{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,19]],"date-time":"2026-03-19T19:23:24Z","timestamp":1773948204102,"version":"3.50.1"},"reference-count":67,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2019,11,11]],"date-time":"2019-11-11T00:00:00Z","timestamp":1573430400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,11,11]],"date-time":"2019-11-11T00:00:00Z","timestamp":1573430400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100000781","name":"European Research Council","doi-asserted-by":"publisher","award":["677793"],"award-info":[{"award-number":["677793"]}],"id":[{"id":"10.13039\/501100000781","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Academy of Athens","award":["Research Committee Grant 200\/854"],"award-info":[{"award-number":["Research Committee Grant 200\/854"]}]},{"name":"Universita degli Studi di Padova","award":["CPDA149421\/14"],"award-info":[{"award-number":["CPDA149421\/14"]}]},{"DOI":"10.13039\/501100003407","name":"MIUR","doi-asserted-by":"crossref","award":["MIUR-PRIN 20178CJA2B"],"award-info":[{"award-number":["MIUR-PRIN 20178CJA2B"]}],"id":[{"id":"10.13039\/501100003407","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Nonlinear Sci"],"published-print":{"date-parts":[[2020,6]]},"DOI":"10.1007\/s00332-019-09594-9","type":"journal-article","created":{"date-parts":[[2019,11,11]],"date-time":"2019-11-11T12:03:21Z","timestamp":1573473801000},"page":"851-901","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Semi-analytic Computations of the Speed of Arnold Diffusion Along Single Resonances in A Priori Stable Hamiltonian Systems"],"prefix":"10.1007","volume":"30","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2793-6090","authenticated-orcid":false,"given":"Massimiliano","family":"Guzzo","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Christos","family":"Efthymiopoulos","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Roc\u00edo I.","family":"Paez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,11,11]]},"reference":[{"key":"9594_CR1","first-page":"581","volume":"6","author":"VI Arnold","year":"1964","unstructured":"Arnold, V.I.: Instability of dynamical systems with several degrees of freedom. Sov. Math. Dokl. 6, 581 (1964)","journal-title":"Sov. Math. Dokl."},{"key":"9594_CR2","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1007\/BF01011301","volume":"44","author":"G Benettin","year":"1985","unstructured":"Benettin, G., Gallavotti, G.: Stability of motions near resonances in quasi-integrable Hamiltonian systems. J. Stat. Phys. 44, 293 (1985)","journal-title":"J. Stat. Phys."},{"key":"9594_CR3","doi-asserted-by":"crossref","first-page":"1117","DOI":"10.1007\/BF02188219","volume":"73","author":"G Benettin","year":"1994","unstructured":"Benettin, G., Giorgilli, A.: On the Hamiltonian interpolation of near to the identity symplectic mappings, with application to symplectic integration algorithms. J. Stat. Phys. 73, 1117 (1994)","journal-title":"J. Stat. Phys."},{"key":"9594_CR4","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1016\/S0167-2789(97)00295-9","volume":"104","author":"G Benettin","year":"1997","unstructured":"Benettin, G., Carati, A., Gallavotti, G.: On the conservation of adiabatic invariants for a system of coupled rotators. Physica D 104, 253 (1997)","journal-title":"Physica D"},{"key":"9594_CR5","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1007\/s00220-004-1123-6","volume":"250","author":"G Benettin","year":"2004","unstructured":"Benettin, G., Fasso\u00e0nd, F., Guzzo, M.: Long-term stability of proper rotations of the Euler perturbed rigid body. Commun. Math. Phys. 250, 133 (2004)","journal-title":"Commun. Math. Phys."},{"key":"9594_CR6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11511-016-0141-5","volume":"217","author":"P Bernard","year":"2016","unstructured":"Bernard, P., Kaloshin, V., Zhang, K.: Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders. Acta Math. 217, 1 (2016)","journal-title":"Acta Math."},{"key":"9594_CR7","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1016\/S0294-1449(01)00084-1","volume":"19","author":"M Berti","year":"2002","unstructured":"Berti, M., Bolle, P.: A functional analysis approach to Arnold diffusion. Ann. Henri Poincar\u00e9 C: Non Linear Anal. 19, 395 (2002)","journal-title":"Ann. Henri Poincar\u00e9 C: Non Linear Anal."},{"key":"9594_CR8","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1016\/S0021-7824(03)00032-1","volume":"82","author":"M Berti","year":"2003","unstructured":"Berti, M., Biasco, L., Bolle, P.: Drift in phase space: a new variational mechanism with optimal diffusion time. J. Math. Pures Appl. 82, 613 (2003)","journal-title":"J. Math. Pures Appl."},{"key":"9594_CR9","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/S0021-7824(00)01188-0","volume":"80","author":"U Bessi","year":"2001","unstructured":"Bessi, U., Chierchia, L., Valdinoci, E.: Upper bounds on Arnold diffusion times via Mather theory. J. Math. Pures Appl. 80, 105 (2001)","journal-title":"J. Math. Pures Appl."},{"key":"9594_CR10","volume-title":"Asymptotic Expansions of Integrals","author":"N Bleistein","year":"1975","unstructured":"Bleistein, N., Handelman, R.A.: Asymptotic Expansions of Integrals. Holt, Rinehart and Winston, New York (1975)"},{"key":"9594_CR11","doi-asserted-by":"crossref","first-page":"181","DOI":"10.17323\/1609-4514-2014-14-2-181-203","volume":"14","author":"A Bounemoura","year":"2014","unstructured":"Bounemoura, A., Kaloshin, V.: Generic fast diffusion for a class of non-convex Hamiltonians with two degrees of freedom. Mosc. Math. J. 14, 181 (2014)","journal-title":"Mosc. Math. J."},{"key":"9594_CR12","unstructured":"Capinski, M., Gidea, M.: Diffusion, quantitative estimates and stochastic behavior in the three-body problem. arXiv:1812.03665 (2018)"},{"key":"9594_CR13","volume-title":"A Constructive Theory of Lagrangian Tori and Computer-Assisted Applications. Dynamics Reported, New Series","author":"A Celletti","year":"1995","unstructured":"Celletti, A., Chierchia, L.: A Constructive Theory of Lagrangian Tori and Computer-Assisted Applications. Dynamics Reported, New Series, vol. 4. Springer, Berlin (1995)"},{"key":"9594_CR14","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1007\/s002200050115","volume":"186","author":"A Celletti","year":"1997","unstructured":"Celletti, A., Chierchia, L.: On the stability of realistic three-body problems. Commun. Math. Phys. 186, 413 (1997)","journal-title":"Commun. Math. Phys."},{"key":"9594_CR15","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1007\/BF00728351","volume":"64","author":"A Celletti","year":"1996","unstructured":"Celletti, A., Ferrara, L.: An application of Nekhoroshev theorem to the restricted three-body problem. Celest. Mech. Dyn. Astron. 64, 261 (1996)","journal-title":"Celest. Mech. Dyn. Astron."},{"key":"9594_CR16","doi-asserted-by":"crossref","first-page":"229","DOI":"10.4310\/jdg\/1246888485","volume":"82","author":"C-Q Cheng","year":"2009","unstructured":"Cheng, C.-Q., Yan, J.: Arnold diffusion in hamiltonian systems: a priori unstable case. J. Differ. Geom. 82, 229 (2009)","journal-title":"J. Differ. Geom."},{"key":"9594_CR17","first-page":"1","volume":"60","author":"L Chierchia","year":"1994","unstructured":"Chierchia, L., Gallavotti, G.: Drift and diffusion in phase space. Ann. Inst. Henri Poincar\u00e9 60, 1 (1994)","journal-title":"Ann. Inst. Henri Poincar\u00e9"},{"key":"9594_CR18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s00222-011-0313-z","volume":"186","author":"L Chierchia","year":"2012","unstructured":"Chierchia, L., Pinzari, G.: The planetary N-body problem: symplectic foliation, reductions and invariant tori. Invent. math. 186, 1 (2012)","journal-title":"Invent. math."},{"key":"9594_CR19","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/0370-1573(79)90023-1","volume":"52","author":"BV Chirikov","year":"1979","unstructured":"Chirikov, B.V.: An universal instability of many dimensional oscillator system. Phys. Rep. 52, 263 (1979)","journal-title":"Phys. Rep."},{"key":"9594_CR20","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/j.physd.2013.10.005","volume":"266","author":"PM Cincotta","year":"2014","unstructured":"Cincotta, P.M., Efthymiopoulos, C., Giordano, C.M., Mestre, M.F.: Chirikov and Nekhoroshev diffusion estimates: bridging the two sides of the river. Physica D 266, 49 (2014)","journal-title":"Physica D"},{"key":"9594_CR21","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1007\/s002200050190","volume":"189","author":"A Delshams","year":"1997","unstructured":"Delshams, A., Gelfreich, V., Jorba, A., Seara, T.M.: Exponentially small splitting of separatrices under fast quasi-periodic forcing. Commun. Math. Phys. 189, 35 (1997)","journal-title":"Commun. Math. Phys."},{"key":"9594_CR22","first-page":"844","volume":"179","author":"A Delshams","year":"2006","unstructured":"Delshams, A., de la Llave, R., Seara, T.M.: A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: heuristics and rigorous verification on a model. Mem. Am. Math. Soc. 179, 844 (2006)","journal-title":"Mem. Am. Math. Soc."},{"key":"9594_CR23","doi-asserted-by":"crossref","first-page":"689","DOI":"10.1016\/j.aim.2015.11.010","volume":"294","author":"A Delshams","year":"2016","unstructured":"Delshams, A., de la Llave, R., Seara, T.M.: Instability of high dimensional Hamiltonian systems: multiple resonances do not impede diffusion. Adv. Math. 294, 689 (2016)","journal-title":"Adv. Math."},{"key":"9594_CR24","doi-asserted-by":"crossref","first-page":"1173","DOI":"10.1007\/s00220-018-3248-z","volume":"366","author":"A Delshams","year":"2019","unstructured":"Delshams, A., Kaloshin, V., De La Rosa, A., Seara, T.M.: Global instability in the restricted planar elliptic three body problem. Commun. Math. Phys. 366, 1173 (2019)","journal-title":"Commun. Math. Phys."},{"key":"9594_CR25","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1007\/s10569-008-9151-8","volume":"102","author":"C Efthymiopoulos","year":"2008","unstructured":"Efthymiopoulos, C.: On the connection between the Nekhoroshev theorem and Arnold diffusion. Celest. Mech. Dyn. Astron. 102, 49 (2008)","journal-title":"Celest. Mech. Dyn. Astron."},{"key":"9594_CR26","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1016\/j.physd.2013.01.016","volume":"251","author":"C Efthymiopoulos","year":"2013","unstructured":"Efthymiopoulos, C., Harsoula, M.: The speed of Arnold diffusion. Physica D 251, 19 (2013)","journal-title":"Physica D"},{"key":"9594_CR27","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1111\/j.1365-2966.2005.09572.x","volume":"364","author":"C Efthymiopoulos","year":"2005","unstructured":"Efthymiopoulos, C., S\u00e1ndor, Z.: Optimized Nekhoroshev stability estimates for the Trojan asteroids with a symplectic mapping model of co-orbital motion. Mon. Not. R. Astron. Soc. 364, 253 (2005)","journal-title":"Mon. Not. R. Astron. Soc."},{"key":"9594_CR28","volume-title":"Analysis and Modelling of Discrete Dynamical Systems","author":"C Efthymiopoulos","year":"1998","unstructured":"Efthymiopoulos, C., Voglis, N., Contopoulos, G.: Diffusion and transient spectra in 4-dimensional symplectic mapping. In: Benest, D., Froeschl\u00e9, C. (eds.) Analysis and Modelling of Discrete Dynamical Systems. Gordon and Breach Science Publishers, Amsterdam (1998)"},{"key":"9594_CR29","doi-asserted-by":"crossref","first-page":"1297","DOI":"10.1007\/s00220-019-03364-0","volume":"368","author":"A Enciso","year":"2019","unstructured":"Enciso, A., Luque, A., Peralta-Salas, D.: Stationary phase methods and the splitting of separatrices. Commun. Math. Phys. 368, 1297 (2019)","journal-title":"Commun. Math. Phys."},{"key":"9594_CR30","volume-title":"Asymptotic Expansions","author":"A Erd\u00e9lyi","year":"1956","unstructured":"Erd\u00e9lyi, A.: Asymptotic Expansions. Dover Publications, New York (1956)"},{"key":"9594_CR31","doi-asserted-by":"crossref","first-page":"2108","DOI":"10.1126\/science.289.5487.2108","volume":"289","author":"Cl Froeschl\u00e9","year":"2000","unstructured":"Froeschl\u00e9, Cl, Guzzo, M., Lega, E.: Graphical evolution of the Arnold web: from order to chaos. Science 289, 2108 (2000)","journal-title":"Science"},{"key":"9594_CR32","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1007\/s10569-004-3834-6","volume":"92","author":"Cl Froeschl\u00e9","year":"2005","unstructured":"Froeschl\u00e9, Cl, Guzzo, M., Lega, E.: Local and global diffusion along resonant lines in discrete quasi-integrable dynamical systems. Celest. Mech. Dyn. Astron 92, 243 (2005)","journal-title":"Celest. Mech. Dyn. Astron"},{"key":"9594_CR33","doi-asserted-by":"crossref","first-page":"4263","DOI":"10.1088\/1361-6544\/aacb8e","volume":"31","author":"V Gelfreich","year":"2018","unstructured":"Gelfreich, V., Vieiro, A.: Interpolating vector fields for near identity maps and averaging. Nonlinearity 31, 4263 (2018)","journal-title":"Nonlinearity"},{"key":"9594_CR34","doi-asserted-by":"crossref","first-page":"92","DOI":"10.1016\/j.physd.2012.10.001","volume":"243","author":"V Gelfreich","year":"2013","unstructured":"Gelfreich, V., Sim\u00f3, C., Vieiro, A.: Dynamics of 4D symplectic maps near a double resonance. Physica D 243, 92 (2013)","journal-title":"Physica D"},{"key":"9594_CR35","unstructured":"Gidea, M., Marco, J.P.: Diffusion along chains of normally hyperbolic cylinders. arXiv:1708.08314 (2017)"},{"key":"9594_CR36","doi-asserted-by":"crossref","first-page":"745","DOI":"10.1051\/0004-6361:20040153","volume":"423","author":"CM Giordano","year":"2004","unstructured":"Giordano, C.M., Cincotta, P.M.: Chaotic diffusion of orbits in systems with divided phase-space. Astron. Astrophys. 423, 745 (2004)","journal-title":"Astron. Astrophys."},{"key":"9594_CR37","first-page":"254","volume":"317","author":"A Giorgilli","year":"1997","unstructured":"Giorgilli, A., Skokos, C.: On the stability of the Trojan asteroids. Astron. Astrophys. 317, 254 (1997)","journal-title":"Astron. Astrophys."},{"key":"9594_CR38","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1016\/0022-0396(89)90161-7","volume":"77","author":"A Giorgilli","year":"1989","unstructured":"Giorgilli, A., Delshams, A., Fontich, E., Galgani, L., Sim\u00f3, C.: Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem. J. Differ. Equ. 77, 167 (1989)","journal-title":"J. Differ. Equ."},{"key":"9594_CR39","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1007\/s10569-009-9192-7","volume":"104","author":"A Giorgilli","year":"2009","unstructured":"Giorgilli, A., Locatelli, U., Sansottera, M.: Kolmogorov and Nekhoroshev theory for the problem of three bodies. Celest. Mech. Dyn. Astron. 104, 159 (2009)","journal-title":"Celest. Mech. Dyn. Astron."},{"key":"9594_CR40","doi-asserted-by":"crossref","first-page":"023124","DOI":"10.1063\/1.4807097","volume":"23","author":"M Guzzo","year":"2013","unstructured":"Guzzo, M., Lega, E.: The numerical detection of the Arnold web and its use for long-term diffusion studies in conservative and weakly dissipative systems. Chaos 23, 023124 (2013)","journal-title":"Chaos"},{"key":"9594_CR41","doi-asserted-by":"crossref","first-page":"707","DOI":"10.1134\/S1560354716060101","volume":"21","author":"M Guzzo","year":"2016","unstructured":"Guzzo, M., Lega, E.: The Nekhoroshev theorem and the observation of long-term diffusion in Hamiltonian systems. Regul. Chaotic Dyn. 21, 707 (2016)","journal-title":"Regul. Chaotic Dyn."},{"key":"9594_CR42","doi-asserted-by":"crossref","first-page":"687","DOI":"10.3934\/dcdsb.2005.5.687","volume":"5","author":"M Guzzo","year":"2005","unstructured":"Guzzo, M., Lega, E., Froeschl\u00e9, Cl: First numerical evidence of Arnold diffusion in quasi-integrable systems. Discrete Contin. Dyn. Syst. B 5, 687 (2005)","journal-title":"Discrete Contin. Dyn. Syst. B"},{"key":"9594_CR43","doi-asserted-by":"crossref","first-page":"557","DOI":"10.1007\/s00220-009-0846-9","volume":"290","author":"M Guzzo","year":"2009","unstructured":"Guzzo, M., Lega, E., Froeschl\u00e9, Cl: A numerical study of Arnold diffusion in a priori unstable systems. Commun. Math. Phys 290, 557 (2009)","journal-title":"Commun. Math. Phys"},{"key":"9594_CR44","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1063\/1.3603819","volume":"21","author":"M Guzzo","year":"2011","unstructured":"Guzzo, M., Lega, E., Froeschl\u00e9, Cl: First numerical investigation of a conjecture by N.N. Nekhoroshev about stability in quasi-integrable systems. Chaos 21, 3 (2011)","journal-title":"Chaos"},{"key":"9594_CR45","first-page":"293","volume":"25","author":"M Guzzo","year":"2014","unstructured":"Guzzo, M., Chierchia, L., Benettin, G.: The steep Nekhoroshev\u2019s theorem and optimal stability exponents (an announcement). Rend. Lincei-Mat. Appl. 25, 293 (2014)","journal-title":"Rend. Lincei-Mat. Appl."},{"key":"9594_CR46","doi-asserted-by":"crossref","first-page":"569","DOI":"10.1007\/s00220-015-2555-x","volume":"342","author":"M Guzzo","year":"2016","unstructured":"Guzzo, M., Chierchia, L., Benettin, G.: The steep Nekhoroshev\u2019s theorem. Commun. Math. Phys. 342, 569 (2016)","journal-title":"Commun. Math. Phys."},{"key":"9594_CR47","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1086\/109234","volume":"69","author":"M H\u00e9non","year":"1964","unstructured":"H\u00e9non, M., Heiles, C.: The applicability of the third integral of motion: some numerical experiments. Astron. J. 69, 73 (1964)","journal-title":"Astron. J."},{"key":"9594_CR48","doi-asserted-by":"crossref","first-page":"2699","DOI":"10.1088\/0951-7715\/28\/8\/2699","volume":"28","author":"V Kaloshin","year":"2015","unstructured":"Kaloshin, V., Zhang, K.: Arnold diffusion for smooth convex systems of two and a half degrees of freedom. Nonlinearity 28, 2699 (2015)","journal-title":"Nonlinearity"},{"key":"9594_CR49","unstructured":"Kaloshin, V., Zhang, K.: A strong form of Arnold diffusion for two and a half degrees of freedom. arXiv:1212.1150v3 (2018)"},{"key":"9594_CR50","doi-asserted-by":"crossref","first-page":"L715","DOI":"10.1088\/0305-4470\/23\/15\/004","volume":"23","author":"T Konishi","year":"1990","unstructured":"Konishi, T., Kaneko, K.: Diffusion in Hamiltonian chaos and its size dependence. J. Phys. A Math. Gen. 23, L715 (1990)","journal-title":"J. Phys. A Math. Gen."},{"key":"9594_CR51","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1016\/0167-2789(93)90210-R","volume":"67","author":"J Laskar","year":"1993","unstructured":"Laskar, J.: Frequency analysis for multi-dimensional systems. Global dynamics and diffusion. Physica D 67, 257 (1993)","journal-title":"Physica D"},{"key":"9594_CR52","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1016\/S0167-2789(03)00121-0","volume":"182","author":"E Lega","year":"2003","unstructured":"Lega, E., Guzzo, M., Froeschl\u00e9, Cl: Detection of Arnold diffusion in Hamiltonian systems. Physica D 182, 179 (2003)","journal-title":"Physica D"},{"key":"9594_CR53","doi-asserted-by":"crossref","first-page":"1165","DOI":"10.1111\/j.1365-2966.2007.12794.x","volume":"384","author":"Ch Lhotka","year":"2008","unstructured":"Lhotka, Ch., Efthymiopoulos, C., Dvorak, R.: Nekhoroshev stability at L4 or L5 in the elliptic restricted three-body problem: application to Trojan asteroids. Mon. Not. R. Astron. Soc. 384, 1165 (2008)","journal-title":"Mon. Not. R. Astron. Soc."},{"key":"9594_CR54","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1070\/RM1992v047n06ABEH000965","volume":"47","author":"P Lochak","year":"1992","unstructured":"Lochak, P.: Canonical perturbation theory via simultaneous approximations. Russ. Math. Surv. 47, 57 (1992)","journal-title":"Russ. Math. Surv."},{"key":"9594_CR55","doi-asserted-by":"crossref","first-page":"495","DOI":"10.1063\/1.165891","volume":"2","author":"P Lochak","year":"1992","unstructured":"Lochak, P., Neishtadt, A.: Estimates in the theorem of N. N. Nekhoroshev for systems with quasi-convex Hamiltonian. Chaos 2, 495 (1992)","journal-title":"Chaos"},{"key":"9594_CR56","volume-title":"Hamiltonian Dynamical Systems","author":"RS MacKay","year":"1987","unstructured":"MacKay, R.S., Meiss, J.D.: Hamiltonian Dynamical Systems. Adam Hilger IOP Publishing, Bristol (1987)"},{"key":"9594_CR57","first-page":"197","volume":"48","author":"AI Neishtdatd","year":"1984","unstructured":"Neishtdatd, A.I.: The separation of motions in systems with rapidly oscillating rotating phase. Prikl. Matem. Mekan. 48, 197 (1984)","journal-title":"Prikl. Matem. Mekan."},{"key":"9594_CR58","first-page":"133","volume":"48","author":"AI Neishtdatd","year":"1984","unstructured":"Neishtdatd, A.I.: The separation of motions in systems with rapidly oscillating rotating phase. PMM USSR 48, 133 (1984)","journal-title":"PMM USSR"},{"key":"9594_CR59","doi-asserted-by":"crossref","unstructured":"Nekhoroshev, N.N.: An exponential estimate of the time of stability of nearly integrable Hamiltonian systems\u2014I. Usp. Mat. Nauk 32; Russ. Math. Surv. 32, 1 (1977)","DOI":"10.1070\/RM1977v032n06ABEH003859"},{"key":"#cr-split#-9594_CR60.1","unstructured":"Nekhoroshev, N.N.: An exponential estimate of the time of stability of nearly integrable Hamiltonian systems-II, Tr. Semin. Petrovsk. 5, 5 (1979)"},{"key":"#cr-split#-9594_CR60.2","doi-asserted-by":"crossref","unstructured":"In: Oleinik, O.A. (ed.) Topics in Modern Mathematics, Petrovskii Semin. 5. Consultant Bureau, New York (1985)","DOI":"10.1007\/978-1-4684-1653-4"},{"key":"9594_CR61","doi-asserted-by":"crossref","first-page":"052701","DOI":"10.1063\/1.4986076","volume":"59","author":"G Pinzari","year":"2016","unstructured":"Pinzari, G.: On the co-existence of maximal and whiskered tori for the planetary three-body problem. J. Math. Phys. 59, 052701 (2016)","journal-title":"J. Math. Phys."},{"key":"9594_CR62","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1007\/BF03025718","volume":"213","author":"J P\u00f6schel","year":"1993","unstructured":"P\u00f6schel, J.: Nekhoroshev estimates for quasi-convex Hamiltonian systems. Math. Z. 213, 187 (1993)","journal-title":"Math. Z."},{"key":"9594_CR63","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/S0167-2789(97)00173-5","volume":"114","author":"M Rudnev","year":"1998","unstructured":"Rudnev, M., Wiggins, S.: Existence of exponentially small separatrix splittings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems. Physica D 114, 3 (1998)","journal-title":"Physica D"},{"key":"9594_CR64","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1007\/s10569-011-9369-8","volume":"110","author":"N Todorovi\u0107","year":"2011","unstructured":"Todorovi\u0107, N., Guzzo, M., Lega, E., Froeschl\u00e8, Cl: A numerical study of the stabilization effect of steepness. Celest. Mech. Dyn. Astron. 110, 389 (2011)","journal-title":"Celest. Mech. Dyn. Astron."},{"key":"9594_CR65","doi-asserted-by":"crossref","first-page":"1803","DOI":"10.1088\/0951-7715\/17\/5\/014","volume":"17","author":"D Treschev","year":"2004","unstructured":"Treschev, D.: Evolution of slow variables in a priori unstable Hamiltonian systems. Nonlinearity 17, 1803 (2004)","journal-title":"Nonlinearity"},{"key":"9594_CR66","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1007\/s00222-011-0319-6","volume":"186","author":"K Zhang","year":"2011","unstructured":"Zhang, K.: Speed of Arnold diffusion for analytic Hamiltonian systems. Invent. Math. 186, 255 (2011)","journal-title":"Invent. Math."}],"container-title":["Journal of Nonlinear Science"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00332-019-09594-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00332-019-09594-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00332-019-09594-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,10]],"date-time":"2020-11-10T00:13:56Z","timestamp":1604967236000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00332-019-09594-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,11,11]]},"references-count":67,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2020,6]]}},"alternative-id":["9594"],"URL":"https:\/\/doi.org\/10.1007\/s00332-019-09594-9","relation":{},"ISSN":["0938-8974","1432-1467"],"issn-type":[{"value":"0938-8974","type":"print"},{"value":"1432-1467","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,11,11]]},"assertion":[{"value":"14 December 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 October 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 November 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}