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1

Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory

Giancarlo Benettin, Luigi Galgani, Antonio Giorgilli, Jean-Marie Strelcyn

Journal:

Année:

1980

Langue:

english

Fichier:

PDF, 1.12 MB

english, 1980

2

Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; A method for computing all of them. Part 2: Numerical application

Giancarlo Benettin, Luigi Galgani, Antonio Giorgilli, Jean-Marie Strelcyn

Journal:

Année:

1980

Langue:

english

Fichier:

PDF, 939 KB

english, 1980

3

A proof of Kolmogorov’s theorem on invariant tori using canonical transformations defined by the Lie method

G. Benettin, L. Galgani, A. Giorgilli, J. -M. Strelcyn

Journal:

Il Nuovo Cimento B (1971-1996)

Année:

1984

Langue:

english

Fichier:

PDF, 937 KB

english, 1984

4

Recent Results on the Fermi-Pasta-Ulam Problem

L. Galgani, A. Giorgilli

Journal:

Journal of Mathematical Sciences

Année:

2005

Langue:

english

Fichier:

PDF, 148 KB

english, 2005

5

A Tribute to Jürgen Moser

Antonio Giorgilli

Journal:

Celestial Mechanics and Dynamical Astronomy

Année:

2000

Langue:

english

Fichier:

PDF, 17 KB

english, 2000

6

The Fermi–Pasta–Ulam problem as a challenge for the foundations of physics

Carati, A., Galgani, L., Giorgilli, A.

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Année:

2005

Langue:

english

Fichier:

PDF, 345 KB

english, 2005

7

Exponential stability for time dependent potentials

Antonio Giorgilli, Eduard Zehnder

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Année:

1992

Langue:

english

Fichier:

PDF, 1.14 MB

english, 1992

8

Exponential stability of states close to resonance in infinite-dimensional Hamiltonian systems

Dario Bambusi, Antonio Giorgilli

Journal:

Journal of Statistical Physics

Année:

1993

Langue:

english

Fichier:

PDF, 1.44 MB

english, 1993

9

On the problem of energy equipartition for large systems of the Fermi-Pasta-Ulam type: analytical and numerical estimates

Luigi Galgani, Antonio Giorgilli, Andrea Martinoli, Stefano Vanzini

Journal:

Physica D: Nonlinear Phenomena

Année:

1992

Langue:

english

Fichier:

PDF, 1.03 MB

english, 1992

10

Boltzmann's ultraviolet cutoff and Nekhoroshev's theorem on Arnold diffusion

Benettin, Giancarlo, Galgani, Luigi, Giorgilli, Antonio

Journal:

Année:

1984

Fichier:

PDF, 316 KB

1984

11

Representation of a 2-power as sum of k 2-powers: A recursive formula

Giorgilli, A., Molteni, G.

Journal:

Journal of Number Theory

Année:

2013

Langue:

english

Fichier:

PDF, 197 KB

english, 2013

12

On the number of isolating integrals in Hamiltonian systems

Contopoulos, George, Galgani, Luigi, Giorgilli, Antonio

Journal:

Physical Review A

Année:

1978

Langue:

english

Fichier:

PDF, 511 KB

english, 1978

13

IL FLEBILE SUSSURRO DEL CAOS NELLâARMONIA DEI PIANETI

Giorgilli, Antonio

Journal:

Istituto Lombardo - Accademia di Scienze e Lettere - Incontri di Studio

Année:

2018

Fichier:

PDF, 8.73 MB

2018

14

NORMAL FORM AND ENERGY CONSERVATION OF HIGH FREQUENCY SUBSYSTEMS WITHOUT NONRESONANCE CONDITIONS

Bambusi, Dario, Giorgilli, Antonio, Paleari, Simone, Penati, Tiziano

Journal:

Istituto Lombardo - Accademia di Scienze e Lettere - Rendiconti di Scienze

Année:

2013

Fichier:

PDF, 346 KB

2013

15

A computer program for integrals of motion

Antonio Giorgilli

Journal:

Computer Physics Communications

Année:

1979

Langue:

english

Fichier:

PDF, 1002 KB

english, 1979

16

On a connection between KAM and Nekhoroshev's theorems

Alessandro Morbidelli, Antonio Giorgilli

Journal:

Physica D: Nonlinear Phenomena

Année:

1995

Langue:

english

Fichier:

PDF, 199 KB

english, 1995

17

Apparent fractal dimensions in conservative dynamical systems

Giancarlo Benettin, Danilo Casati, Luigi Galgani, Antonio Giorgilli, Luisella Sironi

Journal:

Physics Letters A

Année:

1986

Langue:

english

Fichier:

PDF, 380 KB

english, 1986

18

An efficient procedure to compute fractal dimensions by box counting

Antonio Giorgilli, Danilo Casati, Luisella Sironi, Luigi Galgani

Journal:

Physics Letters A

Année:

1986

Langue:

english

Fichier:

PDF, 330 KB

english, 1986

19

Exponential law for the equipartition times among translational and vibrational degrees of freedom

Giancarlo Benettin, Luigi Galgani, Antonio Giorgilli

Journal:

Physics Letters A

Année:

1987

Langue:

english

Fichier:

PDF, 424 KB

english, 1987

20

Classical electrodynamics as a nonlinear dynamical system

Luigi Galgani, Carlo Angaroni, Lia Forti, Antonio Giorgilli, Francesco Guerra

Journal:

Physics Letters A

Année:

1989

Langue:

english

Fichier:

PDF, 510 KB

english, 1989

21

Exponentially long times to equipartition in the thermodynamic limit

Luisa Berchialla, Antonio Giorgilli, Simone Paleari

Journal:

Physics Letters A

Année:

2004

Langue:

english

Fichier:

PDF, 196 KB

english, 2004

22

Classical constructive methods in KAM theory

Antonio Giorgilli

Journal:

Planetary and Space Science

Année:

1998

Langue:

english

Fichier:

PDF, 1.31 MB

english, 1998

23

On the role of high order resonances in normal forms and in separatrix splitting

Alessandro Morbidelli, Antonio Giorgilli

Journal:

Physica D: Nonlinear Phenomena

Année:

1997

Langue:

english

Fichier:

PDF, 902 KB

english, 1997

24

Some remarks on the problem of ergodicity of the Standard Map

A. Giorgilli, V.F. Lazutkin

Journal:

Physics Letters A

Année:

2000

Langue:

english

Fichier:

PDF, 453 KB

english, 2000

25

On the stability of the lagrangian points in the spatial restricted problem of three bodies

Alessandra Celletti, Antonio Giorgilli

Journal:

Celestial Mechanics and Dynamical Astronomy

Année:

1990-1991

Langue:

english

Fichier:

PDF, 1.29 MB

english, 1990-1991

26

On the dynamics in the asteroids belt. Part II: Detailed study of the main resonances

Alessandro Morbidelli, Antonio Giorgilli

Journal:

Celestial Mechanics and Dynamical Astronomy

Année:

1989-1990

Langue:

english

Fichier:

PDF, 1.27 MB

english, 1989-1990

27

On the dynamics in the asteroids belt. Part I : General theory

Alessandro Morbidelli, Antonio Giorgilli

Journal:

Celestial Mechanics and Dynamical Astronomy

Année:

1989-1990

Langue:

english

Fichier:

PDF, 1.38 MB

english, 1989-1990

28

Quantitative perturbation theory by successive elimination of harmonics

Alessandro Morbidelli, Antonio Giorgilli

Journal:

Celestial Mechanics and Dynamical Astronomy

Année:

1993

Langue:

english

Fichier:

PDF, 1.31 MB

english, 1993

29

On the numerical optimization of KAM estimates by classical perturbation theory

Alessandra Celletti, Antonio Giorgilli

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Année:

1988

Langue:

english

Fichier:

PDF, 269 KB

english, 1988

30

Estimates for normal forms of differential equations near an equilibrium point

Antonio Giorgilli, Andrea Posilicano

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Année:

1988

Langue:

english

Fichier:

PDF, 838 KB

english, 1988

31

Characterization of vibrational transition modes by use of normal forms

Sergio Abbate, Danila Ghisletti, Antonio Giorgilli, Laure Lespade, Giovanna Longhi

Journal:

Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta)

Année:

1993

Langue:

english

Fichier:

PDF, 945 KB

english, 1993

32

Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. Part II

Giancarlo Benettin, Luigi Galgani, Antonio Giorgilli

Journal:

Communications in Mathematical Physics

Année:

1989

Langue:

english

Fichier:

PDF, 2.59 MB

english, 1989

33

A Nekhoroshev-type theorem for Hamiltonian systems with infinitely many degrees of freedom

Giancarlo Benettin, Jürg Fröhlich, Antonio Giorgilli

Journal:

Communications in Mathematical Physics

Année:

1988

Langue:

english

Fichier:

PDF, 903 KB

english, 1988

34

Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. Part I

Giancarlo Benettin, Luigi Galgani, Antonio Giorgilli

Journal:

Communications in Mathematical Physics

Année:

1987

Langue:

english

Fichier:

PDF, 1.07 MB

english, 1987

35

A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems

Giancarlo Benettin, Luigi Galgani, Antonio Giorgilli

Journal:

Celestial Mechanics and Dynamical Astronomy

Année:

1985

Langue:

english

Fichier:

PDF, 1.03 MB

english, 1985

36

Rigorous estimates for the series expansions of Hamiltonian perturbation theory

Antonio Giorgilli, Luigi Galgani

Journal:

Celestial Mechanics and Dynamical Astronomy

Année:

1985

Langue:

english

Fichier:

PDF, 1.42 MB

english, 1985

37

Formal integrals for an autonomous Hamiltonian system near an equilibrium point

Antonio Giorgilli, Luigi Galgani

Journal:

Celestial Mechanics and Dynamical Astronomy

Année:

1978

Langue:

english

Fichier:

PDF, 1.05 MB

english, 1978

38

Bifurcations and complex instability in a 4-dimensional symplectic mapping

G. Contopoulos, A. Giorgilli

Journal:

Année:

1988

Langue:

english

Fichier:

PDF, 840 KB

english, 1988

39

Superexponential stability of KAM tori

Alessandro Morbidelli, Antonio Giorgilli

Journal:

Journal of Statistical Physics

Année:

1995

Langue:

english

Fichier:

PDF, 496 KB

english, 1995

40

On the Hamiltonian interpolation of near-to-the identity symplectic mappings with application to symplectic integration algorithms

Giancarlo Benettin, Antonio Giorgilli

Journal:

Journal of Statistical Physics

Année:

1994

Langue:

english

Fichier:

PDF, 956 KB

english, 1994

41

Small denominators and exponential stability: From Poincaré to the present time

Antonio Giorgilli

Journal:

Milan Journal of Mathematics

Année:

1998

Langue:

english

Fichier:

PDF, 1.77 MB

english, 1998

42

Kolmogorov theorem and classical perturbation theory

A. Giorgilli, U. Locatelli

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Année:

1997

Langue:

english

Fichier:

PDF, 556 KB

english, 1997

43

Kolmogorov and Nekhoroshev theory for the problem of three bodies

Antonio Giorgilli, Ugo Locatelli, Marco Sansottera

Journal:

Celestial Mechanics and Dynamical Astronomy

Année:

2009

Langue:

english

Fichier:

PDF, 253 KB

english, 2009

44

Cosmic Visions in Celestial Mechanics

Alessandra Celletti, Antonio Giorgilli, Ettore Perozzi, Sylvio Ferraz-Mello

Journal:

Celestial Mechanics and Dynamical Astronomy

Année:

2010

Langue:

english

Fichier:

PDF, 50 KB

english, 2010

45

A semi-analytic algorithm for constructing lower dimensional elliptic tori in planetary systems

Marco Sansottera, Ugo Locatelli, Antonio Giorgilli

Journal:

Celestial Mechanics and Dynamical Astronomy

Année:

2011

Langue:

english

Fichier:

PDF, 510 KB

english, 2011

46

Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem

Antonio Giorgilli, Amadeo Delshams, Ernest Fontich, Luigi Galgani, Carles Simó

Journal:

Journal of Differential Equations

Année:

1989

Langue:

english

Fichier:

PDF, 1.35 MB

english, 1989

47

Resonances and asymptotic behavior of Birkhoff series

G. Servizi, G. Turchetti, G. Benettin, A. Giorgilli

Journal:

Physics Letters A

Année:

1983

Langue:

english

Fichier:

PDF, 235 KB

english, 1983

48

A computer program for integrals of motion

Antonio Giorgilli

Journal:

Computer Physics Communications

Année:

1984

Langue:

english

Fichier:

PDF, 32 KB

english, 1984

49

Long Time Stability for the Main Problem of Artificial Satellites

Daniel Steichen, Antonio Giorgilli

Journal:

Celestial Mechanics and Dynamical Astronomy

Année:

1997

Langue:

english

Fichier:

PDF, 114 KB

english, 1997

50

Invariant Tori in the Secular Motions of the Three-body Planetary Systems

Ugo Locatelli, Antonio Giorgilli

Journal:

Celestial Mechanics and Dynamical Astronomy

Année:

2000

Langue:

english

Fichier:

PDF, 237 KB

english, 2000