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ЖУРНАЛЫ // Nonlinearity

Nonlinearity, 2015, том 28, выпуск 7, страницы 2105–2130 (Mi nonli2)

Lagrangian tori near resonances of near-integrable Hamiltonian systems
A. G. Medvedev, A. I. Neishtadt, D. V. Treschev

Эта публикация цитируется в следующих статьяx:
  1. С. В. Болотин, О. Э. Зубелевич, В. В. Козлов, С. Б. Куксин, А. И. Нейштадт, “Дмитрий Валерьевич Трещев (к шестидесятилетию со дня рождения)”, УМН, 80:1 (2025), 165–170  mathnet  crossref [S. V. Bolotin, O. È. Zubelevich, V. V. Kozlov, S. B. Kuksin, A. I. Neishtadt, “Dmitrii Valer'evich Treschev (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 80:1 (2025), 165–170  mathnet]
  2. Laura Di Gregorio, Walter Lacarbonara, “Three-to-one internal resonances between acoustic and optical waves in metamaterials with nonlinear resonators”, Physica D: Nonlinear Phenomena, 481 (2025), 134748  crossref
  3. L. Biasco, L. Chierchia, “Global properties of generic real–analytic nearly–integrable Hamiltonian systems”, Journal of Differential Equations, 385 (2024), 325  crossref
  4. Xiaomei Yang, Junxiang Xu, “Persistence of Multiscale Degenerate Invariant Tori in Reversible Systems with Degenerate Frequency Mapping”, Regul. Chaotic Dyn., 29:4 (2024), 605–619  mathnet  crossref
  5. А. Г. Медведев, “О мере КАМ-торов в окрестности сепаратрисы”, Матем. сб., 215:6 (2024), 41–60  mathnet  crossref  mathscinet  zmath  adsnasa; A. G. Medvedev, “On the measure of the KAM-tori in a neighbourhood of a separatrix”, Sb. Math., 215:6 (2024), 755–774  crossref  isi
  6. Xiaodan Xu, Wen Si, Jianguo Si, “The p : q resonance for dissipative spin–orbit problem in celestial mechanics”, Z. Angew. Math. Phys., 75:6 (2024)  crossref
  7. Zhichao Ma, Junxiang Xu, “Response Solutions for Completely Degenerate Oscillators Under Arbitrary Quasi-Periodic Perturbations”, Commun. Math. Phys., 402:1 (2023), 1  crossref
  8. Luca Biasco, Luigi Chierchia, “Complex Arnol'd – Liouville Maps”, Regul. Chaotic Dyn., 28:4 (2023), 395–424  mathnet  crossref
  9. Xiaomei Yang, Junxiang Xu, Shunjun Jiang, “Persistence of Degenerate Lower Dimensional Invariant Tori with Prescribed Frequencies in Reversible Systems”, J Dyn Diff Equat, 35:1 (2023), 329  crossref
  10. Junxiang Xu, “Persistence of lower dimensional degenerate invariant tori with prescribed frequencies in Hamiltonian systems with small parameter”, Nonlinearity, 34:12 (2021), 8192  crossref
  11. Jordi-Lluís Figueras, Alex Haro, Alejandro Luque, “Effective bounds for the measure of rotations”, Nonlinearity, 33:2 (2020), 700  crossref
  12. L Biasco, L Chierchia, “On the topology of nearly-integrable Hamiltonians at simple resonances”, Nonlinearity, 33:7 (2020), 3526  crossref
  13. Laurent Niederman, Alexandre Pousse, Philippe Robutel, “On the Co-orbital Motion in the Three-Body Problem: Existence of Quasi-periodic Horseshoe-Shaped Orbits”, Commun. Math. Phys., 377:1 (2020), 551  crossref
  14. Junxiang Xu, Jiangong You, “Persistence of Hyperbolic-type Degenerate Lower-dimensional Invariant Tori with Prescribed Frequencies in Hamiltonian Systems”, Regul. Chaotic Dyn., 25:6 (2020), 616–650  mathnet  crossref  isi  scopus
  15. Alexander A. Karabanov, Albert D. Morozov, “On Resonances in Hamiltonian Systems with Three Degrees of Freedom”, Regul. Chaotic Dyn., 24:6 (2019), 628–648  mathnet  crossref  isi  scopus
  16. Weichao Qian, Yong Li, Xue Yang, “THE ISOENERGETIC KAM-TYPE THEOREM AT RESONANT CASE fOR NEARLY INTEGRABLE HAMILTONIAN SYSTEMS”, jaac, 9:5 (2019), 1616  crossref
  17. Abed Bounemoura, Bassam Fayad, Laurent Niederman, “Superexponential Stability of Quasi-Periodic Motion in Hamiltonian Systems”, Commun. Math. Phys., 350:1 (2017), 361  crossref
  18. Suddhasattwa Das, Yoshitaka Saiki, Evelyn Sander, James A Yorke, “Quantitative quasiperiodicity”, Nonlinearity, 30:11 (2017), 4111  crossref
  19. Michele Bartuccelli, Jonathan Deane, Guido Gentile, “Periodic and quasi-periodic attractors for the spin–orbit evolution of Mercury with a realistic tidal torque”, Monthly Notices of the Royal Astronomical Society, 469:1 (2017), 127  crossref
  20. Suddhasattwa Das, Chris B. Dock, Yoshitaka Saiki, Martin Salgado-Flores, Evelyn Sander, Jin Wu, James A. Yorke, “Measuring quasiperiodicity”, EPL, 114:4 (2016), 40005  crossref


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