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1

Stability of motions near resonances in quasi-integrable Hamiltonian systems

Giancarlo Benettin, Giovanni Gallavotti

Journal:

Journal of Statistical Physics

Year:

1986

Language:

english

File:

PDF, 1.70 MB

english, 1986

2

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:

Year:

1980

Language:

english

File:

PDF, 1.12 MB

english, 1980

3

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:

Year:

1980

Language:

english

File:

PDF, 939 KB

english, 1980

4

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)

Year:

1984

Language:

english

File:

PDF, 937 KB

english, 1984

5

Composition of Lie transforms with rigorous estimates and applications to Hamiltonian perturbation theory

Francesco Fassò, Giancarlo Benettin

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

1989

Language:

english

File:

PDF, 1.11 MB

english, 1989

6

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

Benettin, Giancarlo, Galgani, Luigi, Giorgilli, Antonio

Journal:

Year:

1984

File:

PDF, 316 KB

1984

7

The Gallavotti–Cohen Fluctuation Theorem for a Nonchaotic Model

S. Lepri, L. Rondoni, G. Benettin

Journal:

Journal of Statistical Physics

Year:

2000

Language:

english

File:

PDF, 334 KB

english, 2000

8

A study of the Fermi–Pasta–Ulam problem in dimension two

Benettin, Giancarlo, Gradenigo, Giacomo

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2008

Language:

english

File:

PDF, 2.30 MB

english, 2008

9

Kolmogorov entropy and numerical experiments

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

Journal:

Physical Review A

Year:

1976

Language:

english

File:

PDF, 1004 KB

english, 1976

10

Adiabatic invariants and trapping of a point charge in a strong nonuniform magnetic field

Benettin, G, Sempio, P

Journal:

Year:

1994

Language:

english

File:

PDF, 898 KB

english, 1994

11

Power-law behavior of Lyapunov exponents in some conservative dynamical systems

Giancarlo Benettin

Journal:

Physica D: Nonlinear Phenomena

Year:

1984

Language:

english

File:

PDF, 671 KB

english, 1984

12

Critical behaviour of invariant curves in the standard map: a perturbative approach

G. Benettin, G. Turchetti, G. Zanetti

Journal:

Physics Letters A

Year:

1984

Language:

english

File:

PDF, 144 KB

english, 1984

13

Apparent fractal dimensions in conservative dynamical systems

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

Journal:

Physics Letters A

Year:

1986

Language:

english

File:

PDF, 380 KB

english, 1986

14

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

Giancarlo Benettin, Luigi Galgani, Antonio Giorgilli

Journal:

Physics Letters A

Year:

1987

Language:

english

File:

PDF, 424 KB

english, 1987

15

On the numerical integration of FPU-like systems

G. Benettin, A. Ponno

Journal:

Physica D: Nonlinear Phenomena

Year:

2011

Language:

english

File:

PDF, 253 KB

english, 2011

16

On the conservation of adiabatic invariants for a system of coupled rotators

G. Benettin, A. Carati, F. Fassò

Journal:

Physica D: Nonlinear Phenomena

Year:

1997

Language:

english

File:

PDF, 737 KB

english, 1997

17

From Hamiltonian perturbation theory to symplectic integrators and back

Giancarlo Benettin, Francesco Fassò

Journal:

Applied Numerical Mathematics

Year:

1999

Language:

english

File:

PDF, 710 KB

english, 1999

18

Transition to stochasticity in a one-dimensional model of a radiant cavity

Giancarlo Benettin, Luigi Galgani

Journal:

Journal of Statistical Physics

Year:

1982

Language:

english

File:

PDF, 774 KB

english, 1982

19

Classical “freezing” of fast rotations. A numerical test of the Boltzmann-Jeans conjecture

Oscar Baldan, Giancarlo Benettin

Journal:

Journal of Statistical Physics

Year:

1991

Language:

english

File:

PDF, 886 KB

english, 1991

20

Classical “freezing” of plane rotations: A proof of the Boltzmann-Jeans conjecture

Giancarlo Benettin, Francesco Fassò

Journal:

Journal of Statistical Physics

Year:

1991

Language:

english

File:

PDF, 947 KB

english, 1991

21

On the Landau-Teller approximation for energy exchanges with fast degrees of freedom

Giancarlo Benettin, Andrea Carati, Paolo Sempio

Journal:

Journal of Statistical Physics

Year:

1993

Language:

english

File:

PDF, 770 KB

english, 1993

22

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

Year:

1989

Language:

english

File:

PDF, 2.59 MB

english, 1989

23

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

Giancarlo Benettin, Jürg Fröhlich, Antonio Giorgilli

Journal:

Communications in Mathematical Physics

Year:

1988

Language:

english

File:

PDF, 903 KB

english, 1988

24

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

Year:

1987

Language:

english

File:

PDF, 1.07 MB

english, 1987

25

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

Year:

1985

Language:

english

File:

PDF, 1.03 MB

english, 1985

26

On the Onsager-Yang-Value of the spontaneous magnetization

G. Benettin, G. Gallavotti, G. Jona-Lasinio, A. L. Stella

Journal:

Communications in Mathematical Physics

Year:

1973

Language:

english

File:

PDF, 494 KB

english, 1973

27

Towards a rigorous treatment of the Jeans-Landau-Teller method for the energy exchanges of harmonic oscillators

Andrea Carati, Giancarlo Benettin, Luigi Galgani

Journal:

Communications in Mathematical Physics

Year:

1992

Language:

english

File:

PDF, 702 KB

english, 1992

28

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

Year:

1994

Language:

english

File:

PDF, 956 KB

english, 1994

29

Long Term Stability of Proper Rotations of the Perturbed Euler Rigid Body

Giancarlo Benettin, Francesco Fasso, Massimiliano Guzzo

Journal:

Communications in Mathematical Physics

Year:

2004

Language:

english

File:

PDF, 639 KB

english, 2004

30

Nekhoroshev-Stability of Elliptic Equilibria of Hamiltonian Systems

Francesco Fassò, Massimiliano Guzzo, Giancarlo Benettin

Journal:

Communications in Mathematical Physics

Year:

1998

Language:

english

File:

PDF, 187 KB

english, 1998

31

Adiabatic chaos in the spin–orbit problem

Giancarlo Benettin, Massimiliano Guzzo, Valerio Marini

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2008

Language:

english

File:

PDF, 1.16 MB

english, 2008

32

The Fermi-Pasta-Ulam Problem: Scaling Laws vs. Initial Conditions

G. Benettin, R. Livi, A. Ponno

Journal:

Journal of Statistical Physics

Year:

2009

Language:

english

File:

PDF, 771 KB

english, 2009

33

Time-Scales to Equipartition in the Fermi–Pasta–Ulam Problem: Finite-Size Effects and Thermodynamic Limit

G. Benettin, A. Ponno

Journal:

Journal of Statistical Physics

Year:

2011

Language:

english

File:

PDF, 1.17 MB

english, 2011

34

Resonances and asymptotic behavior of Birkhoff series

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

Journal:

Physics Letters A

Year:

1983

Language:

english

File:

PDF, 235 KB

english, 1983

35

A comment on the reliability of the Toda criterion for the existence of a stochastic transition

G. Benettin, R. Brambilla, L. Galgani

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

1977

Language:

english

File:

PDF, 493 KB

english, 1977

36

Exponentially Long Equilibrium Times in a One-Dimensional Collisional Model of Classical Gas

Giancarlo Benettin, Poul Hjorth, Paolo Sempio

Journal:

Journal of Statistical Physics

Year:

1999

Language:

english

File:

PDF, 283 KB

english, 1999

37

Classical perturbation theory for systems of weakly coupled rotators

G. Benettin, L. Galgani, A. Giorgilli

Journal:

Il Nuovo Cimento B (1971-1996)

Year:

1985

Language:

english

File:

PDF, 731 KB

english, 1985

38

Numerical investigations on a chain of weakly coupled rotators in the light of classical perturbation theory

G. Benettin, L. Galgani, A. Giorgilli

Journal:

Il Nuovo Cimento B (1971-1996)

Year:

1985

Language:

english

File:

PDF, 760 KB

english, 1985

39

On the reliability of numerical studies of stochasticity I: Existence of time averages

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

Journal:

Il Nuovo Cimento B (1971-1996)

Year:

1966

Language:

english

File:

PDF, 667 KB

english, 1966

40

Further results on universal properties in conservative dynamical systems

G. Benettin, L. Galgani, A. Giorgilli

Journal:

Lettere Al Nuovo Cimento Series 2

Year:

1980

Language:

english

File:

PDF, 229 KB

english, 1980

41

On the reliability of numerical studies of stochasticity

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

Journal:

Il Nuovo Cimento B (1971-1996)

Year:

1967

Language:

english

File:

PDF, 1.13 MB

english, 1967

42

Planck’s formula for classical oscillators with stochasticity thresholds

L. Galgani, G. Benettin

Journal:

Lettere Al Nuovo Cimento Series 2

Year:

1982

Language:

english

File:

PDF, 204 KB

english, 1982

43

Universal properties in conservative dynamical systems

G. Benettin, C. Cercignani, L. Galgani, A. Giorgilli

Journal:

Lettere Al Nuovo Cimento Series 2

Year:

1980

Language:

english

File:

PDF, 211 KB

english, 1980

44

Duality and asymptotic behaviour of correlation functions in the two-dimensional Ising model

G. Benettin, G. Jona-Lasinio, A. Stella

Journal:

Lettere Al Nuovo Cimento Series 2

Year:

1972

Language:

english

File:

PDF, 191 KB

english, 1972

45

An extension of the Poincaré-Fermi theorem on the nonexistence of invariant manifolds in nearly integrable Hamiltonian systems

G. Benettin, G. Ferrari, L. Galgani, A. Giorgilli

Journal:

Il Nuovo Cimento B (1971-1996)

Year:

1982

Language:

english

File:

PDF, 621 KB

english, 1982

46

Complexes of transition metals with 1,8-naphthalene-bis(dimethylarsine)

Mario Benettin, Livia Sindellari, Maurizio Vidali, Renzo Ros

Journal:

Journal of Inorganic and Nuclear Chemistry

Year:

1975

Language:

english

File:

PDF, 219 KB

english, 1975

47

Fast rotations of the rigid body: a study by Hamiltonian perturbation theory. Part I

Benettin, Giancarlo, Fassò, Francesco

Journal:

Year:

1996

Language:

english

File:

PDF, 563 KB

english, 1996

48

A Changing-Chart Symplectic Algorithm for Rigid Bodies and Other Hamiltonian Systems on Manifolds

Benettin, Giancarlo, Cherubini, Anna Maria, Fassò, Francesco

Journal:

SIAM Journal on Scientific Computing

Year:

2001

Language:

english

File:

PDF, 239 KB

english, 2001

49

The Fermi-Pasta-Ulam Problem and Its Underlying Integrable Dynamics

G. Benettin, H. Christodoulidi, A. Ponno

Journal:

Journal of Statistical Physics

Year:

2013

Language:

english

File:

PDF, 1.18 MB

english, 2013

50

Kolmogorov entropy of a dynamical system with an increasing number of degrees of freedom

Benettin, G., Froeschle, C., Scheidecker, J. P.

Journal:

Physical Review A

Year:

1979

Language:

english

File:

PDF, 501 KB

english, 1979