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1

Numerical investigations of the structure around an invariant KAM torus using the frequency map analysis

Elena Lega, Claude Froeschlé

Journal:

Physica D: Nonlinear Phenomena

Year:

1996

Language:

english

File:

PDF, 959 KB

english, 1996

2

Numerical study of the stochasticity of dynamical systems with more than two degrees of freedom

Claude Froeschle, Jean-Paul Scheidecker

Journal:

Journal of Computational Physics

Year:

1973

Language:

english

File:

PDF, 729 KB

english, 1973

3

Monte Carlo modelling of cometary dynamics

Claude Froeschlé, Hans Rickman

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

1987-1988

Language:

english

File:

PDF, 1.77 MB

english, 1987-1988

4

A numerical study of the size of the homoclinic tangle of hyperbolic tori and its correlation with Arnold diffusion in Hamiltonian systems

Elena Lega, Massimiliano Guzzo, Claude Froeschlé

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2010

Language:

english

File:

PDF, 888 KB

english, 2010

5

Some results on the global dynamics of the regularized restricted three-body problem with dissipation

Alessandra Celletti, Letizia Stefanelli, Elena Lega, Claude Froeschlé

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2011

Language:

english

File:

PDF, 3.14 MB

english, 2011

6

Asteroids falling into the Sun

Farinella, Paolo, Froeschlé, Christiane, Froeschlé, Claude, Gonczi, Robert, Hahn, Gerhard, Morbidelli, Alessandro, Valsecchi, Giovanni B.

Journal:

Year:

1994

File:

PDF, 445 KB

1994

7

On the Structure of Symplectic Mappings. The Fast Lyapunov Indicator: a Very Sensitive Tool

Claude Froeschlé, Elena Lega

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2000

Language:

english

File:

PDF, 611 KB

english, 2000

8

ON THE COMPUTATION OF LYAPUNOV EXPONENTS FOR DISCRETE TIME SERIES: APPLICATIONS TO TWO-DIMENSIONAL SYMPLECTIC AND DISSIPATIVE MAPPINGS

LEGA, ELENA, PENNA, GABRIELLA DELLA, FROESCHLÉ, CLAUDE, CELLETTI, ALESSANDRA

Journal:

International Journal of Bifurcation and Chaos

Year:

2000

Language:

english

File:

PDF, 919 KB

english, 2000

9

The measure of chaos by the numerical analysis of the fundamental frequencies. Application to the standard mapping

Jacques Laskar, Claude Froeschlé, Alessandra Celletti

Journal:

Physica D: Nonlinear Phenomena

Year:

1992

Language:

english

File:

PDF, 1.01 MB

english, 1992

10

A numerical study of the topology of normally hyperbolic invariant manifolds supporting Arnold diffusion in quasi-integrable systems

Massimiliano Guzzo, Elena Lega, Claude Froeschlé

Journal:

Physica D: Nonlinear Phenomena

Year:

2009

Language:

english

File:

PDF, 5.14 MB

english, 2009

11

Dynamics of the conservative and dissipative spin–orbit problem

Alessandra Celletti, Claude Froeschlé, Elena Lega

Journal:

Planetary and Space Science

Year:

2007

Language:

english

File:

PDF, 3.97 MB

english, 2007

12

Comparison of convergence towards invariant distributions for rotation angles, twist angles and local Lyapunov characteristic numbers

Elena Lega, Claude Froeschlé

Journal:

Planetary and Space Science

Year:

1998

Language:

english

File:

PDF, 804 KB

english, 1998

13

Numerical investigation of the Break-down threshold for a restricted three-body problem

Alessandra Celletti, Claude Froeschlé

Journal:

Planetary and Space Science

Year:

1998

Language:

english

File:

PDF, 861 KB

english, 1998

14

On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems

Massimiliano Guzzo, Elena Lega, Claude Froeschlé

Journal:

Physica D: Nonlinear Phenomena

Year:

2002

Language:

english

File:

PDF, 1.76 MB

english, 2002

15

Detection of Arnold diffusion in Hamiltonian systems

Elena Lega, Massimiliano Guzzo, Claude Froeschlé

Journal:

Physica D: Nonlinear Phenomena

Year:

2003

Language:

english

File:

PDF, 515 KB

english, 2003

16

On the relationship between the Bruno function and the breakdown of invariant tori

Ugo Locatelli, Claude Froeschlé, Elena Lega, Alessandro Morbidelli

Journal:

Physica D: Nonlinear Phenomena

Year:

2000

Language:

english

File:

PDF, 341 KB

english, 2000

17

Polynomial approximation of Poincaré maps for hamiltonian systems

Claude Froeschlé, Elena Lega

Journal:

Earth, Moon, and Planets

Year:

1996

Language:

english

File:

PDF, 385 KB

english, 1996

18

On the relationship between Lyapunov times and macroscopic instability times

Alessandro Morbidelli, Claude Froeschlé

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

1995-1996

Language:

english

File:

PDF, 773 KB

english, 1995-1996

19

Cometary dynamics

Hans Rickman, Claude Froeschlé

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

1987-1988

Language:

english

File:

PDF, 1.82 MB

english, 1987-1988

20

On the stochasticity of Halley like comets

Claude Froeschlé, Robert Gonczi

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

1987-1988

Language:

english

File:

PDF, 509 KB

english, 1987-1988

21

A Numerical Study of Arnold Diffusion in a Priori Unstable Systems

Massimiliano Guzzo, Elena Lega, Claude Froeschlé

Journal:

Communications in Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 1.28 MB

english, 2009

22

Frequency analysis of the stability of asteroids in the framework of the restricted three-body problem

Alessandra Celletti, Claude Froeschlé, Elena Lega

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2004

Language:

english

File:

PDF, 207 KB

english, 2004

23

Local And Global Diffusion Along Resonant Lines in Discrete Quasi-integrable Dynamical Systems

Claude Froeschlé, Massimiliano Guzzo, Elena Lega

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2005

Language:

english

File:

PDF, 500 KB

english, 2005

24

Analysis of the Chaotic Behaviour of Orbits Diffusing along the Arnold Web

Claude Froeschlé, Elena Lega, Massimiliano Guzzo

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2006

Language:

english

File:

PDF, 1005 KB

english, 2006

25

Global dynamical properties of the Fermi–Pasta–Ulam system

Simone Paleari, Claude Froeschlé, Elena Lega

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2008

Language:

english

File:

PDF, 514 KB

english, 2008

26

Local and global diffusion in the Arnold web of a priori unstable systems

Nataša Todorović, Elena Lega, Claude Froeschlé

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2008

Language:

english

File:

PDF, 752 KB

english, 2008

27

Measure of the exponential splitting of the homoclinic tangle in four-dimensional symplectic mappings

Elena Lega, Massimiliano Guzzo, Claude Froeschlé

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2009

Language:

english

File:

PDF, 694 KB

english, 2009

28

A numerical study of the hyperbolic manifolds in a priori unstable systems. A comparison with Melnikov approximations

Elena Lega, Massimiliano Guzzo, Claude Froeschlé

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2010

Language:

english

File:

PDF, 1.48 MB

english, 2010

29

A numerical study of the stabilization effect of steepness

Nataša Todorović, Massimiliano Guzzo, Elena Lega, Claude Froeschlé

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2011

Language:

english

File:

PDF, 336 KB

english, 2011

30

Deterministic Behaviour of Short Time Series

Alessandra Celletti, Claude Froeschlé, Igor V. Tetko, Alessandro E.P. Villa

Journal:

Year:

1999

Language:

english

File:

PDF, 82 KB

english, 1999

31

Foreword

Daniel Benest, Claude Froeschlé

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

1998

File:

PDF, 65 KB

1998

32

FAST LYAPUNOV INDICATORS. APPLICATION TO ASTEROIDAL MOTION

CLAUDE FROESCHLÉ, ELENA LEGA, ROBERT GONCZI

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

1997

Language:

english

File:

PDF, 295 KB

english, 1997

33

On the Stochasticity of the Asteroid Belt

Claude Froeschlé, Robert Gonczi, Elena Lega, Ugo Locatelli

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

1997

File:

PDF, 957 KB

1997

34

on the relationship between fast lyapunov indicator and periodic orbits for symplectic mappings

Elena Lega, Claude Froeschlé

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2001

Language:

english

File:

PDF, 208 KB

english, 2001

35

Estimate of the Transition Value of Librational Invariant Curves

Alessandra Celletti, Gabriella Della Penna, Claude Froeschlé

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2002

Language:

english

File:

PDF, 155 KB

english, 2002

36

On the Relationship Between Fast Lyapunov Indicator and Periodic Orbits for Continuous Flows

Marc Fouchard, Elena Lega, Christiane Froeschlé, Claude Froeschlé

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2002

Language:

english

File:

PDF, 288 KB

english, 2002

37

Editorial

Daniel Benest, Claude Froeschlé, Elena Lega

Journal:

The European Physical Journal Special Topics

Year:

2010

Language:

english

File:

PDF, 62 KB

english, 2010

38

[Lecture Notes in Physics] Singularities in Gravitational Systems Volume 590 || Close Encounters in Öpik’s Theory

Benest, Daniel, Froeschlé, Claude

Year:

2002

Language:

english

File:

PDF, 992 KB

english, 2002

39

[Lecture Notes in Physics] Impacts on Earth Volume 505 || Concepts of Shock Waves

Benest, Daniel, Froeschlé, Claude

Year:

1998

Language:

english

File:

PDF, 904 KB

english, 1998

40

[Lecture Notes in Physics] Topics in Gravitational Dynamics Volume 729 ||

Benest, Daniel, Froeschle, Claude, Lega, Elena

Year:

2007

Language:

english

File:

PDF, 16.63 MB

english, 2007

41

[Lecture Notes in Physics] Singularities in Gravitational Systems Volume 590 || The Birkhoff and B 3 Regularizing Transformations

Benest, Daniel, Froeschlé, Claude

Year:

2002

Language:

english

File:

PDF, 696 KB

english, 2002

42

[Lecture Notes in Physics] Singularities in Gravitational Systems Volume 590 ||

Benest, Daniel, Froeschlé, Claude

Year:

2002

Language:

english

File:

PDF, 3.91 MB

english, 2002

43

On the Diffusion Along Resonant Lines in Continuous and Discrete Dynamical Systems

Froeschlé, Claude, Lega, Elena

Journal:

International Journal of Modern Physics B

Year:

2003

Language:

english

File:

PDF, 1.96 MB

english, 2003

44

Analytical Approximation of the Solution of the Dissipative Standard Map

Celletti, Alessandra, Penna, Gabriella Della, Froeschlé, Claude

Journal:

International Journal of Bifurcation and Chaos

Year:

1998

Language:

english

File:

PDF, 403 KB

english, 1998

45

ON THE DETERMINATION OF THE STOCHASTICITY THRESHOLD OF INVARIANT CURVES

CELLETTI, ALESSANDRA, FROESCHLÉ, CLAUDE

Journal:

International Journal of Bifurcation and Chaos

Year:

1995

Language:

english

File:

PDF, 484 KB

english, 1995

46

DETERMINATION OF THE FREQUENCY VECTOR IN THE FOUR-DIMENSIONAL STANDARD MAPPING

CELLETTI, ALESSANDRA, FROESCHLÉ, CLAUDE, LEGA, ELENA

Journal:

International Journal of Bifurcation and Chaos

Year:

1996

Language:

english

File:

PDF, 443 KB

english, 1996

47

[Lecture Notes in Physics] Singularities in Gravitational Systems Volume 590 || Singularities, Collisions and Regularization Theory

Benest, Daniel, Froeschlé, Claude

Year:

2002

Language:

english

File:

PDF, 733 KB

english, 2002

48

[Lecture Notes in Physics] Singularities in Gravitational Systems Volume 590 || The Levi-Civita, KS and Radial-Inversion Regularizing Transformations

Benest, Daniel, Froeschlé, Claude

Year:

2002

Language:

english

File:

PDF, 654 KB

english, 2002

49

[Lecture Notes in Physics] Singularities in Gravitational Systems Volume 590 || Collisions and Singularities in the n-body Problem

Benest, Daniel, Froeschlé, Claude

Year:

2002

Language:

english

File:

PDF, 599 KB

english, 2002

50

Diffusion and stability in perturbed non-convex integrable systems

Guzzo, Massimiliano, Lega, Elena, Froeschlé, Claude

Journal:

Year:

2006

Language:

english

File:

PDF, 1.69 MB

english, 2006