-
1
-
-
0004282301
-
-
Benjamin/Cummings Publishing, Reading, MA
-
R. ABRAHAM AND J. E. MARSDEN, Foundations of Mechanics, 2nd ed., Benjamin/Cummings Publishing, Reading, MA, 1978.
-
(1978)
Foundations of Mechanics, 2nd Ed.
-
-
Abraham, R.1
Marsden, J.E.2
-
2
-
-
0006044306
-
Dynamical systems III, 2nd ed
-
Springer-Verlag, Berlin
-
V. I. ARNOL'D, Dynamical Systems III, 2nd ed., Encyclopaedia Math. Sci. 3, Springer-Verlag, Berlin, 1993.
-
(1993)
Encyclopaedia Math. Sci.
, vol.3
-
-
Arnol'd, V.I.1
-
3
-
-
0012910628
-
Remarks on the definition of hyperbolic tori of Hamiltonian systems
-
S. V. BOLOTIN AND D. V. TRESCHEV, Remarks on the definition of hyperbolic tori of Hamiltonian systems, Regul. Chaotic Dyn., 5 (2000), pp. 401-412.
-
(2000)
Regul. Chaotic Dyn.
, vol.5
, pp. 401-412
-
-
Bolotin, S.V.1
Treschev, D.V.2
-
4
-
-
0000720838
-
Trajectory classification of simple integrable Hamiltonian systems on three-dimensional surfaces of constant energy
-
in Russian
-
A. V. BOLSINOV AND A. T. FOMENKO, Trajectory classification of simple integrable Hamiltonian systems on three-dimensional surfaces of constant energy, Dokl. Akad. Nauk, 332 (1993), pp. 553-555 (in Russian). English translation in Russian Acad. Sci. Dokl. Math., 48, (1994), pp. 365-369.
-
(1993)
Dokl. Akad. Nauk
, vol.332
, pp. 553-555
-
-
Bolsinov, A.V.1
Fomenko, A.T.2
-
5
-
-
0345882992
-
-
English translation in
-
A. V. BOLSINOV AND A. T. FOMENKO, Trajectory classification of simple integrable Hamiltonian systems on three-dimensional surfaces of constant energy, Dokl. Akad. Nauk, 332 (1993), pp. 553-555 (in Russian). English translation in Russian Acad. Sci. Dokl. Math., 48, (1994), pp. 365-369.
-
(1994)
Russian Acad. Sci. Dokl. Math.
, vol.48
, pp. 365-369
-
-
-
6
-
-
0004233461
-
Quasi-periodic tori in families of dynamical systems: Order amidst chaos
-
Springer-Verlag, New York
-
H. W. BROER, G. B. HUITEMA, AND M. B. SEVRYUK, Quasi-Periodic Tori in Families of Dynamical Systems: Order Amidst Chaos, Lecture Notes in Math. 1645, Springer-Verlag, New York, 1996.
-
(1996)
Lecture Notes in Math.
, vol.1645
-
-
Broer, H.W.1
Huitema, G.B.2
Sevryuk, M.B.3
-
7
-
-
8644220733
-
The momentum mapping of the harmonic oscillator
-
Academic Press, London
-
R. CUSHMAN, The momentum mapping of the harmonic oscillator, in Symposia Mathematica, Vol. 14, Academic Press, London, 1974, pp. 323-342.
-
(1974)
Symposia Mathematica
, vol.14
, pp. 323-342
-
-
Cushman, R.1
-
10
-
-
16244394539
-
A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: Announcement of results
-
A. DELSHAMS, R. DE LA LLAVE, AND T. M. SEARA, A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: Announcement of results, Electron. Res. Announc. Amer. Math. Soc., 9 (2003), pp. 125-134.
-
(2003)
Electron. Res. Announc. Amer. Math. Soc.
, vol.9
, pp. 125-134
-
-
Delshams, A.1
De La Llave, R.2
Seara, T.M.3
-
11
-
-
21844511778
-
Action integrals and energy surfaces of the Kovalevskaya top
-
H. R. DULLIN, M. JUHNKE, AND P. H. RICHTER, Action integrals and energy surfaces of the Kovalevskaya top, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 4 (1994), pp. 1535-1562.
-
(1994)
Internat. J. Bifur. Chaos Appl. Sci. Engrg.
, vol.4
, pp. 1535-1562
-
-
Dullin, H.R.1
Juhnke, M.2
Richter, P.H.3
-
12
-
-
54649083952
-
Action variables of the Kovalevskaya top
-
H. R. DULLIN, P. H. RICHTER, AND A. P. VESELOV, Action variables of the Kovalevskaya top, Regul. Chaotic Dyn., 3 (1998), pp. 18-26.
-
(1998)
Regul. Chaotic Dyn.
, vol.3
, pp. 18-26
-
-
Dullin, H.R.1
Richter, P.H.2
Veselov, A.P.3
-
13
-
-
0000412297
-
Perturbations of stable invariant tori for Hamiltonian systems
-
L. H. ELIASSON, Perturbations of stable invariant tori for Hamiltonian systems, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 15 (1988), pp. 115-147.
-
(1988)
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)
, vol.15
, pp. 115-147
-
-
Eliasson, L.H.1
-
14
-
-
0001356311
-
Persistence and smoothness of invariant manifolds for flows
-
N. FENICHEL, Persistence and smoothness of invariant manifolds for flows, Indiana Univ. Math. J., 21 (1971), pp. 193-225.
-
(1971)
Indiana Univ. Math. J.
, vol.21
, pp. 193-225
-
-
Fenichel, N.1
-
15
-
-
0016070051
-
Asymptotic stability with rate conditions
-
N. FENICHEL, Asymptotic stability with rate conditions, Indiana Univ. Math. J., 23 (1974), pp. 1109-1137.
-
(1974)
Indiana Univ. Math. J.
, vol.23
, pp. 1109-1137
-
-
Fenichel, N.1
-
16
-
-
0001957566
-
Asymptotic stability with rate conditions, II
-
N. FENICHEL, Asymptotic stability with rate conditions, II, Indiana Univ. Math. J., 26 (1977), pp. 81-93.
-
(1977)
Indiana Univ. Math. J.
, vol.26
, pp. 81-93
-
-
Fenichel, N.1
-
17
-
-
0001410014
-
Topological classification of all integrable Hamiltonian differential equations of general type with two degrees of freedom
-
The Geometry of Hamiltonian Systems, Springer-Verlag, New York
-
A. T. FOMENKO, Topological classification of all integrable Hamiltonian differential equations of general type with two degrees of freedom, in The Geometry of Hamiltonian Systems, Math. Sci. Res. Inst. Publ. 22, Springer-Verlag, New York, 1991, pp. 131-339.
-
(1991)
Math. Sci. Res. Inst. Publ.
, vol.22
, pp. 131-339
-
-
Fomenko, A.T.1
-
18
-
-
0000939872
-
Topological classification of integrable systems
-
AMS, Providence, RI
-
A. T. FOMENKO, ED., Topological classification of integrable systems, Advances in Soviet Mathematics 6, AMS, Providence, RI, 1991.
-
(1991)
Advances in Soviet Mathematics
, vol.6
-
-
Fomenko, A.T.1
-
19
-
-
33646665341
-
Symplectic topology of integrable dynamical systems. Rough topological classification of classical cases of integrability in the dynamics of a heavy rigid body
-
A. T. FOMENKO, ED., Symplectic topology of integrable dynamical systems. Rough topological classification of classical cases of integrability in the dynamics of a heavy rigid body, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 235 (1996), pp. 104-183, 305. Translation in J. Math. Sci. (New York), 94 (1999), pp. 1512-1557.
-
(1996)
Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI)
, vol.235
, pp. 104-183
-
-
Fomenko, A.T.1
-
20
-
-
33646659791
-
-
Translation in
-
A. T. FOMENKO, ED., Symplectic topology of integrable dynamical systems. Rough topological classification of classical cases of integrability in the dynamics of a heavy rigid body, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 235 (1996), pp. 104-183, 305. Translation in J. Math. Sci. (New York), 94 (1999), pp. 1512-1557.
-
(1999)
J. Math. Sci. (New York)
, vol.94
, pp. 1512-1557
-
-
-
21
-
-
0042909264
-
On random perturbations of Hamiltonian systems with many degrees of freedom
-
M. FREIDLIN AND M. WEBER, On random perturbations of Hamiltonian systems with many degrees of freedom, Stochastic Process. Appl., 94 (2001), pp. 199-239.
-
(2001)
Stochastic Process. Appl.
, vol.94
, pp. 199-239
-
-
Freidlin, M.1
Weber, A.M.2
-
23
-
-
0003053373
-
On the conservation of hyperbolic invariant tori for Hamiltonian systems
-
S. M. GRAFF, On the conservation of hyperbolic invariant tori for Hamiltonian systems, J. Differential Equations, 15 (1974), pp. 1-69.
-
(1974)
J. Differential Equations
, vol.15
, pp. 1-69
-
-
Graff, S.M.1
-
24
-
-
0003478288
-
-
Springer-Verlag, New York
-
J. GUCKENHEIMER AND P. HOLMES, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer-Verlag, New York, 1983.
-
(1983)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
-
-
Guckenheimer, J.1
Holmes, P.2
-
25
-
-
0006044307
-
Chaos near resonance
-
Springer-Verlag, New York
-
G. HALLER, Chaos Near Resonance, Appl. Math. Sci. 138, Springer-Verlag, New York, 1999.
-
(1999)
Appl. Math. Sci.
, vol.138
-
-
Haller, G.1
-
26
-
-
0010138127
-
The quasi-periodic center-saddle bifurcation
-
H. HANßMANN, The quasi-periodic center-saddle bifurcation, J. Differential Equations, 142 (1997), pp. 305-370.
-
(1997)
J. Differential Equations
, vol.142
, pp. 305-370
-
-
Hanßmann, H.1
-
27
-
-
33646657443
-
A survey on bifurcations of invariant tori
-
J. Delgado et al., eds., Kluwer Academic Publishers, Dordrecht, The Netherlands
-
H. HANßMANN, A survey on bifurcations of invariant tori, in New Advances in Celestial Mechanics and Hamiltonian Systems, J. Delgado et al., eds., Kluwer Academic Publishers, Dordrecht, The Netherlands, 2004, pp. 109-121.
-
(2004)
New Advances in Celestial Mechanics and Hamiltonian Systems
, pp. 109-121
-
-
Hanßmann, H.1
-
28
-
-
0003195540
-
Introduction to the modern theory of dynamical systems
-
Cambridge University Press, Cambridge, UK
-
A. KATOK AND B. HASSELBLATT, Introduction to the Modern Theory of Dynamical Systems, Encyclopedia Math. Appl. 54, Cambridge University Press, Cambridge, UK, 1995.
-
(1995)
Encyclopedia Math. Appl.
, vol.54
-
-
Katok, A.1
Hasselblatt, B.2
-
29
-
-
43949162797
-
Frequency analysis for multi-dimensional systems, global dynamics and diffusion
-
J. LASKAR, Frequency analysis for multi-dimensional systems, global dynamics and diffusion, Phys. D, 67 (1993), pp. 257-281.
-
(1993)
Phys. D
, vol.67
, pp. 257-281
-
-
Laskar, J.1
-
30
-
-
43949162797
-
Global dynamics and diffusion
-
J. LASKAR, Global dynamics and diffusion, Phys. D, 67 (1993), pp. 257-281.
-
(1993)
Phys. D
, vol.67
, pp. 257-281
-
-
Laskar, J.1
-
31
-
-
33746934264
-
Isoenergetical structure of integrable Hamiltonian systems in an extended neighborhood of a simple singular point: Three degrees of freedom
-
L. LERMAN, Isoenergetical structure of integrable Hamiltonian systems in an extended neighborhood of a simple singular point: Three degrees of freedom, Amer. Math. Soc. Transi. Ser. 2, 200 (2000), pp. 219-242.
-
(2000)
Amer. Math. Soc. Transi. Ser.
, vol.2
, Issue.200
, pp. 219-242
-
-
Lerman, L.1
-
32
-
-
0006082624
-
2 in extended neighborhood of simple singular points, I
-
2 in extended neighborhood of simple singular points, I, Sb. Math., 77 (1994), pp. 511-542.
-
(1994)
Sb. Math.
, vol.77
, pp. 511-542
-
-
Lerman, L.1
Umanskii, Y.L.2
-
33
-
-
0040251159
-
2 in extended neighborhood of simple singular points, II
-
2 in extended neighborhood of simple singular points, II, Sb. Math., 78 (1994), pp. 479-506.
-
(1994)
Sb. Math.
, vol.78
, pp. 479-506
-
-
Lerman, L.1
Umanskii, Y.L.2
-
34
-
-
0003227684
-
2 in extended neighborhoods of simple singular points. III. Realizations
-
in Russian
-
2 in extended neighborhoods of simple singular points. III. Realizations, Mat. Sb., 186 (1995), pp. 89-102 (in Russian). English translation in Sb. Math., 186 (1995), pp. 1477-1491.
-
(1995)
Mat. Sb.
, vol.186
, pp. 89-102
-
-
Lerman, L.M.1
Umanskii, Y.L.2
-
35
-
-
84957148912
-
-
English translation in
-
2 in extended neighborhoods of simple singular points. III. Realizations, Mat. Sb., 186 (1995), pp. 89-102 (in Russian). English translation in Sb. Math., 186 (1995), pp. 1477-1491.
-
(1995)
Sb. Math.
, vol.186
, pp. 1477-1491
-
-
-
36
-
-
0003365533
-
Four-dimensional integrable Hamiltonian systems with simple singular points (topological aspects)
-
AMS, Providence, RI, Translated from the Russian manuscript by A. Kononenko and A. Semenovich
-
L. M. LERMAN AND Y. L. UMANSKII, Four-dimensional integrable Hamiltonian systems with simple singular points (topological aspects), Transl. Math. Monogr. 176, AMS, Providence, RI, 1998. Translated from the Russian manuscript by A. Kononenko and A. Semenovich.
-
(1998)
Transl. Math. Monogr.
, vol.176
-
-
Lerman, L.M.1
Umanskii, A.Y.L.2
-
37
-
-
0003071542
-
Regular and stochastic motion
-
Springer-Verlag, New York
-
A. LICHTENBERG AND M. LIEBERMAN, Regular and Stochastic Motion, Appl. Math. Sci. 38, Springer-Verlag, New York, 1983.
-
(1983)
Appl. Math. Sci.
, vol.38
-
-
Lichtenberg, A.1
Lieberman, M.2
-
38
-
-
0042871450
-
-
Ph.D. thesis, The Weizmann Institute of Science, Rehovot, Israel
-
A. LITVAK-HINENZON, Parabolic Resonances in Hamiltonian Systems, Ph.D. thesis, The Weizmann Institute of Science, Rehovot, Israel, 2001.
-
(2001)
Parabolic Resonances in Hamiltonian Systems
-
-
Litvak-Hinenzon, A.1
-
39
-
-
0006116617
-
Parabolic resonances in near integrable Hamiltonian systems
-
D. S. Broomhead, E. A. Luchinskaya, P. V. E. McClintock, and T. Mullin, eds., American Institute of Physics, Melville, NY
-
A. LITVAK-HINENZON AND V. ROM-KEDAR, Parabolic resonances in near integrable Hamiltonian systems, in Stochaos: Stochastic and Chaotic Dynamics in the Lakes, D. S. Broomhead, E. A. Luchinskaya, P. V. E. McClintock, and T. Mullin, eds., American Institute of Physics, Melville, NY, 2000, pp. 358-368.
-
(2000)
Stochaos: Stochastic and Chaotic Dynamics in the Lakes
, pp. 358-368
-
-
Litvak-Hinenzon, A.1
Rom-Kedar, V.2
-
40
-
-
0037089436
-
Parabolic resonances in 3 degree of freedom near-integrable Hamiltonian systems
-
A. LITVAK-HINENZON AND V. ROM-KEDAR, Parabolic resonances in 3 degree of freedom near-integrable Hamiltonian systems, Phys. D, 164 (2002), pp. 213-250.
-
(2002)
Phys. D
, vol.164
, pp. 213-250
-
-
Litvak-Hinenzon, A.1
Rom-Kedar, V.2
-
41
-
-
0042384685
-
Resonant tori and instabilities in Hamiltonian systems
-
A. LITVAK-HINENZON AND V. ROM-KEDAR, Resonant tori and instabilities in Hamiltonian systems, Nonlinearity, 15 (2002), pp. 1149-1177.
-
(2002)
Nonlinearity
, vol.15
, pp. 1149-1177
-
-
Litvak-Hinenzon, A.1
Rom-Kedar, V.2
-
42
-
-
33646651707
-
The mechanism of parabolic resonance
-
Hasselt, Belgium, J. Mawhin and S. V. Lunel, eds., World Scientific, Singapore, to appear
-
A. LITVAK-HINENZON, The Mechanism of Parabolic Resonance, in Equadiff 2003, Hasselt, Belgium, J. Mawhin and S. V. Lunel, eds., World Scientific, Singapore, to appear.
-
Equadiff 2003
-
-
Litvak-Hinenzon, A.1
-
43
-
-
77954605526
-
Introduction to hamiltonian dynamical systems and the n-body problem
-
Springer-Verlag, New York
-
K. R. MEYER AND R. G. HALL, Introduction to Hamiltonian Dynamical Systems and the N-Body Problem, Appl. Math. Sci. 90, Springer-Verlag, New York, 1991.
-
(1991)
Appl. Math. Sci.
, vol.90
-
-
Meyer, K.R.1
Hall, R.G.2
-
44
-
-
0003252211
-
Morse theory. Based on lecture notes by M. Spivak and R. Wells
-
Princeton University Press, Princeton, NJ
-
J. MILNOR, Morse Theory. Based on Lecture Notes by M. Spivak and R. Wells, Ann. of Math. Stud. 51, Princeton University Press, Princeton, NJ, 1963.
-
(1963)
Ann. of Math. Stud.
, vol.51
-
-
Milnor, J.1
-
45
-
-
0000234399
-
Action-angle variables, and their generalizations
-
N. N. NEHOROSEV, Action-angle variables, and their generalizations, Trans. Moscow Math. Soc., 26 (1972), pp. 181-198.
-
(1972)
Trans. Moscow Math. Soc.
, vol.26
, pp. 181-198
-
-
Nehorosev, N.N.1
-
46
-
-
0001330025
-
Description of isoenergetic surfaces of integrable Hamiltonian systems with two degrees of freedom
-
in Russian
-
A. A. OSHEMKOV, Description of isoenergetic surfaces of integrable Hamiltonian systems with two degrees of freedom, Trudy Sem. Vektor. Tenzor. Anal., 23 (1988), pp. 122-132 (in Russian).
-
(1988)
Trudy Sem. Vektor. Tenzor. Anal.
, vol.23
, pp. 122-132
-
-
Oshemkov, A.A.1
-
47
-
-
0000882204
-
On elliptic lower dimensional tori in Hamiltonian systems
-
J. PÖSCHEL, On elliptic lower dimensional tori in Hamiltonian systems, Math. Z., 202 (1989), pp. 559-608.
-
(1989)
Math. Z.
, vol.202
, pp. 559-608
-
-
Pöschel, J.1
-
48
-
-
21744443351
-
Parabolic resonances and instabilities
-
V. ROM-KEDAR, Parabolic resonances and instabilities, Chaos, 7 (1997), pp. 148-158.
-
(1997)
Chaos
, vol.7
, pp. 148-158
-
-
Rom-Kedar, V.1
-
49
-
-
0000288001
-
Chaotic Hamiltonian dynamics of particle's horizontal motion in the atmosphere
-
V. ROM-KEDAR, Y. DVORKIN, AND N. PALDOR, Chaotic Hamiltonian dynamics of particle's horizontal motion in the atmosphere, Phys. D, 106 (1997), pp. 389-431.
-
(1997)
Phys. D
, vol.106
, pp. 389-431
-
-
Rom-Kedar, V.1
Dvorkin, Y.2
Paldor, N.3
-
50
-
-
22244441450
-
Topology and mechanics. I
-
S. SMALE, Topology and mechanics. I, Invent. Math., 10 (1970), pp. 305-331.
-
(1970)
Invent. Math.
, vol.10
, pp. 305-331
-
-
Smale, S.1
-
51
-
-
0000928929
-
Diffusion in near-integrable Hamiltonian systems with three degrees of freedom
-
Amer. Inst. Phys., New York
-
J. L. TENNYSON, M. A. LIEBERMAN, AND A. J. LICHTENBERG, Diffusion in near-integrable Hamiltonian systems with three degrees of freedom, in Nonlinear Dynamics and the Beam-Beam Interaction AIP Conf. Proc. 57, Amer. Inst. Phys., New York, 1980, pp. 272-301.
-
(1980)
Nonlinear Dynamics and the Beam-beam Interaction AIP Conf. Proc.
, vol.57
, pp. 272-301
-
-
Tennyson, J.L.1
Lieberman, M.A.2
Lichtenberg, A.J.3
-
52
-
-
0037524457
-
Multidimensional symplectic separatrix maps
-
D. TRESCHEV, Multidimensional symplectic separatrix maps, J. Nonlinear Sci., 12 (2002), pp. 27-58.
-
(2002)
J. Nonlinear Sci.
, vol.12
, pp. 27-58
-
-
Treschev, D.1
-
53
-
-
0041382933
-
Trajectories in a neighbourhood of asymptotic surfaces of a priori unstable Hamiltonian systems
-
D. TRESCHEV, Trajectories in a neighbourhood of asymptotic surfaces of a priori unstable Hamiltonian systems, Nonlinearity, 15 (2002), pp. 2033-2052.
-
(2002)
Nonlinearity
, vol.15
, pp. 2033-2052
-
-
Treschev, D.1
-
54
-
-
0037050349
-
Quantum monodromy in prolate ellipsoidal billiards
-
H. WAALKENS AND H. R. DULLIN, Quantum monodromy in prolate ellipsoidal billiards, Ann. Physics, 295 (2002), pp. 81-112.
-
(2002)
Ann. Physics
, vol.295
, pp. 81-112
-
-
Waalkens, H.1
Dullin, H.R.2
|