenz, J.2
-
13
-
-
0000412297
-
Perturbations of stable invariant tori for Hamiltonian systems
-
L. H. Eliasson. Perturbations of stable invariant tori for Hamiltonian systems. Ann. Sc. Norm. Super. Pisa, Cl. Sci., 15(1):115-147, 1988.
-
(1988)
Ann. Sc. Norm. Super. Pisa Cl. Sci.
, vol.15
, Issue.1
, pp. 115-147
-
-
Eliasson, L.H.1
-
14
-
-
0034159351
-
Computation of invariant tori by orthogonal collocation
-
DOI 10.1016/S0168-9274(99)00029-X
-
K. D. Edoh, R. D. Russell, and W. Sun. Computation of invariant tori by orthogonal collocation. Appl. Numer. Math., 32(3):273-289, 2000. (Pubitemid 30563599)
-
(2000)
Applied Numerical Mathematics
, vol.32
, Issue.3
, pp. 273-289
-
-
Edoh, K.D.1
Russell, R.D.2
Sun, W.3
-
16
-
-
0000163515
-
Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
-
A. Giorgilli, A. Delshams, E. Fontich, L. Galgani, and C. Sim'o. Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem. J. Diff. Eq., 77:167-198, 1989.
-
(1989)
J. Diff. Eq.
, vol.77
, pp. 167-198
-
-
Giorgilli, A.1
Delshams, A.2
Fontich, E.3
Galgani, L.4
Sim, O.C.5
-
17
-
-
0000330285
-
Formal integrals for an autonomous Hamiltonian system near an equilibrium point
-
A. Giorgilli and L. Galgani. Formal integrals for an autonomous Hamiltonian system near an equilibrium point. Celest. Mech. Dynam. Astr., 17:267-280, 1978.
-
(1978)
Celest. Mech. Dynam. Astr.
, vol.17
, pp. 267-280
-
-
Giorgilli, A.1
Galgani, L.2
-
18
-
-
0009825666
-
A restricted four-body model for the dynamics near the lagrangian points of the sun-jupiter system
-
F. Gabern and À . Jorba. A restricted four-body model for the dynamics near the Lagrangian points of the Sun-Jupiter system. Discrete Contin. Dynam. Syst.-Series B, 1(2):143-182, 2001. (Pubitemid 33771902)
-
(2001)
Discrete and Continuous Dynamical Systems - Series B
, vol.1
, Issue.2
, pp. 143-182
-
-
Gabern, F.1
Jorba, A.2
-
19
-
-
2942608210
-
Generalizing the Restricted Three-Body Problem: The Bianular and Tricircular Coherent Problems
-
F. Gabern and À . Jorba. Generalizing the Restricted Three-Body Problem: The Bianular and Tricircular coherent problems. Astron. Astrophys., 420:751-762, 2004.
-
(2004)
Astron. Astrophys.
, vol.420
, pp. 751-762
-
-
Gabern, F.1
Jorba, À.2
-
20
-
-
84867984477
-
Dynamics and mission design near libration points. Vol. III volume 4 of World Scientific Monograph Series in Mathematics
-
River Edge, NJ Advanced methods for collinear points
-
G. Gómez, À . Jorba, J. Masdemont, and C. Simó. Dynamics and mission design near libration points. Vol. III, volume 4 of World Scientific Monograph Series in Mathematics. World Scientific Publishing Co. Inc., River Edge, NJ, 2001. Advanced methods for collinear points.
-
(2001)
World Scientific Publishing Co. Inc.
-
-
Gómez, G.1
Jorba, À.2
Masdemont, J.3
Simó, C.4
-
21
-
-
84867986082
-
Dynamics and mission design near libration points. Vol. IV, volume 5 of World Scientific Monograph Series in Mathematics
-
River Edge, NJ Advanced methods for triangular points
-
G. Gómez, À . Jorba, J. Masdemont, and C. Simó. Dynamics and mission design near libration points. Vol. IV, volume 5 of World Scientific Monograph Series in Mathematics. World Scientific Publishing Co. Inc., River Edge, NJ, 2001. Advanced methods for triangular points.
-
(2001)
World Scientific Publishing Co. Inc.
-
-
Gómez, G.1
Jorba, À.2
Masdemont, J.3
Simó, C.4
-
22
-
-
4644244046
-
Connecting orbits and invariant manifolds in the spatial restricted three-body problem
-
DOI 10.1088/0951-7715/17/5/002, PII S0951771504677942
-
G. Gomez, W. S. Koon, M. W. Lo, J. E. Marsden, J. Masdemont, and S. D. Ross. Connecting orbits and invariant manifolds in the spatial three-body problem. Nonlinearity, 17(5):1571-1606, 2004. (Pubitemid 39289011)
-
(2004)
Nonlinearity
, vol.17
, Issue.5
, pp. 1571-1606
-
-
Gomez, G.1
Koon, W.S.2
Lo, M.W.3
Marsden, J.E.4
Masdemont, J.5
Ross, S.D.6
-
25
-
-
0000744245
-
Onthe stability of the Trojan asteroids
-
A. Giorgilli and C. Skokos. Onthe stability of the Trojan asteroids. Astron. Astrophys., 317:254-261, 1997.
-
(1997)
Astron. Astrophys.
, vol.317
, pp. 254-261
-
-
Giorgilli, A.1
Skokos, C.2
-
26
-
-
0000379181
-
Dynamics in the center manifold of the collinear points of the restricted three body problem
-
PII S0167278999000421
-
À . Jorba and J. Masdemont. Dynamics in the centre manifold of the collinear points of the Restricted Three Body Problem. Physica D, 132:189-213, 1999. (Pubitemid 129524977)
-
(1999)
Physica D: Nonlinear Phenomena
, vol.132
, Issue.1-2
, pp. 189-213
-
-
Jorba, A.1
Masdemont, J.2
-
27
-
-
0033243813
-
A methodology for the numerical computation of normal forms centre manifolds and first integrals of Hamiltonian systems
-
À . Jorba. A methodology for the numerical computation of normal forms, centre manifolds and first integrals of Hamiltonian systems. Exp. Math., 8(2):155-195, 1999.
-
(1999)
Exp. Math.
, vol.8
, Issue.2
, pp. 155-195
-
-
Jorba, À.1
-
28
-
-
84867995622
-
On practical stability regions for the motion of a small particle close to the equilateral points of the real Earth-Moon system
-
P'atzcuaro (M'exico) December 7-11 World Scientific 2000
-
À . Jorba. On practical stability regions for the motion of a small particle close to the equilateral points of the real Earth-Moon system. In Proceedings of the III International Symposium HAMSYS-98. Geometrical Methods in Hamiltonian Systems and Celestial Mechanics. P'atzcuaro (M'exico), December 7-11, 1998. World Scientific, 2000.
-
(1998)
Proceedings of the III International Symposium HAMSYS-98. Geometrical Methods in Hamiltonian Systems and Celestial Mechanics
-
-
Jorba, À.1
-
29
-
-
0040483472
-
Numerical computation of the normal behaviour of invariant curves of n-dimensional maps
-
À . Jorba. Numerical computation of the normal behaviour of invariant curves of n-dimensional maps. Nonlinearity, 14(5):943-976, 2001.
-
(2001)
Nonlinearity
, vol.14
, Issue.5
, pp. 943-976
-
-
Jorba, À.1
-
30
-
-
0030520995
-
On Quasiperiodic Perturbations Of Elliptic Equilibrium Points
-
À . Jorba and C. Simó. On quasiperiodic perturbations of elliptic equilibrium points. SIAM J. Math. Anal., 27(6):1704-1737, 1996.
-
(1996)
SIA J. Math. Anal.
, vol.27
, Issue.6
, pp. 1704-1737
-
-
Jorba, À.1
Simó, C.2
-
31
-
-
0040507795
-
On the normal behaviour of partially elliptic lower-dimensional tori of Hamiltonian systems
-
PII S0951771597790352
-
À . Jorba and J. Villanueva. On the normal behaviour of partially elliptic lower dimensional tori of Hamiltonian systems. Nonlinearity, 10:783-822, 1997. (Pubitemid 127431800)
-
(1997)
Nonlinearity
, vol.10
, Issue.4
, pp. 783-822
-
-
Jorba, A.1
Villanueva, J.2
-
32
-
-
0000500437
-
On the Persistence of Lower Dimensional Invariant Tori under Quasi-Periodic Perturbations
-
À . Jorba and J. Villanueva. On the persistence of lower dimensional invariant tori under quasi-periodic perturbations. J. Nonlinear Sci., 7:427-473, 1997. (Pubitemid 127461806)
-
(1997)
Journal of Nonlinear Science
, vol.7
, Issue.5
, pp. 427-473
-
-
Jorba, A.1
Villanueva, J.2
-
33
-
-
0001686403
-
Numerical computation of normal forms around some periodic orbits of the restricted three-body problem
-
PII S0167278997001942
-
À . Jorba and J. Villanueva. Numerical computation of normal forms around some periodic orbits of the Restricted Three Body Problem. PhysicaD, 114:197-229, 1998. (Pubitemid 128676535)
-
(1998)
Physica D: Nonlinear Phenomena
, vol.114
, Issue.3-4
, pp. 197-229
-
-
Jorba, A.1
Villanueva, J.2
-
34
-
-
84867981655
-
The fine geometry of the Cantor families of invariant tori in Hamiltonian systems.European Congress of Mathematics II Barcelona (2000)
-
ages 557-564 Birkḧauser Basel
-
À . Jorba and J. Villanueva. The fine geometry of the Cantor families of invariant tori in Hamiltonian systems. In European Congress of Mathematics, Vol. II (Barcelona, 2000), volume 202 of Progr. Math., pages 557-564. Birkḧauser, Basel, 2001.
-
(2001)
Progr. Math.
, vol.202
-
-
Jorba, À.1
Villanueva, J.2
-
35
-
-
0034195465
-
Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics
-
W. S. Koon, M. W. Lo, J. E. Marsden, and S. D. Ross. Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics. Chaos, 10(2):427-469, 2000.
-
(2000)
Chaos
, vol.10
, Issue.2
, pp. 427-469
-
-
Koon, W.S.1
Lo, M.W.2
Marsden, J.E.3
Ross, S.D.4
-
37
-
-
34249759431
-
Superexponential stability of KAM tori
-
A. Morbidelli and A. Giorgilli. Superexponential stability of KAM tori. J. Stat. Phys., 78(5-6):1607-1617, 1995.
-
(1995)
J. Stat. Phys.
, vol.78
, Issue.5-6
, pp. 1607-1617
-
-
Morbidelli, A.1
Giorgilli, A.2
-
39
-
-
2442622471
-
Exponential stability for small perturbations of steep integrable Hamiltonian systems
-
DOI 10.1017/S014338570300049X
-
L. Niederman. Exponential stability for small perturbations of steep integrable Hamiltonian syst. Ergod. Theory Dyn. Syst., 24(2):593-608, 2004. (Pubitemid 38628851)
-
(2004)
Ergodic Theory and Dynamical Systems
, vol.24
, Issue.2
, pp. 593-608
-
-
Niederman, L.1
-
40
-
-
0000677073
-
KAM tori are very sticky: Rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow
-
A. D. Perry and S. Wiggins. KAM tori are very sticky: Rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow. Physica D, 71:102-121, 1994.
-
(1994)
Physica D
, vol.71
, pp. 102-121
-
-
Perry, A.D.1
Wiggins, S.2
-
41
-
-
0035242691
-
Effective stability of the Trojan asteroids
-
C. Skokos and A. Dokoumetzidis. Effective stability of the Trojan asteroids. Astron. Astrophys., 367:729-736, 2000. (Pubitemid 32960562)
-
(2001)
Astronomy and Astrophysics
, vol.367
, Issue.2
, pp. 729-736
-
-
Skokos, C.1
Dokoumetzidis, A.2
-
42
-
-
0041739490
-
Excitation of elliptic normal modes of invariant tori in Hamiltonian systems
-
A. G. Khovanskii, A. N. Varchenko, and V. A. Vassiliev, editors Topics in Singularity Theory: V. I. Arnold's 60th Anniversary Collection American Mathematical Society Providence Rhode Island
-
M. B. Sevryuk. Excitation of elliptic normal modes of invariant tori in Hamiltonian systems. In A. G. Khovanskii, A. N. Varchenko, and V. A. Vassiliev, editors, Topics in Singularity Theory: V. I. Arnold's 60th Anniversary Collection, volume 180 of American Mathematical Society Translations-Series 2, Advances in the Mathematical Sciences, pages 209-218. American Mathematical Society, Providence, Rhode Island, 1997.
-
(1997)
American Mathematical Society Translations-Series 2, Advances in the Mathematical Sciences
, vol.180
, pp. 209-218
-
-
Sevryuk, M.B.1
-
43
-
-
0042740977
-
Invariant tori of intermediate dimensions in Hamiltonian systems
-
M. B. Sevryuk. Invariant tori of intermediate dimensions in Hamiltonian systems. Regul. Chaotic Dyn., 3(1):39-48, 1998.
-
(1998)
Regul. Chaotic Dyn.
, vol.3
, Issue.1
, pp. 39-48
-
-
Sevryuk, M.B.1
-
44
-
-
0000879938
-
-
In A. E. Roy and B. A. Steves, editors, From Newton to Chaos Plenum Press, New York
-
C. Simó, G. Gómez, À . Jorba, and J. Masdemont. The bicircular model near the triangular libration points of the RTBP. In A. E. Roy and B. A. Steves, editors, From Newton to Chaos, pages 343-370, Plenum Press, New York, 1995.
-
(1995)
The Bicircular Model Near the Triangular Libration Points of the RTBP.
, pp. 343-370
-
-
Simó, C.1
Gómez, G.2
Jorba, À.3
Masdemont, J.4
-
45
-
-
0003369366
-
Estabilitat de sistemes Hamiltonians
-
C. Sim'o. Estabilitat de sistemes Hamiltonians. Mem. Real Acad. Cienc. Artes Barcelona, 48(7):303-348, 1989.
-
(1989)
Mem. Real Acad. Cienc. Artes Barcelona
, vol.48
, Issue.7
, pp. 303-348
-
-
Sim, O.C.1
-
49
-
-
0011649458
-
The geometry of reaction dynamics
-
DOI 10.1088/0951-7715/15/4/301, PII S0951771502275751
-
T. Uzer, C. Jaff'e, J. Palacían, P. Yanguas, and S. Wiggins. The geometry of reaction dynamics. Nonlinearity, 15(4):957-992, 2002. (Pubitemid 37026639)
-
(2002)
Nonlinearity
, vol.15
, Issue.4
, pp. 957-992
-
-
Uzer, T.1
Jaffe, C.2
Palacian, J.3
Yanguas, P.4
Wiggins, S.5
-
50
-
-
7044274233
-
Phase space conduits for reaction in multi-dimensional systems: HCN isomerization in three dimensions
-
H. Waalkens, A. Burbanks, and S. Wiggins. Phase space conduits for reaction in multi-dimensional systems: HCN isomerization in three dimensions. J. Chem. Phys., 121:6207-6225, 2004.
-
(2004)
J. Chem. Phys.
, vol.121
, pp. 6207-6225
-
-
Waalkens, H.1
Burbanks, A.2
Wiggins, S.3
-
51
-
-
3042535414
-
A computational procedure to detect a new type of high-dimensional chaotic saddle and its application to the 3D Hill's problem
-
H.Waalkens, A. D. Burbanks, and S.Wiggins. A computational procedure to detect a new type of high-dimensional chaotic saddle and its application to the 3D Hill's problem. J. Phys. A: Math. Gen., 37:L257-L265, 2004.
-
(2004)
J. Phys. A: Math. Gen.
, vol.37
-
-
Waalkens, H.1
Burbanks, A.D.2
Wiggins, S.3
-
52
-
-
0003238449
-
Normally hyperbolic invariant manifolds in dynamical systems
-
Springer-Verlag, New With the assistance of Gÿorgy Haller and Igor Mezíc
-
S.Wiggins. Normally hyperbolic invariant manifolds in dynamical systems, volume 105 of Applied Mathematical Sciences. Springer-Verlag, New York, 1994. With the assistance of Gÿorgy Haller and Igor Mezíc.
-
(1994)
Applied Mathematical Sciences
, vol.105
-
-
Wiggins, S.1
|