-
1
-
-
33645995435
-
On meta-stability in FPU
-
D. Bambusi and A. Ponno, On meta-stability in FPU, Comm. Math. Phys, 264, 539-561 (2006).
-
(2006)
Comm. Math. Phys
, vol.264
, pp. 539-561
-
-
Bambusi, D.1
Ponno, A.2
-
2
-
-
17744400367
-
-
G. Benettin, Time scale for energy equipartition in a two-dimensional FPU model, Chaos, 15, 015108, 10 (2005).
-
G. Benettin, Time scale for energy equipartition in a two-dimensional FPU model, Chaos, 15, 015108, 10 (2005).
-
-
-
-
3
-
-
0032760306
-
From Hamiltonian perturbation theory to symplectic integrators and back
-
Golden, CO
-
G. Benettin and F. Fassò, From Hamiltonian perturbation theory to symplectic integrators and back, Proceedings of the NSF/CBMS Regional Conference on numerical analysis of Hamiltonian differential equations (Golden, CO, 1997), 29, 73-87 (1999).
-
(1997)
Proceedings of the NSF/CBMS Regional Conference on numerical analysis of Hamiltonian differential equations
, vol.29
, pp. 73-87
-
-
Benettin, G.1
Fassò, F.2
-
4
-
-
0018989294
-
Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them, part 1: Theory
-
G. Benettin, L. Galgani, A. Giorgilli and J.-M. Strelcyn, Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them, part 1: Theory Meccanica, 9-20 (1980).
-
(1980)
Meccanica
, vol.9-20
-
-
Benettin, G.1
Galgani, L.2
Giorgilli, A.3
Strelcyn, J.-M.4
-
5
-
-
0018989294
-
Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them, part 2: Numerical applications
-
G. Benettin, L. Galgani, A. Giorgilli and J.-M. Strelcyn, Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them, part 2: numerical applications, Meccanica, 21-30 (1980).
-
(1980)
Meccanica
, vol.21-30
-
-
Benettin, G.1
Galgani, L.2
Giorgilli, A.3
Strelcyn, J.-M.4
-
6
-
-
21344491735
-
On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
-
G. Benettin and A. Giorgilli, On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms, J. Statist. Phys., 74, 1117-1143 (1994).
-
(1994)
J. Statist. Phys
, vol.74
, pp. 1117-1143
-
-
Benettin, G.1
Giorgilli, A.2
-
7
-
-
13244295528
-
Localization of energy in FPU chains
-
L. Berchialla, L. Galgani and A. Giorgilli, Localization of energy in FPU chains, Discrete Contin. Dyn. Syst., 11, 855-866 (2004).
-
(2004)
Discrete Contin. Dyn. Syst
, vol.11
, pp. 855-866
-
-
Berchialla, L.1
Galgani, L.2
Giorgilli, A.3
-
8
-
-
1042301145
-
Exponentially long times to equipartition in the thermodynamic limit
-
L. Berchialla, A. Giorgilli and S. Paleari, Exponentially long times to equipartition in the thermodynamic limit, Phys. Lett. A, 321, 167-172 (2004).
-
(2004)
Phys. Lett. A
, vol.321
, pp. 167-172
-
-
Berchialla, L.1
Giorgilli, A.2
Paleari, S.3
-
9
-
-
0009066252
-
Anharmonic chain with Lennard-Jones interaction
-
P. Bocchieri, A. Scotti, B. Bearzi and A. Loinger, Anharmonic chain with Lennard-Jones interaction, Phys. Rev. A, 2, 2013-2019 (1970).
-
(1970)
Phys. Rev. A
, vol.2
, pp. 2013-2019
-
-
Bocchieri, P.1
Scotti, A.2
Bearzi, B.3
Loinger, A.4
-
10
-
-
36849033579
-
-
L.A. Bunimovich, S.G. Dani, R.L. Dobrushin, M.V. Jakobson, I.P. Kornfeld, N.B. Maslova, Y.B. Pesin, Y.G. Sinai, J. Smillie, Y.M. Sukhov and A.M. Vershik, Dynamical systems, ergodic theory and applications 100 of Encyclopaedia of Mathematical Sciences, Springer-Verlag, Berlin, revised edition, 2000. Edited and with a preface by Sinai, Translated from the Russian, Mathematical Physics, I.
-
L.A. Bunimovich, S.G. Dani, R.L. Dobrushin, M.V. Jakobson, I.P. Kornfeld, N.B. Maslova, Y.B. Pesin, Y.G. Sinai, J. Smillie, Y.M. Sukhov and A.M. Vershik, Dynamical systems, ergodic theory and applications vol. 100 of Encyclopaedia of Mathematical Sciences, Springer-Verlag, Berlin, revised edition, 2000. Edited and with a preface by Sinai, Translated from the Russian, Mathematical Physics, I.
-
-
-
-
11
-
-
0038171327
-
-
A. Carati, L. Galgani, A. Ponno and A. Giorgilli, The Fermi-Pasta-Ulam problem, Nuovo Cimento B (11), 117, 1017-1026 (2002).
-
(2002)
The Fermi-Pasta-Ulam problem, Nuovo Cimento B
, vol.117
, pp. 1017-1026
-
-
Carati, A.1
Galgani, L.2
Ponno, A.3
Giorgilli, A.4
-
12
-
-
0000313054
-
-
L. Casetti, M. Cerruti-Sola, M. Pettini and E.G.D. Cohen, The Fermi-Pasta-Ulam problem revisited: Stochasticity thresholds in nonlinear Hamiltonian systems, Phys. Rev. E (3), 55, 6566-6574 (1997).
-
L. Casetti, M. Cerruti-Sola, M. Pettini and E.G.D. Cohen, The Fermi-Pasta-Ulam problem revisited: Stochasticity thresholds in nonlinear Hamiltonian systems, Phys. Rev. E (3), 55, 6566-6574 (1997).
-
-
-
-
14
-
-
0041529988
-
Phase space structure of multidimensional systems by means of the mean exponential growth factor of nearby orbits
-
P. Cincotta, C. Giordano and C. Simò, Phase space structure of multidimensional systems by means of the mean exponential growth factor of nearby orbits, Phys. D, 182, 151-178 (2003).
-
(2003)
Phys. D
, vol.182
, pp. 151-178
-
-
Cincotta, P.1
Giordano, C.2
Simò, C.3
-
15
-
-
0342792866
-
Time scale to ergodicity in the fermi-pasta-ulam system
-
J. De Luca, A. Lichtenberg and M.A. Lieberman, Time scale to ergodicity in the fermi-pasta-ulam system, Chaos 5, 283-297 (1995).
-
(1995)
Chaos
, vol.5
, pp. 283-297
-
-
De Luca, J.1
Lichtenberg, A.2
Lieberman, M.A.3
-
16
-
-
0007716335
-
-
J. De Luca, A. Lichtenberg and S. Ruffo, Energy transition and time scale to equipartition in the Fermi-Pasta-Ulam oscillator chain, Phys. Rev. E (3), 51, 2877-2884 (1995).
-
J. De Luca, A. Lichtenberg and S. Ruffo, Energy transition and time scale to equipartition in the Fermi-Pasta-Ulam oscillator chain, Phys. Rev. E (3), 51, 2877-2884 (1995).
-
-
-
-
17
-
-
0000535935
-
-
J. De Luca, A. Lichtenberg and S. Ruffo, Finite times to equipartition in the thermodynamic limit, Phys. Rev. E (3), 60, 3781-3786 (1999).
-
J. De Luca, A. Lichtenberg and S. Ruffo, Finite times to equipartition in the thermodynamic limit, Phys. Rev. E (3), 60, 3781-3786 (1999).
-
-
-
-
18
-
-
36849044335
-
-
E. Fermi, J. Pasta and S. Ulam, Studies of nonlinear problems, in Collected papers (Notes and memories). II: United States, 1939-1954, 1955. Los Alamos document LA-1940.
-
E. Fermi, J. Pasta and S. Ulam, Studies of nonlinear problems, in Collected papers (Notes and memories). Vol. II: United States, 1939-1954, 1955. Los Alamos document LA-1940.
-
-
-
-
19
-
-
0036375843
-
-
M. Fouchard, E. Lega, C. Froeschlé and C. Froeschlé, On the relationship between fast Lyapunov indicator and periodic orbits for continuous flows, Celestial Mech. Dynam. Astronom., 83, 205-222, (2002). Modern celestial mechanics: From theory to applications (Rome, 2001).
-
M. Fouchard, E. Lega, C. Froeschlé and C. Froeschlé, On the relationship between fast Lyapunov indicator and periodic orbits for continuous flows, Celestial Mech. Dynam. Astronom., 83, 205-222, (2002). Modern celestial mechanics: From theory to applications (Rome, 2001).
-
-
-
-
20
-
-
0034703327
-
Graphical evolution of the Arnold web: From order to chaos
-
C. Froeschlé, M. Guzzo and E. Lega, Graphical evolution of the Arnold web: From order to chaos, Science, 289, 2108-2110 (2000).
-
(2000)
Science
, vol.289
, pp. 2108-2110
-
-
Froeschlé, C.1
Guzzo, M.2
Lega, E.3
-
21
-
-
0008488784
-
-
C. Froeschlé and E. Lega, On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool, Celestial Mech. Dynam. Astronom., 78 (2000), 167-195 (2001). New developments in the dynamics of planetary systems (Badhofgastein, 2000).
-
C. Froeschlé and E. Lega, On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool, Celestial Mech. Dynam. Astronom., 78 (2000), 167-195 (2001). New developments in the dynamics of planetary systems (Badhofgastein, 2000).
-
-
-
-
22
-
-
0002443585
-
Fast Lyapunov indicators. Application to asteroidal motion
-
C. Froeschlé, E. Lega and R. Gonczi, Fast Lyapunov indicators. Application to asteroidal motion, Celestial Mech. Dynam. Astronom., 67, 41-62 (1997).
-
(1997)
Celestial Mech. Dynam. Astronom
, vol.67
, pp. 41-62
-
-
Froeschlé, C.1
Lega, E.2
Gonczi, R.3
-
23
-
-
0020130135
-
Approach to equilibrium in a chain of nonlinear oscillators
-
F. Fucito, F. Marchesoni, E. Marinari, G. Parisi, L. Peliti, S. Ruffo and A. Vulpiani, Approach to equilibrium in a chain of nonlinear oscillators, J. Physique, 43, 707-713 (1982).
-
(1982)
J. Physique
, vol.43
, pp. 707-713
-
-
Fucito, F.1
Marchesoni, F.2
Marinari, E.3
Parisi, G.4
Peliti, L.5
Ruffo, S.6
Vulpiani, A.7
-
24
-
-
0001276861
-
On the problem of energy equipartition for large systems of the Fermi-Pasta-Ulam type: Analytical and numerical estimates
-
L. Galgani, A. Giorgilli, A. Martinoli and S. Vanzini, On the problem of energy equipartition for large systems of the Fermi-Pasta-Ulam type: analytical and numerical estimates, Phys. D, 59, 334-348 (1992).
-
(1992)
Phys. D
, vol.59
, pp. 334-348
-
-
Galgani, L.1
Giorgilli, A.2
Martinoli, A.3
Vanzini, S.4
-
26
-
-
51249191030
-
Recent progress in classical nonlinear dynamics, Riv
-
L. Galgani and A. Scotti, Recent progress in classical nonlinear dynamics, Riv. Nuovo Cimento (2), 2, 189-209 (1972).
-
(1972)
Nuovo Cimento
, vol.2
, pp. 189-209
-
-
Galgani, L.1
Scotti, A.2
-
27
-
-
28444449084
-
Local chaotic behaviour in the FPU system
-
A. Giorgilli, S. Paleari and T. Penati, Local chaotic behaviour in the FPU system, Discrete Contin. Dyn. Syst. Ser. B, 5, 991-1004 (2005).
-
(2005)
Discrete Contin. Dyn. Syst. Ser. B
, vol.5
, pp. 991-1004
-
-
Giorgilli, A.1
Paleari, S.2
Penati, T.3
-
28
-
-
0036499211
-
On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems
-
M. Guzzo, E. Lega and C. Froeschlé, On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems, Phys. D, 163, 1-25 (2002).
-
(2002)
Phys. D
, vol.163
, pp. 1-25
-
-
Guzzo, M.1
Lega, E.2
Froeschlé, C.3
-
29
-
-
23844537121
-
First numerical evidence of global Arnold diffusion in quasi-integrable systems
-
M. Guzzo, E. Lega and C. Froeschlé, First numerical evidence of global Arnold diffusion in quasi-integrable systems, Discrete Contin. Dyn. Syst. Ser. B, 5, 687-698 (2005).
-
(2005)
Discrete Contin. Dyn. Syst. Ser. B
, vol.5
, pp. 687-698
-
-
Guzzo, M.1
Lega, E.2
Froeschlé, C.3
-
30
-
-
36849088738
-
-
E. Hairer, Backward analysis of numerical integrators and symplectic methods, Ann. Numer. Math., 1, 107-132 (1994). Scientific computation and differential equations (Auckland, 1993).
-
E. Hairer, Backward analysis of numerical integrators and symplectic methods, Ann. Numer. Math., 1, 107-132 (1994). Scientific computation and differential equations (Auckland, 1993).
-
-
-
-
31
-
-
1642495077
-
Geometric numerical integration
-
of, Springer-Verlag, Berlin, Structure-preserving algorithms for ordinary differential equations
-
E. Hairer, C. Lubich and G. Wanner, Geometric numerical integration vol. 31 of Springer Series in Computational Mathematics, Springer-Verlag, Berlin, 2002. Structure-preserving algorithms for ordinary differential equations.
-
(2002)
Springer Series in Computational Mathematics
, vol.31
-
-
Hairer, E.1
Lubich, C.2
Wanner, G.3
-
32
-
-
0002980692
-
Stochasticity of the simplest dynamical model with divided phase space
-
F.M. Izrailev and B.V. Chirikov, Stochasticity of the simplest dynamical model with divided phase space, Sov. Phys. Dokl., 11, 30 (1966).
-
(1966)
Sov. Phys. Dokl
, vol.11
, pp. 30
-
-
Izrailev, F.M.1
Chirikov, B.V.2
-
33
-
-
0013087334
-
Vanishing stability thresholds in the thermodynamic limit of nonintegrable conservative systems
-
H. Kantz, Vanishing stability thresholds in the thermodynamic limit of nonintegrable conservative systems, Phys. D, 39, 322-335 (1989).
-
(1989)
Phys. D
, vol.39
, pp. 322-335
-
-
Kantz, H.1
-
34
-
-
0347583689
-
Equipartition thresholds in chains of anharmonic oscillators
-
H. Kantz, R. Livi and S. Ruffo, Equipartition thresholds in chains of anharmonic oscillators, J. Statis. Phys., 76, 627-643 (1994).
-
(1994)
J. Statis. Phys
, vol.76
, pp. 627-643
-
-
Kantz, H.1
Livi, R.2
Ruffo, S.3
-
35
-
-
0042531996
-
Detection of Arnold diffusion in Hamiltonian systems
-
E. Lega, M. Guzzo and C. Froeschlé, Detection of Arnold diffusion in Hamiltonian systems, Phys. D, 182, 179-187 (2003).
-
(2003)
Phys. D
, vol.182
, pp. 179-187
-
-
Lega, E.1
Guzzo, M.2
Froeschlé, C.3
-
36
-
-
0038434713
-
A multiplicative ergodic theorem. Characteristic Ljapunov, exponents of dynamical systems
-
V.I. Oseledec, A multiplicative ergodic theorem. Characteristic Ljapunov, exponents of dynamical systems, Trudy Moskov. Mat. Obšč., 19, 179-210 (1968).
-
(1968)
Trudy Moskov. Mat. Obšč
, vol.19
, pp. 179-210
-
-
Oseledec, V.I.1
-
37
-
-
36849002555
-
-
S. Paleari and T. Penati, Relaxation time to equilibrium in Fermi-Pasta-Ulam system, in Symmetry and perturbation theory (Cala Gonone, 2004), World Science Publishing, River Edge, NJ, 2004, pp. 255-263.
-
S. Paleari and T. Penati, Relaxation time to equilibrium in Fermi-Pasta-Ulam system, in Symmetry and perturbation theory (Cala Gonone, 2004), World Science Publishing, River Edge, NJ, 2004, pp. 255-263.
-
-
-
-
39
-
-
0000569924
-
-
M. Pettini and M. Landolfi, Relaxation properties and ergodicity breaking in nonlinear Hamiltonian dynamics, Phys. Rev. A (3), 41, 768-783 (1990).
-
M. Pettini and M. Landolfi, Relaxation properties and ergodicity breaking in nonlinear Hamiltonian dynamics, Phys. Rev. A (3), 41, 768-783 (1990).
-
-
-
-
40
-
-
0035531312
-
Symmetry and resonance in periodic FPU chains
-
B. Rink, Symmetry and resonance in periodic FPU chains, Comm. Math. Phys. 218, 665-685 (2001).
-
(2001)
Comm. Math. Phys
, vol.218
, pp. 665-685
-
-
Rink, B.1
-
41
-
-
0035976867
-
Alignment indices: A new, simple method for determining the ordered or chaotic nature of orbits
-
C. Skokos, Alignment indices: A new, simple method for determining the ordered or chaotic nature of orbits, J. Phys. A, 34, 10029-10043 (2001).
-
(2001)
J. Phys. A
, vol.34
, pp. 10029-10043
-
-
Skokos, C.1
-
42
-
-
3042620995
-
Detecting order and chaos in Hamiltonian systems by the SALI method
-
C. Skokos, C. Antonopoulos, T.C. Bountis and M.N. Vrahatis, Detecting order and chaos in Hamiltonian systems by the SALI method, J. Phys. A, 37, 6269-6284 (2004).
-
(2004)
J. Phys. A
, vol.37
, pp. 6269-6284
-
-
Skokos, C.1
Antonopoulos, C.2
Bountis, T.C.3
Vrahatis, M.N.4
-
43
-
-
0000931034
-
-
K. Ullmann, A. Lichtenberg and G. Corso, Energy equipartition starting from high-frequency modes in the Fermi-Pasta-Ulam β oscillator chain, Phys. Rev. E (3), 61, 2471-2477 (2000).
-
K. Ullmann, A. Lichtenberg and G. Corso, Energy equipartition starting from high-frequency modes in the Fermi-Pasta-Ulam β oscillator chain, Phys. Rev. E (3), 61, 2471-2477 (2000).
-
-
-
-
44
-
-
22944467757
-
Computer "experiments" on classical fluids. I.Thermodynamical properties of Lennard-Jones molecules
-
L. Verlet, Computer "experiments" on classical fluids. I.Thermodynamical properties of Lennard-Jones molecules, Phys. Rev., 159, 98-103 (1967).
-
(1967)
Phys. Rev
, vol.159
, pp. 98-103
-
-
Verlet, L.1
|