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

Alessandra Celletti , Claude Froeschlé , Elena Lega
International journal of bifurcation and chaos in applied sciences and engineering , 2011, 06 (08), pp.1579-1585. ⟨10.1142/S0218127496000941⟩
Article dans une revue hal-03252695v1

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

Elena Lega , Gabriella Della Penna , Claude Froeschlé , Alessandra Celletti
International journal of bifurcation and chaos in applied sciences and engineering , 2011, 10 (12), pp.2791-2805. ⟨10.1142/S0218127400001857⟩
Article dans une revue hal-03252728v1

FAST LYAPUNOV INDICATORS. APPLICATION TO ASTEROIDAL MOTION

Claude Froeschlé , Elena Lega , Robert Gonczi
Celestial Mechanics and Dynamical Astronomy, 1997, 67 (1), pp.41-62. ⟨10.1023/A:1008276418601⟩
Article dans une revue istex hal-03252711v1

A Morphological Indicator for Comparing Simulated Cosmological Scenarios with Observations

Elena Lega , Albert Bijaoui , Jean-Michel Alimi
Astronomy and Astrophysics - A&A, 1996
Article dans une revue hal-03252688v1

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

E. Lega , M. Guzzo , Cl. Froeschlé
Celestial Mechanics and Dynamical Astronomy, 2010, 107, pp.129-144. ⟨10.1007/s10569-010-9264-8⟩
Article dans une revue istex hal-00536427v1

Evolution of the Tangent Vectors and Localization of the Stable and Unstable Manifolds of Hyperbolic Orbits by Fast Lyapunov Indicators

Claude Froeschlé , Massimiliano Guzzo , Elena Lega
SIAM Journal on Applied Mathematics, 2014, 74 (4), pp.1058-1086. ⟨10.1137/130930224⟩
Article dans une revue hal-03025586v1

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

Massimiliano Guzzo , Elena Lega , Claude Froeschlé
Physica D: Nonlinear Phenomena, 2002, 163 (1-2), pp.1-25. ⟨10.1016/S0167-2789(01)00383-9⟩
Article dans une revue istex hal-03025520v1

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

Ugo Locatelli , Claude Froeschlé , Elena Lega , Alessandro Morbidelli
Physica D: Nonlinear Phenomena, 2000, 139 (1-2), pp.48-71. ⟨10.1016/S0167-2789(99)00221-3⟩
Article dans une revue istex hal-03025512v1

Planetary Torque in 3D Isentropic Disks

Jeffrey Fung , Frédéric Masset , Elena Lega , David Velasco
The Astronomical Journal, 2017, 153 (3), pp.124. ⟨10.3847/1538-3881/153/3/124⟩
Article dans une revue hal-03252749v1

On the Stochasticity of the Asteroid Belt.

Claude Froeschlé , Robert Gonczi , Elena Lega , Ugo Locatelli
Celestial Mechanics and Dynamical Astronomy, 1997, 69 (1/2), pp.235-254. ⟨10.1023/A:1008346820842⟩
Article dans une revue istex hal-03252726v1

A Numerical Study of Arnold Diffusion in a Priori Unstable Systems

Massimiliano Guzzo , Elena Lega , Claude Froeschlé
Communications in Mathematical Physics, 2009, 290 (2), pp.557-576. ⟨10.1007/s00220-009-0846-9⟩
Article dans une revue istex hal-03252740v1
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A numerical study of the hyperbolic manifolds in a priori unstable systems. A comparison with Melnikov approximations

Elena Lega , Massimiliano Guzzo , Claude Froeschlé
Celestial Mechanics and Dynamical Astronomy, 2010, 107 (1-2), pp.115-127. ⟨10.1007/s10569-010-9265-7⟩
Article dans une revue istex hal-00552507v1
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Migration of Jupiter mass planets in discs with laminar accretion flows

Elena Lega , A. Morbidelli , R. Nelson , X. Ramos , A. Crida , et al.
Astronomy and Astrophysics - A&A, 2022, 658, pp.A32. ⟨10.1051/0004-6361/202141675⟩
Article dans une revue hal-03472360v1
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On the structure and mass delivery towards circumplanetary discs

Matthäus Schulik , Anders Johansen , Bertram Bitsch , Elena Lega , Michiel Lambrechts
Astronomy and Astrophysics - A&A, 2020, 642, pp.A187. ⟨10.1051/0004-6361/202037556⟩
Article dans une revue hal-03025362v1

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

Claude Froeschlé , Elena Lega
International Journal of Modern Physics B, 2012, 17 (22n24), pp.3964-3976. ⟨10.1142/S0217979203023033⟩
Article dans une revue hal-03252735v1
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A study of the past dynamics of comet 67P/Churyumov-Gerasimenko with Fast Lyapunov Indicators

Massimiliano Guzzo , Elena Lega
Astronomy and Astrophysics - A&A, 2015, 579, pp.A79. ⟨10.1051/0004-6361/201525878⟩
Article dans une revue hal-01113202v2

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

M. Guzzo , E. Lega , Cl. Froeschlé
Physica D: Nonlinear Phenomena, 2009, 182, pp.1797-1807. ⟨10.1016/j.physd.2009.06.009⟩
Article dans une revue istex hal-00457403v1

On the integrability of stellar motion in an accelerated logarithmic potential

F. Namouni , M. Guzzo , E. Lega
Astronomy and Astrophysics - A&A, 2008, 489, pp.1363-1367. ⟨10.1051/0004-6361:200810102⟩
Article dans une revue hal-00382994v1
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Quasi-static contraction during runaway gas accretion onto giant planets

M. Lambrechts , E. Lega , R. Nelson , A. Crida , A. Morbidelli
Astronomy and Astrophysics - A&A, 2019, 630, pp.A82. ⟨10.1051/0004-6361/201834413⟩
Article dans une revue hal-02396657v1

The numerical detection of the Arnold web and its use for long-term diffusion studies in conservative and weakly dissipative systems

Massimiliano Guzzo , Elena Lega
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2013, 23 (2), pp.023124. ⟨10.1063/1.4807097⟩
Article dans une revue hal-03252743v1

Graphical Evolution of the Arnold Web: From Order to Chaos

Elena Lega , C. Froeschle
Science, 2000, 289 (5487), pp.2108-2110. ⟨10.1126/science.289.5487.2108⟩
Article dans une revue hal-03252729v1
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Geometric chaos indicators and computations of the spherical hypertube manifolds of the spatial circular restricted three-body problem

Massimiliano Guzzo , Elena Lega
2017
Pré-publication, Document de travail hal-01343970v2

Outwards migration for planets in stellar irradiated 3D discs

Elena Lega , A. Morbidelli , B. Bitsch , A. Crida , J. Szulágyi
Monthly Notices of the Royal Astronomical Society, 2015, 452 (2), pp.1717-1726. ⟨10.1093/mnras/stv1385⟩
Article dans une revue hal-03025468v1

The fast Lyapunov indicator: a simple tool to detect weak chaos. Application to the structure of the main asteroidal belt

Cl. Froeschlé , R. Gonczi , Elena Lega
Planetary and Space Science, 1997, 45 (7), pp.881-886. ⟨10.1016/S0032-0633(97)00058-5⟩
Article dans une revue istex hal-03252717v1

A numerical study of the topology of hyperbolic manifolds supporting Arnold diffusion in a priori unstable systems

M. Guzzo , E. Lega , Cl. Froeschlé
Communications in Mathematical Physics, 2009, 290, pp.557-576. ⟨10.1007/s00220-009-0846-9⟩
Article dans une revue istex hal-00457402v1

Preface

A. Celletti , E. Lega , S. Ferraz-Mello
Celestial Mechanics and Dynamical Astronomy, 2008, 102, pp.1-3. ⟨10.1007/s10569-008-9157-2⟩
Article dans une revue istex hal-00382467v1
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Migration of Jupiter-mass planets in low-viscosity discs

E. Lega , R. P. Nelson , A. Morbidelli , W. Kley , W. Béthune , et al.
Astronomy and Astrophysics - A&A, 2021, 646, pp.A166. ⟨10.1051/0004-6361/202039520⟩
Article dans une revue hal-03154032v1

Dissipative and weakly dissipative regimes in nearly-integrable mappings

A. Celletti , Cl. Froeschlé , E. Lega
Discrete and Continuous Dynamical Systems - Series S, 2006, 16, pp.757-781
Article dans une revue hal-00388225v1

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

Marc Fouchard , Elena Lega , Christiane Froeschlé , Claude Froeschlé
Celestial Mechanics and Dynamical Astronomy, 2002, 83 (1/4), pp.205-222. ⟨10.1023/A:1020199201070⟩
Article dans une revue istex hal-03252731v1

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

E. Lega , M. Guzzo , Cl. Froeschlé
Celestial Mechanics and Dynamical Astronomy, 2010, 107, pp.115-127. ⟨10.1007/s10569-010-9265-7⟩
Article dans une revue istex hal-00536426v1