Publications de Lega, E.

1. Celletti, A., Stefanelli, L., Lega, E. and Froeschlé, Cl., "Some results on the global dynamics of the regularized restricted three body problem with dissipation", Celestial Mechanics and Dynamical Astronomy, 109, pp. 265-284 (2011) (doi:10.1007/s10569-010-9326-y) (record:2685)


2. Guzzo, M. , Lega, E. and Froeschlé, Cl., "First numerical investigation of a conjecture by N. N. Nekhoroshev about stability in quasi-integrable systems.", Chaos, 21 Issue 3 (12 pages), p. 033101 (url) (2011) (doi:10.1063/1.3603819) (hal-00632654) (record:2842)


3. Lega, E., Guzzo, M. and Froeschlé, Cl., "Detection of close encounters and resonances in three-body problems through Levi-Civita regularization", Monthly Notices of the Royal Astronomical Society, 418, pp. 107-113 (url) (2011) (doi:10.1111/j.1365-2966.2011.19467.x) (hal-00632663) (record:2915)


4. Todorovic, N., Guzzo, M., Lega, E. and Froeschlé, Cl., "A numerical study of the stabilization effect of steepness", Celestial Mechanics and Dynamical Astronomy, 110, pp. 389-398 (url) (2011) (doi:10.1007/s10569-011-9369-8) (hal-00632688) (record:2914)


5. Todorovic, N., Guzzo, M., Lega, E. and Froeschlé, Cl., "On the long term stability of a 4 dimensional steep non convex map.", Celestial Mechanics and Dynamical Astronomy, sous presse (2011) (record:2843)


6. Lega, E., Guzzo, M. and Froeschlé, Cl., "A numerical study of the hyperbolic manifolds in a priori unstable systems. A comparison with Melnikov approximations.", Celestial Mechanics and Dynamical Astronomy, 107, pp. 115-127 (2010) (doi:10.1007/s10569-010-9265-7 ) (hal-00536426) (record:2412)


7. Lega, E., Guzzo, M. and Froeschlé, Cl., "A numerical study of the size of the homoclinic tangle of hyperbolic tori and its correlation with Arnold diffusion in Hamiltonian systems. ", Celestial Mechanics and Dynamical Astronomy, 107, pp. 129-144 (2010) (doi:10.1007/s10569-010-9264-8) (hal-00536427) (record:2260)


8. Guzzo, M., Lega, E. and Froeschlé, Cl., "A numerical study of the topology of hyperbolic manifolds supporting Arnold diffusion in a priori unstable systems.", Communications in Mathematical Physics, 290, pp. 557-576 (2009) (doi:10.1007/s00220-009-0846-9) (hal-00457402) (record:1518)


9. Guzzo, M., Lega, E. and Froeschlé, Cl., "A numerical study of the topology of normally hyperbolic invariant manifolds supporting Arnold diffusion in quasi-integrable systems.", Physica D Nonlinear Phenomena, 182, pp. 1797-1807 (2009) (doi:10.1016/j.physd.2009.06.009) (hal-00457403) (record:2085)


10. Lega, E., Guzzo, M. and Froeschlé, Cl., "Measure of the exponential splitting of the homoclinic tangle in four-dimensional symplectic mappings.", Celestial Mechanics and Dynamical Astronomy, 104, pp. 191-204 (2009) (doi:10.1007/s10569-009-9188-3) (hal-00457411) (record:2086)


11. Celletti, A., Lega, E. and Ferraz-Mello, S., "Preface", Celestial Mechanics and Dynamical Astronomy, 102, pp. 1-3 (url) (2008) (doi:10.1007/s10569-008-9157-2) (hal-00382467) (record:309)


12. Laveder, D., Cosentino, M., Lega, E. and Froeschlé, Cl., "Connectance and stability of nonlinear symplectic systems", Celestial Mechanics and Dynamical Astronomy, 102, pp. 3-12 (url) (2008) (doi:10.1007/s10569-008-9120-2) (hal-00382972) (record:281)


13. Namouni, F., Guzzo, M. and Lega, E., "On the integrability of stellar motion in an accelerated logarithmic potential", Astronomy and Astrophysics, 489, pp. 1363-1367 (url) (2008) (doi:10.1051/0004-6361:200810102) (hal-00382994) (record:257)


14. Paleari, S., Froeschlé, Cl. and Lega, E., "Global dynamical properties of the Fermi Pasta Ulam system", Celestial Mechanics and Dynamical Astronomy, 102, pp. 241-254 (url) (2008) (doi:10.1007/s10569-008-9138-5) (hal-00382997) (record:254)


15. Todorovic, N., Lega, E. and Froeschlé, Cl., "Local and global diffusion in the Arnold web of a priori unstable systems", Celestial Mechanics and Dynamical Astronomy, 102, pp. 13-27 (url) (2008) (doi:10.1007/s10569-008-9152-7) (hal-00383013) (record:238)


16. Celletti, A., Froeschlé, Cl. and Lega, E., "Dynamics of the conservative and dissipative spin orbit problem", Planetary and Space Science, 55, pp. 889-899 (url) (2007) (doi:10.1016/j.pss.2006.11.023) (hal-00388105) (record:169)


17. Celletti, A., Froeschlé, Cl. and Lega, E., "Dissipative and weakly dissipative regimes in nearly-integrable mappings", Discrete and continuous dynamical systems, A, 16, pp. 757-781 (2006) (hal-00388225) (record:1077)


18. Froeschlé, Cl., Lega, E. and Guzzo, M., "Analysis of the Chaotic Behaviour of Orbits Diffusing along the Arnold Web", Celestial Mechanics and Dynamical Astronomy, 95, pp. 141-153 (url) (2006) (doi:10.1007/s10569-006-9004-2) (hal-00388611) (record:73)


19. Guzzo, M., Lega, E. and Froeschlé, Cl., "Diffusion and stability in perturbed non-convex integrable systems", Nonlinearity, 19, pp. 1049-1067 (url) (2006) (doi:10.1088/0951-7715/19/5/003) (hal-00388613) (record:138)


20. Froeschlé, Cl., Guzzo, M. and Lega, E., "Local And Global Diffusion Along Resonant Lines in Discrete Quasi-integrable Dynamical Systems", Celestial Mechanics and Dynamical Astronomy, 92, pp. 243-255 (url) (2005) (doi:10.1007/s10569-004-3834-6) (record:3)


21. Guzzo, M., Lega, E. and Froeschlé, Cl., "First numerical evidence of global Arnold diffusion in quasi-integrable systems", Discrete and continuous dynamical systems, B, 5, pp. 687-698 (2005) (record:1076)


22. Celletti, A., Froeschlé, Cl. and Lega, E., "Frequency analysis of the stability of asteroids in the framework of the restricted three-body problem", Celestial Mechanics and Dynamical Astronomy, 90, pp. 245-266 (2004) (record:1074)


23. Froeschlé, Cl. and Lega, E., "On the diffusion along resonant lines in continuous and discrete dynamical systems", International Journal of Modern Physics B, 17, pp. 3964-3976 (2003) (record:1083)


24. Fouchard, M., Lega, E., Froeschlé, Ch. and Froeschlé, Cl., "On the relationship between Fast Lyapunov Indicator and Periodic Orbits for continuous flows", Celestial Mechanics and Dynamical Astronomy, 83, pp. 204-222 (2002) (record:566)


25. Fouchard, M., Lega, E., Froeschlé, Ch. and Froeschlé, Cl., "On the relationship between Lyapunov Indicator and periodic orbits for continuous flows", Celestial Mechanics and Dynamical Astronomy, 83, pp. 205-222 (2002) (record:568)


26. Guzzo, M., Lega, E. and Froeschlé, Cl., "On the numerical detection of the stability of chaotic motions in quasi-integrable systems", Physica D Nonlinear Phenomena, 163, pp. 1-25 (2002) (record:470)


27. Lega, E., Guzzo, M. and Froeschlé, Cl., "Detection of Arnold diffusion in Hamiltonian systems.", Physica D Nonlinear Phenomena, 182, pp. 179-187 (2002) (record:710)


28. Amendola, M., Gaffard, J., Froeschlé, Cl. and Lega, E., "Real wages, saving behaviour, employment and technological change: an out of equilibrium approach", Journal of Economic Behaviour and Organization, 46, pp. 1-22 (2001) (record:343)


29. Lega, E. and Froeschlé, Cl., "On the relationship between Fast Lyapunov Indicator and periodic orbits for sympletic mappings", Celestial Mechanics and Dynamical Astronomy, 81, pp. 129-147 (2001) (record:469)


30. Froeschlé, Cl., Guzzo, M. and Lega, E., "Graphical evolution of the Arnold's web: from order to chaos", Science, 289,, pp. 2108-2110 (2000) (record:467)


31. Froeschlé, Cl. and Lega, E., "An example of interplay between theoretical results on the structure of dynamical systems and numerical experiments based on mapping modelling", Nonlinear Phenomena and Complex Systems, 3, pp. 362-375 (2000) (record:350)


32. Froeschlé, Cl. and Lega, E., "On the structure of sympletic mappings. The Fast Lyapunov Indicator: a very sensitive tool", Celestial Mechanics and Dynamical Astronomy, 78, pp. 167-195 (2000) (record:468)


33. Froeschlé, Cl. and Lega, E., "Reestablishing equilibrium paths in a neo-austrian model: analysis of transitory regimes", Nonlinear Phenomena and Complex Systems, 3, pp. 153-170 (2000) (record:351)


34. Froeschlé, Cl., Lega, E. and Lohinger, E., "Connectance and stability. Application to linear and non linear dynamical systems with increasing number of degrees of freedom", Nonlinear Phenomena and Complex Systems, 3, pp. 247-252 (2000) (record:352)


35. Lega, E., Celletti, A., Della Penna, G. and Froeschlé, Cl., "On the computation of Lyapunov exponents for discrete time series. Applications to two dimensional sympletic and dissipative mappings.", International Journal of Bifurcation and Chaos, 10, pp. 2791-2805 (2000) (record:466)


36. Locatelli, U., Froeschlé, Cl., Lega, E. and Morbidelli, A., "On the relationship between the Bruno function and the breakdown of invariant tori", Physica D Nonlinear Phenomena, 139, pp. 48-71 (2000) (record:455)

1. Valsecchi, G.B., Lega, E. and Froeschlé, Cl., "Stream Lifetimes Against Planetary Encounters ", Metoroids: The Smallest Solar System Bodies, Meteoroids 2010 Conference, Breckenridge, Colorado, USA May 24–28, 2010 (2011) (record:2993)


2. Froeschlé, Cl., Guzzo, M. and Lega, E., "Local and global diffusion along resonant lines in continuous and discrete quasi integrable dynamical systems.", International conference on the dynamics of celestial bodies, ed. H. Varvoglis, Ferraz, Mello, S., Knesevic, Z., PAOB, Lithoro, Grece, 23-26 juin 2008, p. 86 (2009) (record:1513)


3. Amendola, M., Gaffard, J.L. and Lega, E., "Innovation, paradoxe de la productivité et chômage : les enseignements de l'approche néo-autrichienne", Y- a- t-il émergence d'un nouveau système technologique?, ed. J. Bourlès, Economica, Université Paris-Dauphine, 03/03/1998, p. 193 (1999) (record:465)

1. Lega, E., Guzzo, M. and Froeschlé, Cl., "Numerical Studies of hyperbolic manifolds supporting diffusion in symplectic mappings", La dynamique des systèmes gravitationnels: défis et perspectives., eds. D. Benest, Cl. Froeschlé and E. Lega, Springer, Diffusion and Dissipation in Quasi-Integrable Systems. Theory and application to Gravitational systems, Aussois, 28/06/2009- 04/07/2009, 186, pp. 3-32 (2010) (doi:10.1140/epjst/e2010-01258-3) (record:2686)

1. Benest, D., Froeschlé, Cl. and Lega, E., "Diffusion and Dissipation in Quasi-Integrable Systems. Theory and application to Gravitational systems", European Physical Journal,Special Topics, Springer, 186, 165 pages (2010) (doi:10.1140/epjst/e2010-01257-4) (record:2683)


2. Benest, D., Froeschlé, Cl. and Lega, E., "Un panorama général de l'Astronomie, de l'Antiquité à Hubble Space Telescope ", ed. CD des présentations de l'Ecole de Porquerolles 2010, ( 2010) (record:2910)


3. Cosentino, M., Laveder, D., Lega, E. and Froeschlé, Cl., "Connectance and Linear Stability of Dynamical Systems", Topics in gravitational dynamics, eds. D. Benest, Cl. Froeschlé and E. Lega, Springer, 729, pp. 91-108 (2007) , (record:1425)


4. Lega, E., Froeschlé, Cl. and Guzzo, M., "Diffusion in Hamiltonian quasi-integrable systems", Topics in gravitational dynamics, eds. D. Benest, Cl. Froeschlé and E. Lega, Springer, 729, pp. 1-26 (2007) , (record:1426)


5. Froeschlé, Cl. and Lega, E., "The fine structure of Hamiltonian systems revealed using the Fast Lyapunov Indicator", Chaotic worlds: from order to disorder in gravitational N-body dynamical systems, ed. B. Steves, al, Springer, 131, p. 165 (2006) , (record:1086)


6. Celletti, A., Froeschlé, Cl. and Lega, E., "From regular to chaotic motion through the work of Kolmogorov", The Kolmogorov legacy in Physics, eds. R. Livi and A. Vulpiani, Springer, 636, p. 246 (2003) , (record:1085)


7. Froeschlé, Cl., Guzzo, M. and Lega, E., "The Fast Lyapunov Indicator", The Restless Universe, eds. B.A. Steves and A.J. Maciejewski, The Scottish Universities Summer School in Physics, 1, p. 387 (2001) , (record:716)

1. Benest, D., Froeschlé, Cl. and Lega, E., "Le monde des galaxies - Histoire de l'Univers", CD des présentations de l'Ecole de Porquerolles (2009) (record:2342)


2. Benest, D., Froeschlé, Cl. and Lega, E., "Le monde des étoiles", CD des présentations de l'Ecole de Porquerolles (2008) (record:1609)


3. Benest, D., Froeschlé, Cl. and Lega, E., "Topics in gravitational dynamics - Solar, extra - solar and galactic systems", ed. Lecture Notes in Physics, Springer, 729, 414 pages (2008) (record:1610)


4. Celletti, A., Lega, E. and Ferraz-Mello, S., "Theory and Applications of Dynamical Systems.", eds. A. Celletti, E. Lega and S. Ferraz-Mello, Celestial Mechanics and Dynamical Astronomy, Springer , 102, 272 pages (2008) (record:1512)


5. Benest, D., Froeschlé, Cl. and Lega, E., "La révolution planétaire. Du système solaire aux planètes extra-solaires: Un panorama des théories de l'origine, de la formation et de la structure des systèmes planétaires.", CD des présentations de l'école de Porquerolles (2007) (record:1393)


6. Bonneau, D., Clausse, J.M., Mourad, D., Benest, D., Froeschlé, Cl. and Lega, E., "Un panorama général des techniques et des objectifs scientifiques de la Haute Résolution Angulaire Optique", CD des présentations de l'école de Porquerolles (2006) (record:1392)


7. Benest, D., Froeschlé, Cl. and Lega, E., "Hamiltonian systems and Fourier analysis - New prospects for gravitational dynamics", eds. V.G. Gurzadyan, J. Makino and G. Meylan, Advances in Astronomy and Astrophysics, Cambridge Scientific Publishers, 9, 330 pages (2005) (record:1036)

1. Lega, E., "Systèmes dynamiques et modélisation: un but et un outil. Applications à la cosmologie, à la mécanique céleste et à la macro-économie", Thèse d'Habilitation, Université de Nice Sophia Antipolis (2002) THESE (record:785).


2. Lega, E., "Analyse de la dynamique du modèle néo-autrichien de croissance. Etudes d'économies hors de l'équilibre.", Thèse de Doctorat, Université de Nice-Sophia Antipolis (2001) THESE (record:718).