caa a22 4500 445863536 CHVBK 20180317145450.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s10569-011-9369-8 doi (NATIONALLICENCE)springer-10.1007/s10569-011-9369-8 A numerical study of the stabilization effect of steepness [Elektronische Daten] [Nataša Todorović, Massimiliano Guzzo, Elena Lega, Claude Froeschlé] We present the results of numerical experiments about the influence of steepness on the resonant structure, stability and diffusion in a 4-dimensional symplectic map. The map is designed so that by changing a parameter, we smoothly switch steepness on and off by the change of the so called steepness coefficients. In both cases we measure the diffusion coefficients of the actions within a resonance. According to Nekhoroshev theorem we find that, in the steep case, the diffusion coefficients are definitely smaller than in the non steep one, thus confirming the threshold effect of the steepness coefficients which comes from the proof of Nekhoroshev theorem. Springer Science+Business Media B.V., 2011 Nekhoroshev theorem nationallicence Steepness nationallicence Diffusion nationallicence Hamiltonian systems nationallicence Symplectic maps nationallicence Todorović Nataša Belgrade Astronomical Observatory, Volgina 7, P.O. Box 74, 11160, Belgrade, Serbia aut Guzzo Massimiliano Dipartimento di Matematica Pura ed Applicata, Via Trieste 63, 35121, Padova, Italy aut Lega Elena UNSA, UMR CNRS 6202 Cassiopée, Observatoire de Nice Bd. de l'Observatoire, B.P. 4229, 06304, Nice Cedex 4, France aut Froeschlé Claude UNSA, UMR CNRS 6202 Cassiopée, Observatoire de Nice Bd. de l'Observatoire, B.P. 4229, 06304, Nice Cedex 4, France aut Celestial Mechanics and Dynamical Astronomy Springer Netherlands 110/4(2011-08-01), 389-398 0923-2958 110:4<389 2011 110 10569 https://doi.org/10.1007/s10569-011-9369-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10569-011-9369-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Todorović Nataša Belgrade Astronomical Observatory, Volgina 7, P.O. Box 74, 11160, Belgrade, Serbia aut NATIONALLICENCE 700 1- Guzzo Massimiliano Dipartimento di Matematica Pura ed Applicata, Via Trieste 63, 35121, Padova, Italy aut NATIONALLICENCE 700 1- Lega Elena UNSA, UMR CNRS 6202 Cassiopée, Observatoire de Nice Bd. de l'Observatoire, B.P. 4229, 06304, Nice Cedex 4, France aut NATIONALLICENCE 700 1- Froeschlé Claude UNSA, UMR CNRS 6202 Cassiopée, Observatoire de Nice Bd. de l'Observatoire, B.P. 4229, 06304, Nice Cedex 4, France aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Springer Netherlands 110/4(2011-08-01), 389-398 0923-2958 110:4<389 2011 110 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer