-
1
-
-
0342836392
-
Renormalisation method for computing the threshold of the large scale stochastic instability in two degree of freedom Hamiltonian systems
-
D. F. Escande and F. Doveil. Renormalisation method for computing the threshold of the large scale stochastic instability in two degree of freedom Hamiltonian systems. J. Stat. Phys. 26 (1981), 257-284.
-
(1981)
J. Stat. Phys
, vol.26
, pp. 257-284
-
-
Escande, D.F.1
Doveil, F.2
-
2
-
-
0000272187
-
Scaling for a critical Kolmogorov-Arnold-Moser trajectory
-
L. P. Kadanoff. Scaling for a critical Kolmogorov-Arnold-Moser trajectory. Phys. Rev. Lett. 47 (1981), 1641-1643.
-
(1981)
Phys. Rev. Lett
, vol.47
, pp. 1641-1643
-
-
Kadanoff, L.P.1
-
3
-
-
0000296339
-
Critical behavior of a KAM surface. I. Empirical results
-
S. J. Shenker and L. P. Kadanoff. Critical behavior of a KAM surface. I. Empirical results. J. Stat. Phys. 27(1982), 631-656.
-
(1982)
J. Stat. Phys
, vol.27
, pp. 631-656
-
-
Shenker, S.J.1
Kadanoff, L.P.2
-
4
-
-
0003947416
-
Renormalisation in area preserving maps
-
Princeton, unpublished, World Scientific, London
-
R. S. MacKay. Renormalisation in area preserving maps. Thesis, Princeton, 1982 (unpublished). World Scientific, London, 1993.
-
(1982)
Thesis
-
-
MacKay, R.S.1
-
5
-
-
0000535863
-
Destruction of KAM tori in Hamiltonian systems: Link with the destabilization of nearby cycles and calculation of residues
-
A. Mehr and D. F. Escande. Destruction of KAM tori in Hamiltonian systems: link with the destabilization of nearby cycles and calculation of residues. Phys. D 13 (1984), 302-338.
-
(1984)
Phys. D
, vol.13
, pp. 302-338
-
-
Mehr, A.1
Escande, D.F.2
-
7
-
-
13244292771
-
New fixed point of the renormalization operator for invariant circles
-
J. Wilbrink. New fixed point of the renormalization operator for invariant circles. Phys. Lett. A. 131 (1988), 251-255.
-
(1988)
Phys. Lett. A
, vol.131
, pp. 251-255
-
-
Wilbrink, J.1
-
8
-
-
0009096894
-
Renormalization group methods in the theory of dynamical systems
-
K. Khanin and Ya. G. Sinai. Renormalization group methods in the theory of dynamical systems. Internat. J. Modern Phys. B 2 (1988), 147-165.
-
(1988)
Internat. J. Modern Phys. B
, vol.2
, pp. 147-165
-
-
Khanin, K.1
Sinai, Y.G.2
-
9
-
-
13244292770
-
New fixed point of the renormalisation operator associated with the recurrence of invariant circles in generic Hamiltonian maps
-
J. Wilbrink. New fixed point of the renormalisation operator associated with the recurrence of invariant circles in generic Hamiltonian maps. Nonlinearity 3 (1990), 567-584.
-
(1990)
Nonlinearity
, vol.3
, pp. 567-584
-
-
Wilbrink, J.1
-
11
-
-
0002560832
-
An approximate renormalization for the break-up of invariant tori with three frequencies
-
R. S. MacKay, J. D. Meiss and J. Stark. An approximate renormalization for the break-up of invariant tori with three frequencies. Phys. Lett. A 190 (1994), 417-424.
-
(1994)
Phys. Lett. A
, vol.190
, pp. 417-424
-
-
MacKay, R.S.1
Meiss, J.D.2
Stark, J.3
-
12
-
-
0031256402
-
Towards an existence proof of Mackay's fixed point
-
A. Stirnemann. Towards an existence proof of Mackay's fixed point. Comm. Math. Phys. 188 (1997), 723-735.
-
(1997)
Comm. Math. Phys
, vol.188
, pp. 723-735
-
-
Stirnemann, A.1
-
13
-
-
0001128446
-
KAM-renormalization group analysis of stability in Hamiltonian flows
-
C. Chandre, M. Govin and H. R. Jauslin. KAM-renormalization group analysis of stability in Hamiltonian flows. Phys. Rev. Lett. 79 (1997), 3881-3884.
-
(1997)
Phys. Rev. Lett
, vol.79
, pp. 3881-3884
-
-
Chandre, C.1
Govin, M.2
Jauslin, H.R.3
-
14
-
-
0010294123
-
Renormalization and transition to chaos in area preserving non-twist maps
-
D. Del-Castillo-Negrete, J. M. Greene and P. J. Morrison. Renormalization and transition to chaos in area preserving non-twist maps. Phys. D 100 (1997), 311-329.
-
(1997)
Phys. D
, vol.100
, pp. 311-329
-
-
Del-Castillo-Negrete, D.1
Greene, J.M.2
Morrison, P.J.3
-
15
-
-
0001582465
-
Universality for the breakup of invariant tori in Hamiltonian flows
-
C. Chandre, M. Govin, H. R. Jauslin and H. Koch. Universality for the breakup of invariant tori in Hamiltonian flows. Phys. Rev. E 57 (1998), 6612-6617.
-
(1998)
Phys. Rev. E
, vol.57
, pp. 6612-6617
-
-
Chandre, C.1
Govin, M.2
Jauslin, H.R.3
Koch, H.4
-
16
-
-
0000667908
-
An approximate renormalization-group transformation for Hamiltonian systems with three degrees of freedom
-
C. Chandre, H. R. Jauslin, G. Benfatto and A. Celletti. An approximate renormalization-group transformation for Hamiltonian systems with three degrees of freedom. Phys. Rev. E 60 (1999), 5412-5421.
-
(1999)
Phys. Rev. E
, vol.60
, pp. 5412-5421
-
-
Chandre, C.1
Jauslin, H.R.2
Benfatto, G.3
Celletti, A.4
-
17
-
-
0034706513
-
Approximate renormalization with codimension-one fixed point for the break-up of some three-frequency tori
-
C. Chandra and R. S. MacKay. Approximate renormalization with codimension-one fixed point for the break-up of some three-frequency tori. Phys. Lett. A 275 (2000), 394-400.
-
(2000)
Phys. Lett. A
, vol.275
, pp. 394-400
-
-
Chandra, C.1
MacKay, R.S.2
-
18
-
-
0042536470
-
Renormalisation of flows on the multidimensional torus close to a KT frequency vector
-
J. Lopes Dias. Renormalisation of flows on the multidimensional torus close to a KT frequency vector. Nonlinearity 15 (2002), 647-664.
-
(2002)
Nonlinearity
, vol.15
, pp. 647-664
-
-
Lopes Dias, J.1
-
19
-
-
0042389813
-
2 with a Diophantine frequency
-
2 with a Diophantine frequency. Nonlinearity 15 (2002), 665-679.
-
(2002)
Nonlinearity
, vol.15
, pp. 665-679
-
-
Lopes Dias, J.1
-
20
-
-
0036257895
-
Renormalization-group analysis for the transition to chaos in Hamiltonian systems
-
C. Chandre and H. R. Jauslin. Renormalization-group analysis for the transition to chaos in Hamiltonian systems. Phys. Rep. 365 (2002), 1-64.
-
(2002)
Phys. Rep
, vol.365
, pp. 1-64
-
-
Chandre, C.1
Jauslin, H.R.2
-
21
-
-
4644366885
-
Renormalization and destruction of 1/y2 tori in the standard nontwist map
-
A. Apte, A. Wurm and P. J. Morrison. Renormalization and destruction of 1/y2 tori in the standard nontwist map. Chaos 13 (2003), 421-433.
-
(2003)
Chaos
, vol.13
, pp. 421-433
-
-
Apte, A.1
Wurm, A.2
Morrison, P.J.3
-
22
-
-
56549131117
-
-
J. J. Abad, H. Koch and P. Wittwer. A renormalization group for Hamiltonians: numerical results. Nonlinearity 1.1 (1998), 1185-1194.
-
J. J. Abad, H. Koch and P. Wittwer. A renormalization group for Hamiltonians: numerical results. Nonlinearity 1.1 (1998), 1185-1194.
-
-
-
-
23
-
-
0033414175
-
A renormalization group for Hamiltonians, with applications to KAM tori
-
H. Koch. A renormalization group for Hamiltonians, with applications to KAM tori. Ergod. Th. & Dynam. Sys. 19 (1999), 1-47.
-
(1999)
Ergod. Th. & Dynam. Sys
, vol.19
, pp. 1-47
-
-
Koch, H.1
-
24
-
-
0034349022
-
Renormalization and periodic orbits for Hamiltonian flows
-
J. J. Abad and H. Koch. Renormalization and periodic orbits for Hamiltonian flows. Comm. Math. Phys. 212 (2000), 371-394.
-
(2000)
Comm. Math. Phys
, vol.212
, pp. 371-394
-
-
Abad, J.J.1
Koch, H.2
-
25
-
-
0036014246
-
On the renormalization of Hamiltonian flows, and critical invariant tori
-
H. Koch. On the renormalization of Hamiltonian flows, and critical invariant tori. Discrete Contin Dyn Syst. A 8 (2002), 633-646.
-
(2002)
Discrete Contin Dyn Syst. A
, vol.8
, pp. 633-646
-
-
Koch, H.1
-
26
-
-
13244256997
-
A renormalization group fixed point associated with the breakup of golden invariant tori
-
H. Koch. A renormalization group fixed point associated with the breakup of golden invariant tori. Discrete. Contin. Dyn. Syst. A. 11 (2004), 881-909.
-
(2004)
Discrete. Contin. Dyn. Syst. A
, vol.11
, pp. 881-909
-
-
Koch, H.1
-
27
-
-
18244367382
-
Renormalization of isoenergetically degenerate Hamiltonian flows and associated bifurcations of invariant tori
-
D. G. Gaidashev. Renormalization of isoenergetically degenerate Hamiltonian flows and associated bifurcations of invariant tori. Discrete Contin. Dyn. Syst. A 13 (2005), 63-102.
-
(2005)
Discrete Contin. Dyn. Syst. A
, vol.13
, pp. 63-102
-
-
Gaidashev, D.G.1
-
28
-
-
26944474370
-
Renormalization of Hamiltonians for Diophantine frequency vectors and KAM tori
-
S. Kocić. Renormalization of Hamiltonians for Diophantine frequency vectors and KAM tori. Nonlinearity 18 (2005), 2513-2544.
-
(2005)
Nonlinearity
, vol.18
, pp. 2513-2544
-
-
Kocić, S.1
-
29
-
-
33748970301
-
The obstruction criterion for non existence of invariant circles and renormalization
-
R. de la Llave and A. Olvera. The obstruction criterion for non existence of invariant circles and renormalization. Nonlinearity 19(8) (2006), 1907-1937.
-
(2006)
Nonlinearity
, vol.19
, Issue.8
, pp. 1907-1937
-
-
de la Llave, R.1
Olvera, A.2
-
30
-
-
56549126258
-
-
Ada flies and data can be found online at http://journals.cambridge.org/ ETS; see also ftp://ftp.ma.utexas.edu/pub/papers/koch/nonsmooth/.
-
Ada flies and data can be found online at http://journals.cambridge.org/ ETS; see also ftp://ftp.ma.utexas.edu/pub/papers/koch/nonsmooth/.
-
-
-
-
31
-
-
33645055707
-
Hyperbolicity of renormalization of critical circle maps
-
M. Yainpolsky. Hyperbolicity of renormalization of critical circle maps. PM. Math. Inst. Hautes Etudes Sci. 96(2002), 1-41.
-
(2002)
PM. Math. Inst. Hautes Etudes Sci
, vol.96
, pp. 1-41
-
-
Yainpolsky, M.1
-
32
-
-
56549114475
-
Siegel disks and renormalization fixed points
-
M. Yampolsky. Siegel disks and renormalization fixed points. Field Inst. Commun. 53 (2008).
-
(2008)
Field Inst. Commun
, vol.53
-
-
Yampolsky, M.1
-
33
-
-
0000820638
-
On local homeomorphisms of Euclidean spaces
-
P. Hartman. On local homeomorphisms of Euclidean spaces. Bol. Soc. Mat. Mexicana 5 (1960), 220-241.
-
(1960)
Bol. Soc. Mat. Mexicana
, vol.5
, pp. 220-241
-
-
Hartman, P.1
|