Cheng, Hongyu; Wang, Shimin Response solutions to harmonic oscillators beyond multi-dimensional brjuno frequency. (English) Zbl 07327290 Commun. Pure Appl. Anal. 20, No. 2, 467-494 (2021). MSC: 70H08 37J40 34C15 PDF BibTeX XML Cite \textit{H. Cheng} and \textit{S. Wang}, Commun. Pure Appl. Anal. 20, No. 2, 467--494 (2021; Zbl 07327290) Full Text: DOI
Caracciolo, Chiara; Locatelli, Ugo Elliptic tori in FPU non-linear chains with a small number of nodes. (English) Zbl 07323690 Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105759, 23 p. (2021). MSC: 37J40 37N05 65P40 70H08 70H15 PDF BibTeX XML Cite \textit{C. Caracciolo} and \textit{U. Locatelli}, Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105759, 23 p. (2021; Zbl 07323690) Full Text: DOI
Guan, Xinyu; Si, Jianguo; Si, Wen Parabolic invariant tori in quasi-periodically forced skew-product maps. (English) Zbl 07303699 J. Differ. Equations 277, 234-274 (2021). MSC: 37J40 37E40 70K43 70H08 47B80 81Q10 37A20 37D25 PDF BibTeX XML Cite \textit{X. Guan} et al., J. Differ. Equations 277, 234--274 (2021; Zbl 07303699) Full Text: DOI
Arcostanzo, Marc The \(C^0\) integrability of symplectic twist maps without conjugate points. (English) Zbl 07282573 Ergodic Theory Dyn. Syst. 41, No. 1, 48-65 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J39 37J11 37J35 37J40 37E40 53D22 PDF BibTeX XML Cite \textit{M. Arcostanzo}, Ergodic Theory Dyn. Syst. 41, No. 1, 48--65 (2021; Zbl 07282573) Full Text: DOI
Wu, Yuan; Yuan, Xiaoping On the Kolmogorov theorem for some infinite-dimensional Hamiltonian systems of short range. (English) Zbl 1453.37071 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 202, Article ID 112120, 34 p. (2021). MSC: 37K55 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{Y. Wu} and \textit{X. Yuan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 202, Article ID 112120, 34 p. (2021; Zbl 1453.37071) Full Text: DOI
Bountis, Anastasios Complex dynamics and statistics of 1-D Hamiltonian lattices: long range interactions and supratransmission. (English) Zbl 07299253 Nonlinear Phenom. Complex Syst., Minsk 23, No. 2, 133-148 (2020). MSC: 37K60 37K55 37J40 37A50 37A60 82B20 PDF BibTeX XML Cite \textit{A. Bountis}, Nonlinear Phenom. Complex Syst., Minsk 23, No. 2, 133--148 (2020; Zbl 07299253) Full Text: DOI
Bauer, Sean; Petrov, Nikola P. Existence of KAM tori for presymplectic vector fields. (English) Zbl 07298206 Electron. J. Differ. Equ. 2020, Paper No. 126, 26 p. (2020). MSC: 37J40 37J39 70K43 70H08 PDF BibTeX XML Cite \textit{S. Bauer} and \textit{N. P. Petrov}, Electron. J. Differ. Equ. 2020, Paper No. 126, 26 p. (2020; Zbl 07298206) Full Text: Link
Yang, Di Hamiltonian perturbations at the second-order approximation. (English) Zbl 07285804 Ann. Henri Poincaré 21, No. 12, 3919-3937 (2020). MSC: 37K55 37K10 35Q53 37L50 PDF BibTeX XML Cite \textit{D. Yang}, Ann. Henri Poincaré 21, No. 12, 3919--3937 (2020; Zbl 07285804) Full Text: DOI
Si, Wen; Yi, Yingfei Completely degenerate responsive tori in Hamiltonian systems. (English) Zbl 1455.37048 Nonlinearity 33, No. 11, 6072-6098 (2020). MSC: 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{W. Si} and \textit{Y. Yi}, Nonlinearity 33, No. 11, 6072--6098 (2020; Zbl 1455.37048) Full Text: DOI
Pinzari, Gabriella Euler integral and perihelion librations. (English) Zbl 07273503 Discrete Contin. Dyn. Syst. 40, No. 12, 6919-6943 (2020). Reviewer: Predrag Punosevac (Pittsburgh) MSC: 70F15 37J35 34D10 PDF BibTeX XML Cite \textit{G. Pinzari}, Discrete Contin. Dyn. Syst. 40, No. 12, 6919--6943 (2020; Zbl 07273503) Full Text: DOI
Biasco, Luca; Chierchia, Luigi On the measure of KAM tori in two degrees of freedom. (English) Zbl 1456.37064 Discrete Contin. Dyn. Syst. 40, No. 12, 6635-6648 (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J39 37J35 70H08 70K43 PDF BibTeX XML Cite \textit{L. Biasco} and \textit{L. Chierchia}, Discrete Contin. Dyn. Syst. 40, No. 12, 6635--6648 (2020; Zbl 1456.37064) Full Text: DOI
Qian, Weichao; Li, Yong; Yang, Xue Melnikov’s conditions in matrices. (English) Zbl 1454.37058 J. Dyn. Differ. Equations 32, No. 4, 1779-1795 (2020). MSC: 37J40 70K43 70H08 PDF BibTeX XML Cite \textit{W. Qian} et al., J. Dyn. Differ. Equations 32, No. 4, 1779--1795 (2020; Zbl 1454.37058) Full Text: DOI
Sansottera, Marco; Danesi, V.; Penati, T.; Paleari, S. On the continuation of degenerate periodic orbits via normal form: lower dimensional resonant tori. (English) Zbl 1453.37059 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105360, 22 p. (2020). MSC: 37J40 37K55 70H08 70K43 PDF BibTeX XML Cite \textit{M. Sansottera} et al., Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105360, 22 p. (2020; Zbl 1453.37059) Full Text: DOI
Zhang, Dongfeng; Xu, Junxiang; Wu, Hao; Xu, Xindong On the reducibility of linear quasi-periodic systems with Liouvillean basic frequencies and multiple eigenvalues. (English) Zbl 07260120 J. Differ. Equations 269, No. 12, 10670-10716 (2020). MSC: 70H08 37J40 PDF BibTeX XML Cite \textit{D. Zhang} et al., J. Differ. Equations 269, No. 12, 10670--10716 (2020; Zbl 07260120) Full Text: DOI
Delshams, Amadeu; Gonchenko, Marina; Gutiérrez, Pere Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies. (English) Zbl 1450.37056 Commun. Math. Phys. 378, No. 3, 1931-1976 (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J20 37J25 37J06 70H08 PDF BibTeX XML Cite \textit{A. Delshams} et al., Commun. Math. Phys. 378, No. 3, 1931--1976 (2020; Zbl 1450.37056) Full Text: DOI
Anikin, A. Yu.; Dobrokhotov, S. Yu. Diophantine tori and pragmatic calculation of quasimodes for operators with integrable principal symbol. (English) Zbl 1452.37071 Russ. J. Math. Phys. 27, No. 3, 299-308 (2020). Reviewer: Luigi Rodino (Torino) MSC: 37K55 37J40 35J10 35S05 35S10 34L40 68W30 PDF BibTeX XML Cite \textit{A. Yu. Anikin} and \textit{S. Yu. Dobrokhotov}, Russ. J. Math. Phys. 27, No. 3, 299--308 (2020; Zbl 1452.37071) Full Text: DOI
Caracciolo, Chiara; Locatelli, Ugo Computer-assisted estimates for Birkhoff normal forms. (English) Zbl 07239846 J. Comput. Dyn. 7, No. 2, 425-460 (2020). MSC: 68V05 37J40 37N05 70F07 70H08 PDF BibTeX XML Cite \textit{C. Caracciolo} and \textit{U. Locatelli}, J. Comput. Dyn. 7, No. 2, 425--460 (2020; Zbl 07239846) Full Text: DOI
Si, Wen; Xu, Xiaodan; Si, Jianguo Almost-periodic bifurcations for one-dimensional degenerate vector fields. (English) Zbl 1447.37061 Dyn. Syst. 35, No. 2, 242-258 (2020). MSC: 37J40 37J20 70H08 PDF BibTeX XML Cite \textit{W. Si} et al., Dyn. Syst. 35, No. 2, 242--258 (2020; Zbl 1447.37061) Full Text: DOI
Modin, Klas; Verdier, Olivier What makes nonholonomic integrators work? (English) Zbl 1447.37068 Numer. Math. 145, No. 2, 405-435 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 37M15 65P10 37J60 37J40 70F25 37N30 65D30 37J35 PDF BibTeX XML Cite \textit{K. Modin} and \textit{O. Verdier}, Numer. Math. 145, No. 2, 405--435 (2020; Zbl 1447.37068) Full Text: DOI
Fayad, B.; Sauzin, D. KAM tori are no more than sticky. (English) Zbl 1447.37060 Arch. Ration. Mech. Anal. 237, No. 3, 1177-1211 (2020). MSC: 37J40 70H08 PDF BibTeX XML Cite \textit{B. Fayad} and \textit{D. Sauzin}, Arch. Ration. Mech. Anal. 237, No. 3, 1177--1211 (2020; Zbl 1447.37060) Full Text: DOI
Pinzari, Gabriella Perihelion librations in the secular three-body problem. (English) Zbl 1453.70006 J. Nonlinear Sci. 30, No. 4, 1771-1808 (2020). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 70F10 70F15 34C20 34D10 37J25 37J35 37J40 PDF BibTeX XML Cite \textit{G. Pinzari}, J. Nonlinear Sci. 30, No. 4, 1771--1808 (2020; Zbl 1453.70006) Full Text: DOI
Biasco, L.; Chierchia, L. On the topology of nearly-integrable Hamiltonians at simple resonances. (English) Zbl 07211423 Nonlinearity 33, No. 7, 3526-3567 (2020). MSC: 37J39 37J35 37J40 70H08 PDF BibTeX XML Cite \textit{L. Biasco} and \textit{L. Chierchia}, Nonlinearity 33, No. 7, 3526--3567 (2020; Zbl 07211423) Full Text: DOI
Bialy, Misha; Mironov, Andrey E.; Shalom, Lior Magnetic billiards: non-integrability for strong magnetic field; Gutkin type examples. (English) Zbl 07210386 J. Geom. Phys. 154, Article ID 103716, 13 p. (2020). MSC: 37J40 37J30 37J35 PDF BibTeX XML Cite \textit{M. Bialy} et al., J. Geom. Phys. 154, Article ID 103716, 13 p. (2020; Zbl 07210386) Full Text: DOI
Niederman, Laurent; Pousse, Alexandre; Robutel, Philippe On the co-orbital motion in the three-body problem: existence of quasi-periodic horseshoe-shaped orbits. (English) Zbl 1439.70018 Commun. Math. Phys. 377, No. 1, 551-612 (2020). MSC: 70F07 70H08 37J40 37J46 PDF BibTeX XML Cite \textit{L. Niederman} et al., Commun. Math. Phys. 377, No. 1, 551--612 (2020; Zbl 1439.70018) Full Text: DOI
Kaloshin, Vadim; Zhang, Ke Arnold diffusion for smooth systems of two and a half degrees of freedom. (English) Zbl 07206768 Annals of Mathematics Studies 208. Princeton, NJ: Princeton University Press (ISBN 978-0-691-20253-2/hbk; 978-0-691-20252-5/pbk; 978-0-691-20493-2/ebook). xiii, 204 p. (2020). MSC: 37-02 70-02 37Jxx 70Hxx 70Kxx PDF BibTeX XML Cite \textit{V. Kaloshin} and \textit{K. Zhang}, Arnold diffusion for smooth systems of two and a half degrees of freedom. Princeton, NJ: Princeton University Press (2020; Zbl 07206768) Full Text: DOI
Bambusi, Dario; Stolovitch, Laurent Convergence to normal forms of integrable PDEs. (English) Zbl 1445.37051 Commun. Math. Phys. 376, No. 2, 1441-1470 (2020). Reviewer: Arsen Melikyan (Brasília) MSC: 37K55 37K10 35B20 58J37 35Q55 35Q51 35Q53 PDF BibTeX XML Cite \textit{D. Bambusi} and \textit{L. Stolovitch}, Commun. Math. Phys. 376, No. 2, 1441--1470 (2020; Zbl 1445.37051) Full Text: DOI
Koudjinan, C. E. A KAM theorem for finitely differentiable Hamiltonian systems. (English) Zbl 07206551 J. Differ. Equations 269, No. 6, 4720-4750 (2020). Reviewer: Stefano Marò (Pisa) MSC: 37J40 37J06 37J25 70H08 PDF BibTeX XML Cite \textit{C. E. Koudjinan}, J. Differ. Equations 269, No. 6, 4720--4750 (2020; Zbl 07206551) Full Text: DOI
Guzzo, Massimiliano; Efthymiopoulos, Christos; Paez, Rocío I. Semi-analytic computations of the speed of Arnold diffusion along single resonances in a priori stable Hamiltonian systems. (English) Zbl 1443.37047 J. Nonlinear Sci. 30, No. 3, 851-901 (2020). Reviewer: Xiang Zhang (Shanghai) MSC: 37J40 37J25 37J35 70H08 70H09 PDF BibTeX XML Cite \textit{M. Guzzo} et al., J. Nonlinear Sci. 30, No. 3, 851--901 (2020; Zbl 1443.37047) Full Text: DOI
Hu, Shengqing Persistence of invariant tori for almost periodically forced reversible systems. (English) Zbl 1441.37065 Discrete Contin. Dyn. Syst. 40, No. 7, 4497-4518 (2020). MSC: 37J40 70K43 70H08 70H12 34C11 PDF BibTeX XML Cite \textit{S. Hu}, Discrete Contin. Dyn. Syst. 40, No. 7, 4497--4518 (2020; Zbl 1441.37065) Full Text: DOI
Marò, Stefano Diffusion and chaos in a bouncing ball model. (English) Zbl 07194649 Z. Angew. Math. Phys. 71, No. 3, Paper No. 78, 18 p. (2020). MSC: 37J40 37E40 70H08 70K55 PDF BibTeX XML Cite \textit{S. Marò}, Z. Angew. Math. Phys. 71, No. 3, Paper No. 78, 18 p. (2020; Zbl 07194649) Full Text: DOI
Houwe, Alphonse; Justin, Mibaile; Dikwa, Jérôme; Betchewe, Gambo; Doka, Serge Y.; Crepin, Kofane Timoleon Exact soliton solutions for the perturbed nonlinear Schrödingers equation in left-handed metamaterials. (English) Zbl 1441.35220 Asian-Eur. J. Math. 13, No. 2, Article ID 2050036, 8 p. (2020). MSC: 35Q55 35G20 34G20 35B20 78A60 35C07 35C08 33E05 37K10 PDF BibTeX XML Cite \textit{A. Houwe} et al., Asian-Eur. J. Math. 13, No. 2, Article ID 2050036, 8 p. (2020; Zbl 1441.35220) Full Text: DOI
Qian, Weichao; Li, Yong; Yang, Xue Persistence of Lagrange invariant tori at tangent degeneracy. (English) Zbl 1437.37073 J. Differ. Equations 268, No. 9, 5078-5112 (2020). MSC: 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{W. Qian} et al., J. Differ. Equations 268, No. 9, 5078--5112 (2020; Zbl 1437.37073) Full Text: DOI
Gidea, Marian; La Llave, Rafael De; M-Seara, Tere A general mechanism of diffusion in Hamiltonian systems: qualitative results. (English) Zbl 1437.37072 Commun. Pure Appl. Math. 73, No. 1, 150-209 (2020). Reviewer: Manuel de León (Madrid) MSC: 37J40 37J06 37J25 37J35 70F07 70H08 70H09 PDF BibTeX XML Cite \textit{M. Gidea} et al., Commun. Pure Appl. Math. 73, No. 1, 150--209 (2020; Zbl 1437.37072) Full Text: DOI
Qian, Weichao; Li, Yong; Yang, Xue The isoenergetic KAM-type theorem at resonant case for nearly integrable Hamiltonian systems. (English) Zbl 07334278 J. Appl. Anal. Comput. 9, No. 5, 1616-1638 (2019). MSC: 37J40 PDF BibTeX XML Cite \textit{W. Qian} et al., J. Appl. Anal. Comput. 9, No. 5, 1616--1638 (2019; Zbl 07334278) Full Text: DOI
Penati, T.; Koukouloyannis, V.; Sansottera, M.; Kevrekidis, P. G.; Paleari, S. On the nonexistence of degenerate phase-shift multibreathers in Klein-Gordon models with interactions beyond nearest neighbors. (English) Zbl 1453.37067 Physica D 398, 92-114 (2019). MSC: 37K40 37K60 37K55 37M05 37M20 PDF BibTeX XML Cite \textit{T. Penati} et al., Physica D 398, 92--114 (2019; Zbl 1453.37067) Full Text: DOI
Pinzari, Gabriella A first integral to the partially averaged Newtonian potential of the three-body problem. (English) Zbl 1448.70022 Celest. Mech. Dyn. Astron. 131, No. 5, Paper No. 22, 30 p. (2019). MSC: 70F07 70H09 34A05 34C20 37J06 37J40 PDF BibTeX XML Cite \textit{G. Pinzari}, Celest. Mech. Dyn. Astron. 131, No. 5, Paper No. 22, 30 p. (2019; Zbl 1448.70022) Full Text: DOI
Bounemoura, Abed; Féjoz, Jacques KAM, \(\alpha\)-Gevrey regularity and the \(\alpha\)-Bruno-Rüssmann condition. (English) Zbl 07224201 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 19, No. 4, 1225-1279 (2019). MSC: 70H08 70H09 26E10 37C75 37J40 PDF BibTeX XML Cite \textit{A. Bounemoura} and \textit{J. Féjoz}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 19, No. 4, 1225--1279 (2019; Zbl 07224201) Full Text: DOI
Zhang, Dongfeng; Xu, Xindong On the linearization of vector fields on a torus with prescribed frequency. (English) Zbl 1455.37049 Topol. Methods Nonlinear Anal. 54, No. 2A, 649-663 (2019). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 37J40 34C27 70H08 70K43 PDF BibTeX XML Cite \textit{D. Zhang} and \textit{X. Xu}, Topol. Methods Nonlinear Anal. 54, No. 2A, 649--663 (2019; Zbl 1455.37049) Full Text: DOI Euclid
Kordyukov, Yu. A.; Taimanov, I. A. Trace formula for the magnetic Laplacian. (English. Russian original) Zbl 1433.58019 Russ. Math. Surv. 74, No. 2, 325-361 (2019); translation from Usp. Mat. Nauk 74, No. 2, 149-186 (2019). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 58J05 58J50 37J35 58J37 81Q20 PDF BibTeX XML Cite \textit{Yu. A. Kordyukov} and \textit{I. A. Taimanov}, Russ. Math. Surv. 74, No. 2, 325--361 (2019; Zbl 1433.58019); translation from Usp. Mat. Nauk 74, No. 2, 149--186 (2019) Full Text: DOI
Chierchia, L.; Koudjinan, C. E. V. I. Arnold’s “Pointwise” KAM theorem. (English) Zbl 1435.37085 Regul. Chaotic Dyn. 24, No. 6, 583-606 (2019). MSC: 37J40 37J06 37J25 70H08 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{C. E. Koudjinan}, Regul. Chaotic Dyn. 24, No. 6, 583--606 (2019; Zbl 1435.37085) Full Text: DOI
Zhu, Kun; Wu, Yuhang; Yu, Zanping; Shen, Jianhe New solitary wave solutions in a perturbed generalized BBM equation. (English) Zbl 1430.37088 Nonlinear Dyn. 97, No. 4, 2413-2423 (2019). MSC: 37K40 37K10 35B25 35C08 PDF BibTeX XML Cite \textit{K. Zhu} et al., Nonlinear Dyn. 97, No. 4, 2413--2423 (2019; Zbl 1430.37088) Full Text: DOI
Grekov, A. M.; Dotsenko, E. I. Real forms of elliptic integrable systems. (English. Russian original) Zbl 1428.70035 Theor. Math. Phys. 199, No. 1, 513-524 (2019); translation from Teor. Mat. Fiz. 199, No. 1, 47-59 (2019). MSC: 70H06 37J40 PDF BibTeX XML Cite \textit{A. M. Grekov} and \textit{E. I. Dotsenko}, Theor. Math. Phys. 199, No. 1, 513--524 (2019; Zbl 1428.70035); translation from Teor. Mat. Fiz. 199, No. 1, 47--59 (2019) Full Text: DOI
Sadovskií, Dmitrií A.; Zhilinskií, Boris I. Monodromy in non-integrable systems on certain compact classical phase spaces. (English) Zbl 1428.81140 Phys. Lett., A 383, No. 5, 452-457 (2019). MSC: 81V55 37J35 37N20 PDF BibTeX XML Cite \textit{D. A. Sadovskií} and \textit{B. I. Zhilinskií}, Phys. Lett., A 383, No. 5, 452--457 (2019; Zbl 1428.81140) Full Text: DOI
Guardia, Marcel; Hani, Zaher; Haus, Emanuele; Maspero, Alberto; Procesi, Michela A note on growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation. (English) Zbl 1427.35254 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 4, 865-880 (2019). MSC: 35Q55 37K55 37K60 PDF BibTeX XML Cite \textit{M. Guardia} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 4, 865--880 (2019; Zbl 1427.35254) Full Text: DOI
Ballesteros, Ángel; Blasco, Alfonso; Herranz, Francisco J. Curvature as an integrable deformation. (English) Zbl 1428.70034 Kuru, Şengül (ed.) et al., Integrability, supersymmetry and coherent states. A volume in honour of Professor Véronique Hussin. In part selected contributions from the 6th international workshop on new challenges in quantum mechanics: integrability and supersymmetry, Valladolid, Spain, June 27–30, 2017. Cham: Springer. CRM Ser. Math. Phys., 1-35 (2019). MSC: 70H06 81R12 PDF BibTeX XML Cite \textit{Á. Ballesteros} et al., in: Integrability, supersymmetry and coherent states. A volume in honour of Professor Véronique Hussin. In part selected contributions from the 6th international workshop on new challenges in quantum mechanics: integrability and supersymmetry, Valladolid, Spain, June 27--30, 2017. Cham: Springer. 1--35 (2019; Zbl 1428.70034) Full Text: DOI
Christov, Ognyan Near-integrability of periodic Klein-Gordon lattices. (English) Zbl 1425.37040 Symmetry 11, No. 4, Paper No. 475, 21 p. (2019). MSC: 37J40 70H06 70H08 37N05 PDF BibTeX XML Cite \textit{O. Christov}, Symmetry 11, No. 4, Paper No. 475, 21 p. (2019; Zbl 1425.37040) Full Text: DOI arXiv
Afzal, Muhammad; Guo, Shuzheng; Piao, Daxiong On the reducibility of a class of linear almost periodic Hamiltonian systems. (English) Zbl 1422.37038 Qual. Theory Dyn. Syst. 18, No. 2, 723-738 (2019). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J45 70H08 70H12 37J40 PDF BibTeX XML Cite \textit{M. Afzal} et al., Qual. Theory Dyn. Syst. 18, No. 2, 723--738 (2019; Zbl 1422.37038) Full Text: DOI
Trogdon, Thomas; Biondini, Gino Evolution partial differential equations with discontinuous data. (English) Zbl 1428.35649 Q. Appl. Math. 77, No. 4, 689-726 (2019). MSC: 35Q99 65M99 37L50 42B20 37K10 PDF BibTeX XML Cite \textit{T. Trogdon} and \textit{G. Biondini}, Q. Appl. Math. 77, No. 4, 689--726 (2019; Zbl 1428.35649) Full Text: DOI
Genovese, Giuseppe; Lucà, Renato; Valeri, Daniele Invariant measures for the periodic derivative nonlinear Schrödinger equation. (English) Zbl 1420.35354 Math. Ann. 374, No. 3-4, 1075-1138 (2019). MSC: 35Q55 35Q30 37K05 37L50 37K10 37K30 17B69 17B80 76X05 PDF BibTeX XML Cite \textit{G. Genovese} et al., Math. Ann. 374, No. 3--4, 1075--1138 (2019; Zbl 1420.35354) Full Text: DOI arXiv
Joshi, N.; Lustri, C. J. Generalized solitary waves in a finite-difference Korteweg-De Vries equation. (English) Zbl 1418.35324 Stud. Appl. Math. 142, No. 3, 359-384 (2019). MSC: 35Q53 35C08 35B40 35B25 37K10 37K60 PDF BibTeX XML Cite \textit{N. Joshi} and \textit{C. J. Lustri}, Stud. Appl. Math. 142, No. 3, 359--384 (2019; Zbl 1418.35324) Full Text: DOI
Gallavotti, Giovanni Quasiperiodic Hamiltonian motions, scale invariance, harmonic oscillators. (English) Zbl 1456.70032 J. Math. Phys. 60, No. 6, 062901, 9 p. (2019). MSC: 70H08 37J40 37F25 70J25 42A20 PDF BibTeX XML Cite \textit{G. Gallavotti}, J. Math. Phys. 60, No. 6, 062901, 9 p. (2019; Zbl 1456.70032) Full Text: DOI
Ryabov, P. E. Bifurcations of Liouville tori in a system of two vortices of positive intensity in a Bose-Einstein condensate. (English. Russian original) Zbl 1416.37052 Dokl. Math. 99, No. 2, 225-229 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 6, 670-675 (2019). MSC: 37J20 37J35 37J40 70E40 70K43 PDF BibTeX XML Cite \textit{P. E. Ryabov}, Dokl. Math. 99, No. 2, 225--229 (2019; Zbl 1416.37052); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 6, 670--675 (2019) Full Text: DOI
Cheng, Chong-Qing The genericity of Arnold diffusion in nearly integrable Hamiltonian systems. (English) Zbl 1417.37211 Asian J. Math. 23, No. 3, 401-438 (2019). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J40 70H08 PDF BibTeX XML Cite \textit{C.-Q. Cheng}, Asian J. Math. 23, No. 3, 401--438 (2019; Zbl 1417.37211) Full Text: DOI arXiv
Massetti, Jessica Elisa Normal forms for perturbations of systems possessing a Diophantine invariant torus. (English) Zbl 1443.37048 Ergodic Theory Dyn. Syst. 39, No. 8, 2176-2222 (2019). Reviewer: Stefano Marò (Pisa) MSC: 37J40 70H08 37N05 PDF BibTeX XML Cite \textit{J. E. Massetti}, Ergodic Theory Dyn. Syst. 39, No. 8, 2176--2222 (2019; Zbl 1443.37048) Full Text: DOI arXiv
Corsi, Livia; Feola, Roberto; Procesi, Michela Finite dimensional invariant KAM tori for tame vector fields. (English) Zbl 1420.37108 Trans. Am. Math. Soc. 372, No. 3, 1913-1983 (2019). MSC: 37K55 37J40 70K43 70H08 PDF BibTeX XML Cite \textit{L. Corsi} et al., Trans. Am. Math. Soc. 372, No. 3, 1913--1983 (2019; Zbl 1420.37108) Full Text: DOI arXiv
Lazzarini, Laurent; Marco, Jean-Pierre; Sauzin, David Measure and capacity of wandering domains in Gevrey near-integrable exact symplectic systems. (English) Zbl 1442.37003 Memoirs of the American Mathematical Society 1235. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3492-2/pbk; 978-1-4704-4953-7/ebook). vi, 110 p. (2019). MSC: 37-02 37J11 37J39 37J25 37J40 53D05 53D22 70H08 70H09 PDF BibTeX XML Cite \textit{L. Lazzarini} et al., Measure and capacity of wandering domains in Gevrey near-integrable exact symplectic systems. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1442.37003) Full Text: DOI arXiv
Li, Xuemei; Shang, Zaijiu On the existence of invariant tori in non-conservative dynamical systems with degeneracy and finite differentiability. (English) Zbl 1418.37100 Discrete Contin. Dyn. Syst. 39, No. 7, 4225-4257 (2019). Reviewer: Stefano Marò (Pisa) MSC: 37J40 70K43 70H08 PDF BibTeX XML Cite \textit{X. Li} and \textit{Z. Shang}, Discrete Contin. Dyn. Syst. 39, No. 7, 4225--4257 (2019; Zbl 1418.37100) Full Text: DOI
Xu, Lu; Yi, Yingfei Lower dimension tori of general types in multi-scale Hamiltonian systems. (English) Zbl 1416.37058 Nonlinearity 32, No. 6, 2226-2245 (2019). Reviewer: Wolfgang G. Hollik (Karlsruhe) MSC: 37J40 37J45 70H08 37N05 70F15 70F10 PDF BibTeX XML Cite \textit{L. Xu} and \textit{Y. Yi}, Nonlinearity 32, No. 6, 2226--2245 (2019; Zbl 1416.37058) Full Text: DOI
Yin, Hui-Min; Tian, Bo; Hu, Cong-Cong; Zhao, Xin-Chao Chaotic motions for a perturbed nonlinear Schrödinger equation with the power-law nonlinearity in a nano optical fiber. (English) Zbl 1414.35215 Appl. Math. Lett. 93, 139-146 (2019). MSC: 35Q55 78A60 35B20 37K10 PDF BibTeX XML Cite \textit{H.-M. Yin} et al., Appl. Math. Lett. 93, 139--146 (2019; Zbl 1414.35215) Full Text: DOI
Hu, Shengqing; Liu, Bin Completely degenerate lower-dimensional invariant tori for Hamiltonian system. (English) Zbl 1415.37082 J. Differ. Equations 266, No. 11, 7459-7480 (2019). MSC: 37J40 70H08 PDF BibTeX XML Cite \textit{S. Hu} and \textit{B. Liu}, J. Differ. Equations 266, No. 11, 7459--7480 (2019; Zbl 1415.37082) Full Text: DOI
de la Llave, Rafael; Sire, Yannick An a posteriori KAM theorem for whiskered tori in Hamiltonian partial differential equations with applications to some ill-posed equations. (English) Zbl 1407.37108 Arch. Ration. Mech. Anal. 231, No. 2, 971-1044 (2019). MSC: 37K55 70H08 37J40 PDF BibTeX XML Cite \textit{R. de la Llave} and \textit{Y. Sire}, Arch. Ration. Mech. Anal. 231, No. 2, 971--1044 (2019; Zbl 1407.37108) Full Text: DOI arXiv
Haro, Alex; Luque, Alejandro A-posteriori KAM theory with optimal estimates for partially integrable systems. (English) Zbl 06987672 J. Differ. Equations 266, No. 2-3, 1605-1674 (2019). MSC: 37J40 37J35 PDF BibTeX XML Cite \textit{A. Haro} and \textit{A. Luque}, J. Differ. Equations 266, No. 2--3, 1605--1674 (2019; Zbl 06987672) Full Text: DOI arXiv
Qian, Weichao; Li, Yong; Yang, Xue Multiscale KAM theorem for Hamiltonian systems. (English) Zbl 1401.37066 J. Differ. Equations 266, No. 1, 70-86 (2019). MSC: 37J40 70H08 PDF BibTeX XML Cite \textit{W. Qian} et al., J. Differ. Equations 266, No. 1, 70--86 (2019; Zbl 1401.37066) Full Text: DOI
Kaloshin, Vadim; Zhang, Ke Dynamics of the dominant Hamiltonian. (English. French summary) Zbl 1417.37214 Bull. Soc. Math. Fr. 146, No. 3, 517-574 (2018). Reviewer: Giuseppe Gaeta (Milano) MSC: 37J40 37J50 37J15 70H08 70K30 70K70 PDF BibTeX XML Cite \textit{V. Kaloshin} and \textit{K. Zhang}, Bull. Soc. Math. Fr. 146, No. 3, 517--574 (2018; Zbl 1417.37214) Full Text: DOI
Yamanaka, Shogo Local integrability of Poincaré-Dulac normal forms. (English) Zbl 1416.37053 Regul. Chaotic Dyn. 23, No. 7-8, 933-947 (2018). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J30 37J40 37J35 37J20 PDF BibTeX XML Cite \textit{S. Yamanaka}, Regul. Chaotic Dyn. 23, No. 7--8, 933--947 (2018; Zbl 1416.37053) Full Text: DOI
Bäcker, Arnd; Meiss, James D. Moser’s quadratic, symplectic map. (English) Zbl 1416.37057 Regul. Chaotic Dyn. 23, No. 6, 654-664 (2018). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 37J40 70H08 34C28 37C05 37J10 PDF BibTeX XML Cite \textit{A. Bäcker} and \textit{J. D. Meiss}, Regul. Chaotic Dyn. 23, No. 6, 654--664 (2018; Zbl 1416.37057) Full Text: DOI arXiv
Bolsinov, Alexey; Guglielmi, Lorenzo; Kudryavtseva, Elena Symplectic invariants for parabolic orbits and cusp singularities of integrable systems. (English) Zbl 1407.37096 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2131, Article ID 20170424, 29 p. (2018). MSC: 37J40 PDF BibTeX XML Cite \textit{A. Bolsinov} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2131, Article ID 20170424, 29 p. (2018; Zbl 1407.37096) Full Text: DOI
Li, Hepeng The almost-periodic solutions of the weakly coupled pendulum equations. (English) Zbl 1446.70038 Adv. Difference Equ. 2018, Paper No. 157, 22 p. (2018). MSC: 70H12 34C15 37J40 70H08 PDF BibTeX XML Cite \textit{H. Li}, Adv. Difference Equ. 2018, Paper No. 157, 22 p. (2018; Zbl 1446.70038) Full Text: DOI
Oshemkov, A. A.; Tuzhilin, M. A. Integrable perturbations of saddle singularities of rank 0 of integrable Hamiltonian systems. (English. Russian original) Zbl 1408.37096 Sb. Math. 209, No. 9, 1351-1375 (2018); translation from Mat. Sb. 209, No. 9, 102-127 (2018). MSC: 37J35 37G10 37J40 37J25 PDF BibTeX XML Cite \textit{A. A. Oshemkov} and \textit{M. A. Tuzhilin}, Sb. Math. 209, No. 9, 1351--1375 (2018; Zbl 1408.37096); translation from Mat. Sb. 209, No. 9, 102--127 (2018) Full Text: DOI
Pnueli, Michal; Rom-Kedar, Vered On near integrability of some impact systems. (English) Zbl 1405.37067 SIAM J. Appl. Dyn. Syst. 17, No. 4, 2707-2732 (2018). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J40 37J25 70H07 70H08 70H09 74M20 PDF BibTeX XML Cite \textit{M. Pnueli} and \textit{V. Rom-Kedar}, SIAM J. Appl. Dyn. Syst. 17, No. 4, 2707--2732 (2018; Zbl 1405.37067) Full Text: DOI arXiv
Gidea, Marian; de la Llave, Rafael Global Melnikov theory in Hamiltonian systems with general time-dependent perturbations. (English) Zbl 1405.37065 J. Nonlinear Sci. 28, No. 5, 1657-1707 (2018). Reviewer: Giuseppe Gaeta (Milano) MSC: 37J40 37C50 37C29 34C37 70H08 70H09 PDF BibTeX XML Cite \textit{M. Gidea} and \textit{R. de la Llave}, J. Nonlinear Sci. 28, No. 5, 1657--1707 (2018; Zbl 1405.37065) Full Text: DOI
Wang, Bingfeng; Shi, Yanling; Jiang, Shunjun Gevrey-smoothness of elliptic lower dimensional invariant tori in Hamiltonian systems. (English) Zbl 1402.37072 Qual. Theory Dyn. Syst. 17, No. 2, 345-366 (2018). MSC: 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{B. Wang} et al., Qual. Theory Dyn. Syst. 17, No. 2, 345--366 (2018; Zbl 1402.37072) Full Text: DOI
Palacián, J. F.; Vidal, C.; Vidarte, J.; Yanguas, P. Dynamics in the charged restricted circular three-body problem. (English) Zbl 1435.37090 J. Dyn. Differ. Equations 30, No. 4, 1757-1774 (2018). Reviewer: Yulianna Perepelkina (Moskva) MSC: 37J46 37J40 37J20 37J25 70K65 70H08 70F07 70K43 53D20 PDF BibTeX XML Cite \textit{J. F. Palacián} et al., J. Dyn. Differ. Equations 30, No. 4, 1757--1774 (2018; Zbl 1435.37090) Full Text: DOI
Ding, Zhaodong; Shang, Zaijiu Numerical invariant tori of symplectic integrators for integrable Hamiltonian systems. (English) Zbl 1400.37068 Sci. China, Math. 61, No. 9, 1567-1588 (2018). MSC: 37J40 37J35 65L07 65L20 65P10 65P40 37J10 70K43 PDF BibTeX XML Cite \textit{Z. Ding} and \textit{Z. Shang}, Sci. China, Math. 61, No. 9, 1567--1588 (2018; Zbl 1400.37068) Full Text: DOI arXiv
Messias, Marcelo; Reinol, Alisson C. On the existence of periodic orbits and KAM tori in the Sprott A system: a special case of the Nosé-Hoover oscillator. (English) Zbl 1398.70048 Nonlinear Dyn. 92, No. 3, 1287-1297 (2018). MSC: 70K65 70K42 70H08 PDF BibTeX XML Cite \textit{M. Messias} and \textit{A. C. Reinol}, Nonlinear Dyn. 92, No. 3, 1287--1297 (2018; Zbl 1398.70048) Full Text: DOI
Broer, Henk; Hanßmann, Heinz; Wagener, Florian Persistence properties of normally hyperbolic Tori. (English) Zbl 1400.37067 Regul. Chaotic Dyn. 23, No. 2, 212-225 (2018). MSC: 37J40 37G35 37J20 70H08 PDF BibTeX XML Cite \textit{H. Broer} et al., Regul. Chaotic Dyn. 23, No. 2, 212--225 (2018; Zbl 1400.37067) Full Text: DOI
Kaloshin, Vadim; Zhang, Ke Density of convex billiards with rational caustics. (English) Zbl 1400.37043 Nonlinearity 31, No. 11, 5214-5234 (2018). MSC: 37D50 37J40 37J50 70H08 PDF BibTeX XML Cite \textit{V. Kaloshin} and \textit{K. Zhang}, Nonlinearity 31, No. 11, 5214--5234 (2018; Zbl 1400.37043) Full Text: DOI
Karaliolios, Nikolaos Local rigidity of Diophantine translations in higher-dimensional tori. (English) Zbl 1398.37054 Regul. Chaotic Dyn. 23, No. 1, 12-25 (2018). MSC: 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{N. Karaliolios}, Regul. Chaotic Dyn. 23, No. 1, 12--25 (2018; Zbl 1398.37054) Full Text: DOI arXiv
Si, Wen; Si, Jianguo Linearization of a quasi-periodically forced flow on \(\mathbb T^m\) under Brjuno-Rüssmann non-resonant condition. (English) Zbl 1397.37066 Appl. Anal. 97, No. 12, 2001-2024 (2018). MSC: 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{W. Si} and \textit{J. Si}, Appl. Anal. 97, No. 12, 2001--2024 (2018; Zbl 1397.37066) Full Text: DOI
Arnaudon, Alexis Structure preserving noise and dissipation in the Toda lattice. (English) Zbl 1443.37041 J. Phys. A, Math. Theor. 51, No. 21, Article ID 214001, 16 p. (2018). Reviewer: Ivailo Mladenov (Sofia) MSC: 37J35 37J40 22E70 34K27 34F05 PDF BibTeX XML Cite \textit{A. Arnaudon}, J. Phys. A, Math. Theor. 51, No. 21, Article ID 214001, 16 p. (2018; Zbl 1443.37041) Full Text: DOI
Carrasco, D.; Palacián, J. F.; Vidal, C.; Vidarte, J.; Yanguas, P. Dynamics of axially symmetric perturbed Hamiltonians in 1:1:1 resonance. (English) Zbl 1398.37048 J. Nonlinear Sci. 28, No. 4, 1293-1359 (2018). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J15 37J40 37J20 53D20 70H08 70H09 PDF BibTeX XML Cite \textit{D. Carrasco} et al., J. Nonlinear Sci. 28, No. 4, 1293--1359 (2018; Zbl 1398.37048) Full Text: DOI
Hu, Shengqing; Liu, Bin Degenerate lower dimensional invariant tori in reversible system. (English) Zbl 1409.37062 Discrete Contin. Dyn. Syst. 38, No. 8, 3735-3763 (2018). MSC: 37J40 70K43 70H08 PDF BibTeX XML Cite \textit{S. Hu} and \textit{B. Liu}, Discrete Contin. Dyn. Syst. 38, No. 8, 3735--3763 (2018; Zbl 1409.37062) Full Text: DOI
Zhang, Dongfeng; Xu, Junxiang; Xu, Xindong Reducibility of three dimensional skew symmetric system with Liouvillean basic frequencies. (English) Zbl 1430.34052 Discrete Contin. Dyn. Syst. 38, No. 6, 2851-2877 (2018). MSC: 34C20 37J40 70H08 PDF BibTeX XML Cite \textit{D. Zhang} et al., Discrete Contin. Dyn. Syst. 38, No. 6, 2851--2877 (2018; Zbl 1430.34052) Full Text: DOI
Moon, Byungsoo; Hwang, Guenbo The Korteweg-de Vries equation on the quarter plane with asymptotically \(t\)-periodic data via the Fokas method. (English) Zbl 1397.35221 Asymptotic Anal. 107, No. 3-4, 115-133 (2018). Reviewer: Long Wei (Hangzhou) MSC: 35Q35 37K15 76B15 35B20 35B40 PDF BibTeX XML Cite \textit{B. Moon} and \textit{G. Hwang}, Asymptotic Anal. 107, No. 3--4, 115--133 (2018; Zbl 1397.35221) Full Text: DOI
Joshi, Nalini; Liu, Elynor Asymptotic behaviours given by elliptic functions in \(\mathrm P_{\mathrm I}\) – \(\mathrm P_{\mathrm V}\). (English) Zbl 1398.37052 Nonlinearity 31, No. 8, 3726-3747 (2018). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 37J35 37J40 33E17 34C29 34M55 PDF BibTeX XML Cite \textit{N. Joshi} and \textit{E. Liu}, Nonlinearity 31, No. 8, 3726--3747 (2018; Zbl 1398.37052) Full Text: DOI
Bibikov, Yu. N.; Savel’eva, A. G. Periodic perturbations of a nonconservative center. (English. Russian original) Zbl 1394.37095 Differ. Equ. 54, No. 3, 295-299 (2018); translation from Differ. Uravn. 54, No. 3, 302-306 (2018). MSC: 37J40 70H08 PDF BibTeX XML Cite \textit{Yu. N. Bibikov} and \textit{A. G. Savel'eva}, Differ. Equ. 54, No. 3, 295--299 (2018; Zbl 1394.37095); translation from Differ. Uravn. 54, No. 3, 302--306 (2018) Full Text: DOI
Si, Wen; Si, Jianguo Response solutions and quasi-periodic degenerate bifurcations for quasi-periodically forced systems. (English) Zbl 1401.37067 Nonlinearity 31, No. 6, 2361-2418 (2018). Reviewer: Manuel de León (Madrid) MSC: 37J40 34C27 34E20 70H12 70H08 PDF BibTeX XML Cite \textit{W. Si} and \textit{J. Si}, Nonlinearity 31, No. 6, 2361--2418 (2018; Zbl 1401.37067) Full Text: DOI
Fortunati, Alessandro; Wiggins, Stephen Transient invariant and quasi-invariant structures in an example of an aperiodically time dependent fluid flow. (English) Zbl 1390.37103 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 5, Article ID 1830015, 11 p. (2018). MSC: 37J40 76B15 PDF BibTeX XML Cite \textit{A. Fortunati} and \textit{S. Wiggins}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 5, Article ID 1830015, 11 p. (2018; Zbl 1390.37103) Full Text: DOI
Steinbauer, R. Book review of: D. H. Scott, The KAM story. A friendly introduction to the content, history, and significance of classical Kolmogorov-Arnold-Moser theory. (English) Zbl 1386.00048 Monatsh. Math. 185, No. 4, 733-734 (2018). MSC: 00A17 37-03 37-01 37J40 01A60 70H08 PDF BibTeX XML Cite \textit{R. Steinbauer}, Monatsh. Math. 185, No. 4, 733--734 (2018; Zbl 1386.00048) Full Text: DOI
Zhang, Dongfeng; Xu, Junxiang Gevrey smoothness of families of invariant curves for analytic area preserving mappings. (English) Zbl 1390.70045 Acta Appl. Math. 154, No. 1, 31-42 (2018). MSC: 70H08 37J40 34C27 PDF BibTeX XML Cite \textit{D. Zhang} and \textit{J. Xu}, Acta Appl. Math. 154, No. 1, 31--42 (2018; Zbl 1390.70045) Full Text: DOI
Hitrik, Michael; Sjöstrand, Johannes Rational invariant tori and band edge spectra for non-selfadjoint operators. (English) Zbl 1405.35118 J. Eur. Math. Soc. (JEMS) 20, No. 2, 391-457 (2018). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 35P15 35P20 37J35 37J40 53D22 58J37 58J40 PDF BibTeX XML Cite \textit{M. Hitrik} and \textit{J. Sjöstrand}, J. Eur. Math. Soc. (JEMS) 20, No. 2, 391--457 (2018; Zbl 1405.35118) Full Text: DOI
Hong, Weiwei; Zhang, Dongfeng Persistence of lower dimensional invariant tori in a class of reversible systems. (English) Zbl 1383.37048 Dyn. Syst. 33, No. 1, 72-92 (2018). MSC: 37J40 47A55 70K43 70H08 PDF BibTeX XML Cite \textit{W. Hong} and \textit{D. Zhang}, Dyn. Syst. 33, No. 1, 72--92 (2018; Zbl 1383.37048) Full Text: DOI
Xu, Lu; Li, Yong; Yi, Yingfei Poincaré-Treshchev mechanism in multi-scale, nearly integrable Hamiltonian systems. (English) Zbl 1407.37100 J. Nonlinear Sci. 28, No. 1, 337-369 (2018). MSC: 37J40 70H08 37N05 PDF BibTeX XML Cite \textit{L. Xu} et al., J. Nonlinear Sci. 28, No. 1, 337--369 (2018; Zbl 1407.37100) Full Text: DOI
Biasco, L.; Chierchia, L. Explicit estimates on the measure of primary KAM tori. (English) Zbl 1456.37063 Ann. Mat. Pura Appl. (4) 197, No. 1, 261-281 (2018). MSC: 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{L. Biasco} and \textit{L. Chierchia}, Ann. Mat. Pura Appl. (4) 197, No. 1, 261--281 (2018; Zbl 1456.37063) Full Text: DOI
Faver, Timothy E.; Wright, J. Douglas Exact diatomic Fermi-Pasta-Ulam-Tsingou solitary waves with optical band ripples at infinity. (English) Zbl 1381.37092 SIAM J. Math. Anal. 50, No. 1, 182-250 (2018). MSC: 37K60 37L60 37L50 74J35 PDF BibTeX XML Cite \textit{T. E. Faver} and \textit{J. D. Wright}, SIAM J. Math. Anal. 50, No. 1, 182--250 (2018; Zbl 1381.37092) Full Text: DOI arXiv
Fortunati, Alessandro Travelling waves over an arbitrary bathymetry: a local stability result. (English) Zbl 1406.35085 Dyn. Partial Differ. Equ. 15, No. 1, 81-94 (2018). MSC: 35C07 70H08 35C10 37J40 PDF BibTeX XML Cite \textit{A. Fortunati}, Dyn. Partial Differ. Equ. 15, No. 1, 81--94 (2018; Zbl 1406.35085) Full Text: DOI
Massetti, Jessica Elisa A normal form à la Moser for diffeomorphisms and a generalization of Rüssmann’s translated curve theorem to higher dimensions. (English) Zbl 1456.37066 Anal. PDE 11, No. 1, 149-170 (2018). MSC: 37J40 37C05 70H08 70H09 PDF BibTeX XML Cite \textit{J. E. Massetti}, Anal. PDE 11, No. 1, 149--170 (2018; Zbl 1456.37066) Full Text: DOI
Chen, Dong Positive metric entropy in nondegenerate nearly integrable systems. (English) Zbl 1402.37071 J. Mod. Dyn. 11, 43-56 (2017). MSC: 37J40 37A35 53C60 70H08 PDF BibTeX XML Cite \textit{D. Chen}, J. Mod. Dyn. 11, 43--56 (2017; Zbl 1402.37071) Full Text: DOI
Arnaud, Marie-Claude A survey on Lagrangian submanifolds in conservative dynamics: from K.A.M. to weak K.A.M. (English) Zbl 1405.37064 Lecouvey, Cédric (ed.), Actes du 1er congrès national de la SMF – Tours, France, 2016. Paris: Société Mathématique de France (ISBN 978-2-85629-866-4/pbk). Séminaires et Congrès 31, 1-16 (2017). MSC: 37J40 37J05 70H05 37J35 37J50 PDF BibTeX XML Cite \textit{M.-C. Arnaud}, Sémin. Congr. 31, 1--16 (2017; Zbl 1405.37064)
Féjoz, Jacques Introduction to KAM theory with a view to celestial mechanics. (English) Zbl 1407.37098 Bergounioux, Maïtine (ed.) et al., Variational methods. In imaging and geometric control. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 18, 387-433 (2017). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37N05 70K43 70H08 PDF BibTeX XML Cite \textit{J. Féjoz}, Radon Ser. Comput. Appl. Math. 18, 387--433 (2017; Zbl 1407.37098)