Ge, Chuanfang; Geng, Jiansheng; Yi, Yingfei Quasi-periodic breathers in granular chains with Hertzian contact potential. (English) Zbl 1527.37081 J. Nonlinear Sci. 33, No. 5, Paper No. 93, 28 p. (2023). MSC: 37K60 37K55 37J40 34C15 70K43 PDFBibTeX XMLCite \textit{C. Ge} et al., J. Nonlinear Sci. 33, No. 5, Paper No. 93, 28 p. (2023; Zbl 1527.37081) Full Text: DOI
Duignan, Nathan; Meiss, James D. Distinguishing between regular and chaotic orbits of flows by the weighted Birkhoff average. (English) Zbl 1520.37048 Physica D 449, Article ID 133749, 16 p. (2023). MSC: 37J40 37J35 37A30 70K55 37E45 PDFBibTeX XMLCite \textit{N. Duignan} and \textit{J. D. Meiss}, Physica D 449, Article ID 133749, 16 p. (2023; Zbl 1520.37048) Full Text: DOI arXiv
Fayad, Bassam Lyapunov unstable elliptic equilibria. (English) Zbl 1507.37083 J. Am. Math. Soc. 36, No. 1, 81-106 (2023). Reviewer: Cristian Lăzureanu (Timişoara) MSC: 37J40 37J11 37J12 37J25 37J30 PDFBibTeX XMLCite \textit{B. Fayad}, J. Am. Math. Soc. 36, No. 1, 81--106 (2023; Zbl 1507.37083) Full Text: DOI arXiv
Farré, Gerard; Fayad, Bassam Instabilities of invariant quasi-periodic tori. (English) Zbl 1508.37072 J. Eur. Math. Soc. (JEMS) 24, No. 12, 4363-4383 (2022). MSC: 37J40 37J25 70H08 70K43 PDFBibTeX XMLCite \textit{G. Farré} and \textit{B. Fayad}, J. Eur. Math. Soc. (JEMS) 24, No. 12, 4363--4383 (2022; Zbl 1508.37072) Full Text: DOI arXiv
Bialy, Misha; Mironov, Andrey E. The Birkhoff-Poritsky conjecture for centrally-symmetric billiard tables. (English) Zbl 1505.37067 Ann. Math. (2) 196, No. 1, 389-413 (2022). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J40 37J39 37J51 37C83 PDFBibTeX XMLCite \textit{M. Bialy} and \textit{A. E. Mironov}, Ann. Math. (2) 196, No. 1, 389--413 (2022; Zbl 1505.37067) Full Text: DOI arXiv
Lou, Zhaowei; Si, Jianguo; Wang, Shimin Invariant tori for the derivative nonlinear Schrödinger equation with nonlinear term depending on spatial variable. (English) Zbl 1502.37078 Discrete Contin. Dyn. Syst. 42, No. 9, 4555-4595 (2022). MSC: 37K55 37J40 70K43 35Q55 PDFBibTeX XMLCite \textit{Z. Lou} et al., Discrete Contin. Dyn. Syst. 42, No. 9, 4555--4595 (2022; Zbl 1502.37078) Full Text: DOI
Kappeler, T.; Topalov, P. Arnold-Liouville theorem for integrable PDEs: a case study of the focusing NLS equation. (English) Zbl 1496.35362 SIAM J. Math. Anal. 54, No. 4, 4334-4378 (2022). MSC: 35Q55 37K10 37K20 35Q53 PDFBibTeX XMLCite \textit{T. Kappeler} and \textit{P. Topalov}, SIAM J. Math. Anal. 54, No. 4, 4334--4378 (2022; Zbl 1496.35362) Full Text: DOI arXiv
Jin, Xin; Zhang, Pengfei Birkhoff normal form and twist coefficients of periodic orbits of billiards. (English) Zbl 1525.37043 Nonlinearity 35, No. 8, 3907-3943 (2022). Reviewer: João Lopes Dias (Lisboa) MSC: 37E30 37E40 37C83 37G05 37G40 37C25 37C75 37C55 PDFBibTeX XMLCite \textit{X. Jin} and \textit{P. Zhang}, Nonlinearity 35, No. 8, 3907--3943 (2022; Zbl 1525.37043) Full Text: DOI arXiv
Krikorian, Raphaël On the divergence of Birkhoff normal forms. (English) Zbl 1501.37065 Publ. Math., Inst. Hautes Étud. Sci. 135, 1-181 (2022). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J11 37J12 PDFBibTeX XMLCite \textit{R. Krikorian}, Publ. Math., Inst. Hautes Étud. Sci. 135, 1--181 (2022; Zbl 1501.37065) Full Text: DOI arXiv
Bernier, Joackim; Grébert, Benoît Birkhoff normal forms for Hamiltonian PDEs in their energy space. (Formes normales de Birkhoff pour les EDP Hamiltoniennes dans l’espace d’énergie.) (English. French summary) Zbl 1490.35392 J. Éc. Polytech., Math. 9, 681-745 (2022). MSC: 35Q55 81Q05 37K55 35P20 35B65 PDFBibTeX XMLCite \textit{J. Bernier} and \textit{B. Grébert}, J. Éc. Polytech., Math. 9, 681--745 (2022; Zbl 1490.35392) Full Text: DOI arXiv
Hireche, Faouzi; Ghomari, Kaoutar Spectrum of semiclassical Schrödinger operators for two-frequency resonance. (English) Zbl 1509.35257 Asymptotic Anal. 127, No. 1-2, 191-200 (2022). MSC: 35Q40 81Q05 81S10 37G05 35B34 PDFBibTeX XMLCite \textit{F. Hireche} and \textit{K. Ghomari}, Asymptotic Anal. 127, No. 1--2, 191--200 (2022; Zbl 1509.35257) Full Text: DOI
De La Llave, Rafael; Saprykina, Maria Convergence of the Birkhoff normal form sometimes implies convergence of a normalizing transformation. (English) Zbl 1495.37052 Ergodic Theory Dyn. Syst. 42, No. 3, 1166-1187 (2022). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37J40 37J11 70H08 70G60 70H05 PDFBibTeX XMLCite \textit{R. De La Llave} and \textit{M. Saprykina}, Ergodic Theory Dyn. Syst. 42, No. 3, 1166--1187 (2022; Zbl 1495.37052) Full Text: DOI arXiv
Meiss, J. D.; Sander, E. Birkhoff averages and the breakdown of invariant tori in volume-preserving maps. (English) Zbl 1491.37076 Physica D 428, Article ID 133048, 20 p. (2021). MSC: 37M25 37M21 37A30 37A05 37J40 PDFBibTeX XMLCite \textit{J. D. Meiss} and \textit{E. Sander}, Physica D 428, Article ID 133048, 20 p. (2021; Zbl 1491.37076) Full Text: DOI arXiv
Berti, M.; Feola, R.; Franzoi, L. Quadratic life span of periodic gravity-capillary water waves. (English) Zbl 1502.35103 Water Waves 3, No. 1, 85-115 (2021). MSC: 35Q35 76B15 76B45 35B65 35B34 37L10 PDFBibTeX XMLCite \textit{M. Berti} et al., Water Waves 3, No. 1, 85--115 (2021; Zbl 1502.35103) Full Text: DOI arXiv
Sabbah, Claude Integrable deformations and degenerations of some irregular singularities. (English) Zbl 1487.34168 Publ. Res. Inst. Math. Sci. 57, No. 3-4, 755-794 (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 34M56 32C38 34M35 PDFBibTeX XMLCite \textit{C. Sabbah}, Publ. Res. Inst. Math. Sci. 57, No. 3--4, 755--794 (2021; Zbl 1487.34168) Full Text: DOI arXiv
Latigui, Nawel; Ghomari, Kaoutar; Messirdi, Bekkai Theoretical and numerical results on Birkhoff normal forms and resonances in the Born-Oppenheimer approximation. (English) Zbl 1482.37062 Mem. Differ. Equ. Math. Phys. 83, 83-97 (2021). MSC: 37J40 37G05 70K30 PDFBibTeX XMLCite \textit{N. Latigui} et al., Mem. Differ. Equ. Math. Phys. 83, 83--97 (2021; Zbl 1482.37062) Full Text: Link
Bernier, Joackim; Feola, Roberto; Grébert, Benoît; Iandoli, Felice Long-time existence for semi-linear beam equations on irrational tori. (English) Zbl 1482.35201 J. Dyn. Differ. Equations 33, No. 3, 1363-1398 (2021). Reviewer: Long Wei (Hangzhou) MSC: 35Q53 37K55 35A01 PDFBibTeX XMLCite \textit{J. Bernier} et al., J. Dyn. Differ. Equations 33, No. 3, 1363--1398 (2021; Zbl 1482.35201) Full Text: DOI arXiv
Feola, Roberto; Iandoli, Felice Long time existence for fully nonlinear NLS with small Cauchy data on the circle. (English) Zbl 1475.37081 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 1, 109-182 (2021). MSC: 37K55 35S50 35Q55 PDFBibTeX XMLCite \textit{R. Feola} and \textit{F. Iandoli}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 1, 109--182 (2021; Zbl 1475.37081) Full Text: DOI arXiv
Chaika, Jon; Frączek, Krzysztof; Kanigowski, Adam; Ulcigrai, Corinna Singularity of the spectrum for smooth area-preserving flows in genus two and translation surfaces well approximated by cylinders. (English) Zbl 1480.37050 Commun. Math. Phys. 381, No. 3, 1369-1407 (2021). Reviewer: Manuel de León (Madrid) MSC: 37E30 37C40 37D25 37D40 37J39 37J40 37A05 PDFBibTeX XMLCite \textit{J. Chaika} et al., Commun. Math. Phys. 381, No. 3, 1369--1407 (2021; Zbl 1480.37050) Full Text: DOI arXiv
Ge, Chuanfang; Geng, Jiansheng; Lou, Zhaowei KAM tori for completely resonant Hamiltonian derivative beam equations on \(\mathbb{T}^2\). (English) Zbl 1460.37070 J. Dyn. Differ. Equations 33, No. 1, 525-547 (2021). MSC: 37K55 37J40 34C27 34C15 PDFBibTeX XMLCite \textit{C. Ge} et al., J. Dyn. Differ. Equations 33, No. 1, 525--547 (2021; Zbl 1460.37070) Full Text: DOI
Fonda, Alessandro; Gidoni, Paolo Coupling linearity and twist: an extension of the Poincaré-Birkhoff theorem for Hamiltonian systems. (English) Zbl 1454.37057 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 6, Paper No. 55, 25 p. (2020). MSC: 37J40 70H12 37J46 PDFBibTeX XMLCite \textit{A. Fonda} and \textit{P. Gidoni}, NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 6, Paper No. 55, 25 p. (2020; Zbl 1454.37057) Full Text: DOI
Zhang, Jing Almost global solutions to Hamiltonian derivative nonlinear Schrödinger equations on the circle. (English) Zbl 1448.37090 J. Dyn. Differ. Equations 32, No. 3, 1401-1455 (2020). MSC: 37K55 37K45 37J40 35Q55 PDFBibTeX XMLCite \textit{J. Zhang}, J. Dyn. Differ. Equations 32, No. 3, 1401--1455 (2020; Zbl 1448.37090) Full Text: DOI
Yoshino, Masafumi Movable singularity of some Hamiltonian systems. (English) Zbl 1448.34162 Filipuk, Galina (ed.) et al., Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2–15, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 147-169 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M35 PDFBibTeX XMLCite \textit{M. Yoshino}, in: Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2--15, 2018. Berlin: De Gruyter. 147--169 (2020; Zbl 1448.34162) Full Text: DOI
Bialy, Misha; Mironov, Andrey E.; Shalom, Lior Magnetic billiards: non-integrability for strong magnetic field; Gutkin type examples. (English) Zbl 1464.37061 J. Geom. Phys. 154, Article ID 103716, 13 p. (2020). MSC: 37J40 37J30 37J35 PDFBibTeX XMLCite \textit{M. Bialy} et al., J. Geom. Phys. 154, Article ID 103716, 13 p. (2020; Zbl 1464.37061) Full Text: DOI arXiv
Poláčik, Peter; Valdebenito, Darío A. Existence of quasiperiodic solutions of elliptic equations on the entire space with a quadratic nonlinearity. (English) Zbl 1439.35026 Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1369-1393 (2020). MSC: 35B15 35J61 37J40 37K55 PDFBibTeX XMLCite \textit{P. Poláčik} and \textit{D. A. Valdebenito}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1369--1393 (2020; Zbl 1439.35026) Full Text: DOI
Staffilani, Gigliola; Wilson, Bobby Stability of the cubic nonlinear Schrodinger equation on an irrational torus. (English) Zbl 1434.37043 SIAM J. Math. Anal. 52, No. 2, 1318-1342 (2020). MSC: 37K45 37K55 PDFBibTeX XMLCite \textit{G. Staffilani} and \textit{B. Wilson}, SIAM J. Math. Anal. 52, No. 2, 1318--1342 (2020; Zbl 1434.37043) Full Text: DOI arXiv
Yoshino, Masafumi Movable singularity of generalized Emden equation via Birkhoff reduction. (English) Zbl 1441.34092 RIMS Kôkyûroku Bessatsu B75, 89-99 (2019). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M03 34M35 PDFBibTeX XMLCite \textit{M. Yoshino}, RIMS Kôkyûroku Bessatsu B75, 89--99 (2019; Zbl 1441.34092)
Bibikov, P. V. On classification of polynomial Hamiltonians with nondegenerate linearly stable singular point. (English. Russian original) Zbl 1430.37061 Russ. Math. 63, No. 1, 76-78 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 1, 86-88 (2019). MSC: 37J25 37J11 37J40 PDFBibTeX XMLCite \textit{P. V. Bibikov}, Russ. Math. 63, No. 1, 76--78 (2019; Zbl 1430.37061); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 1, 86--88 (2019) 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 PDFBibTeX XMLCite \textit{O. Christov}, Symmetry 11, No. 4, Paper No. 475, 21 p. (2019; Zbl 1425.37040) Full Text: DOI arXiv
Fonda, Alessandro; Ureña, Antonio J. A Poincaré-Birkhoff theorem for Hamiltonian flows on nonconvex domains. (English. French summary) Zbl 1423.37056 J. Math. Pures Appl. (9) 129, 131-152 (2019). MSC: 37J40 37J10 37J45 PDFBibTeX XMLCite \textit{A. Fonda} and \textit{A. J. Ureña}, J. Math. Pures Appl. (9) 129, 131--152 (2019; Zbl 1423.37056) Full Text: DOI arXiv
Fonda, Alessandro; Toader, Rodica Subharmonic solutions of Hamiltonian systems displaying some kind of sublinear growth. (English) Zbl 1419.37059 Adv. Nonlinear Anal. 8, 583-602 (2019). MSC: 37J40 34C25 PDFBibTeX XMLCite \textit{A. Fonda} and \textit{R. Toader}, Adv. Nonlinear Anal. 8, 583--602 (2019; Zbl 1419.37059) Full Text: DOI Link
Pasquali, S. Dynamics of the nonlinear Klein-Gordon equation in the nonrelativistic limit. (English) Zbl 1416.37065 Ann. Mat. Pura Appl. (4) 198, No. 3, 903-972 (2019). Reviewer: Giuseppe Gaeta (Milano) MSC: 37K55 37K40 81Q05 PDFBibTeX XMLCite \textit{S. Pasquali}, Ann. Mat. Pura Appl. (4) 198, No. 3, 903--972 (2019; Zbl 1416.37065) Full Text: DOI arXiv
Zhang, Zerui; Chen, Yuqun; Bokut, Leonid A. Free Gelfand-Dorfman-Novikov superalgebras and a Poincaré-Birkhoff-Witt type theorem. (English) Zbl 1444.17001 Int. J. Algebra Comput. 29, No. 3, 481-505 (2019). MSC: 17A70 17A30 16S15 17B30 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Int. J. Algebra Comput. 29, No. 3, 481--505 (2019; Zbl 1444.17001) Full Text: DOI
Its, A. R.; Lisovyy, O.; Prokhorov, A. Monodromy dependence and connection formulae for isomonodromic tau functions. (English) Zbl 1396.33039 Duke Math. J. 167, No. 7, 1347-1432 (2018). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 33E17 34E05 34E10 34M35 34M40 34M55 34M56 PDFBibTeX XMLCite \textit{A. R. Its} et al., Duke Math. J. 167, No. 7, 1347--1432 (2018; Zbl 1396.33039) Full Text: DOI arXiv Euclid
Junginger, Andrej; Main, Jörg; Wunner, Günter Construction of Darboux coordinates and Poincaré-Birkhoff normal forms in noncanonical Hamiltonian systems. (English) Zbl 1376.81020 Physica D 348, 12-32 (2017). MSC: 81Q05 37J40 81T80 81-04 PDFBibTeX XMLCite \textit{A. Junginger} et al., Physica D 348, 12--32 (2017; Zbl 1376.81020) Full Text: DOI
Garić-Demirović, Mirela; Nurkanović, M.; Nurkanović, Z. Stability, periodicity, and symmetries of certain second-order fractional difference equation with quadratic terms via KAM theory. (English) Zbl 1356.37078 Math. Methods Appl. Sci. 40, No. 1, 306-318 (2017). Reviewer: Eszter Gselmann (Debrecen) MSC: 37J40 39A10 39A30 39A12 PDFBibTeX XMLCite \textit{M. Garić-Demirović} et al., Math. Methods Appl. Sci. 40, No. 1, 306--318 (2017; Zbl 1356.37078) Full Text: DOI
Martínez-Farías, Francisco; Panayotaros, Panayotis Breather solutions for inhomogeneous FPU models using Birkhoff normal forms. (English) Zbl 1415.37109 Physica D 335, 10-25 (2016). MSC: 37N25 37J40 92C05 PDFBibTeX XMLCite \textit{F. Martínez-Farías} and \textit{P. Panayotaros}, Physica D 335, 10--25 (2016; Zbl 1415.37109) Full Text: DOI
Nurkanović, Mehmed; Nurkanović, Zehra Birkhoff normal forms, KAM theory, periodicity and symmetries for certain rational difference equation with cubic terms. (English) Zbl 1424.39014 Sarajevo J. Math. 12(25), No. 2, 217-231 (2016). MSC: 39A12 37J40 39A10 PDFBibTeX XMLCite \textit{M. Nurkanović} and \textit{Z. Nurkanović}, Sarajevo J. Math. 12(25), No. 2, 217--231 (2016; Zbl 1424.39014) Full Text: DOI
Asaoka, Masayuki; Irie, Kei A \({C^\infty}\) closing lemma for Hamiltonian diffeomorphisms of closed surfaces. (English) Zbl 1408.37092 Geom. Funct. Anal. 26, No. 5, 1245-1254 (2016). MSC: 37J10 37E30 37J45 37J40 PDFBibTeX XMLCite \textit{M. Asaoka} and \textit{K. Irie}, Geom. Funct. Anal. 26, No. 5, 1245--1254 (2016; Zbl 1408.37092) Full Text: DOI arXiv
Eliasson, L. Hakan; Grébert, Benoît; Kuksin, Sergei B. KAM for the nonlinear beam equation. (English) Zbl 1370.35214 Geom. Funct. Anal. 26, No. 6, 1588-1715 (2016). Reviewer: Aleksander Pankov (Baltimore) MSC: 35L76 37J40 35Q74 74K10 35L35 37K55 PDFBibTeX XMLCite \textit{L. H. Eliasson} et al., Geom. Funct. Anal. 26, No. 6, 1588--1715 (2016; Zbl 1370.35214) Full Text: DOI arXiv
Karabanov, A. A.; Morozov, A. D. Degenerate resonances in Hamiltonian systems: from Poincaré-Birkhoff chains to vortex pairs and Kármán vortex streets. (English. Russian original) Zbl 1353.37123 J. Math. Sci., New York 219, No. 1, 155-159 (2016); translation from Probl. Mat. Anal. 85, 147-151 (2016). MSC: 37J40 37J30 70H08 PDFBibTeX XMLCite \textit{A. A. Karabanov} and \textit{A. D. Morozov}, J. Math. Sci., New York 219, No. 1, 155--159 (2016; Zbl 1353.37123); translation from Probl. Mat. Anal. 85, 147--151 (2016) Full Text: DOI
Fonda, Alessandro; Garrione, Maurizio; Gidoni, Paolo Periodic perturbations of Hamiltonian systems. (English) Zbl 1353.37124 Adv. Nonlinear Anal. 5, No. 4, 367-382 (2016). MSC: 37J45 34C25 37J40 PDFBibTeX XMLCite \textit{A. Fonda} et al., Adv. Nonlinear Anal. 5, No. 4, 367--382 (2016; Zbl 1353.37124) Full Text: DOI
Helffer, Bernard; Kordyukov, Yuri; Raymond, Nicolas; Ngọc, San Vũ Magnetic wells in dimension three. (English) Zbl 1351.81053 Anal. PDE 9, No. 7, 1575-1608 (2016). MSC: 81Q20 35P15 37G05 70H15 81Q10 35C20 35S05 PDFBibTeX XMLCite \textit{B. Helffer} et al., Anal. PDE 9, No. 7, 1575--1608 (2016; Zbl 1351.81053) Full Text: DOI arXiv
Cuccagna, Scipio; Maeda, Masaya; Phan, Tuoc V. On small energy stabilization in the NLKG with a trapping potential. (English) Zbl 1356.35142 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 146, 32-58 (2016). Reviewer: Michael Reissig (Freiberg) MSC: 35L71 35L15 PDFBibTeX XMLCite \textit{S. Cuccagna} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 146, 32--58 (2016; Zbl 1356.35142) Full Text: DOI arXiv
Paul, Thierry; Stolovitch, Laurent Quantum singular complete integrability. (English) Zbl 1350.47057 J. Funct. Anal. 271, No. 6, 1377-1433 (2016). MSC: 47N50 81Q15 81Q20 37J35 37J40 PDFBibTeX XMLCite \textit{T. Paul} and \textit{L. Stolovitch}, J. Funct. Anal. 271, No. 6, 1377--1433 (2016; Zbl 1350.47057) Full Text: DOI arXiv
Fortunati, Alessandro; Wiggins, Stephen Negligibility of small divisor effects in the normal form theory for nearly-integrable Hamiltonians with decaying non-autonomous perturbations. (English) Zbl 1342.70049 Celest. Mech. Dyn. Astron. 125, No. 2, 247-262 (2016). MSC: 70H08 37D40 37J25 PDFBibTeX XMLCite \textit{A. Fortunati} and \textit{S. Wiggins}, Celest. Mech. Dyn. Astron. 125, No. 2, 247--262 (2016; Zbl 1342.70049) Full Text: DOI arXiv
Denette, Erin; Kulenović, Mustafa R. S.; Pilav, Esmir Birkhoff normal forms, KAM theory and time reversal symmetry for certain rational map. (English) Zbl 1344.37068 Mathematics 4, No. 1, Paper No. 20, 12 p. (2016). MSC: 37J40 37E40 39A28 39A30 39A23 37M05 PDFBibTeX XMLCite \textit{E. Denette} et al., Mathematics 4, No. 1, Paper No. 20, 12 p. (2016; Zbl 1344.37068) Full Text: DOI
Reyes, Armando Skew PBW extensions of Baer, quasi-Baer, p.p. and p.q.-rings. (English) Zbl 1344.16027 Rev. Integr. 33, No. 2, 173-189 (2015). Reviewer: George Szeto (Peoria) MSC: 16S36 16S15 16S32 16W20 16P60 PDFBibTeX XMLCite \textit{A. Reyes}, Rev. Integr. 33, No. 2, 173--189 (2015; Zbl 1344.16027) Full Text: DOI
Henrici, Andreas Symmetries of the periodic Toda lattice, with an application to normal forms and perturbations of the lattice with Dirichlet boundary conditions. (English) Zbl 1333.37072 Discrete Contin. Dyn. Syst. 35, No. 7, 2949-2977 (2015). MSC: 37J15 37J40 70H08 37K05 70H33 PDFBibTeX XMLCite \textit{A. Henrici}, Discrete Contin. Dyn. Syst. 35, No. 7, 2949--2977 (2015; Zbl 1333.37072) Full Text: DOI arXiv
Miao, Xue-Qing; Wang, Ya-Nan; Qin, Wen-Xin Minimizers with bounded action for the high-dimensional Frenkel-Kontorova model. (English) Zbl 1321.37062 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 8, Article ID 1550098, 8 p. (2015). MSC: 37J50 37J40 70F45 37E40 37C65 37B20 PDFBibTeX XMLCite \textit{X.-Q. Miao} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 8, Article ID 1550098, 8 p. (2015; Zbl 1321.37062)
Yin, Wanke Divergent Birkhoff normal forms of real analytic area preserving maps. (English) Zbl 1333.37092 Math. Z. 280, No. 3-4, 1005-1014 (2015). MSC: 37J40 37J10 PDFBibTeX XMLCite \textit{W. Yin}, Math. Z. 280, No. 3--4, 1005--1014 (2015; Zbl 1333.37092) Full Text: DOI
Eliasson, L. H.; Fayad, B.; Krikorian, R. Around the stability of KAM tori. (English) Zbl 1366.37126 Duke Math. J. 164, No. 9, 1733-1775 (2015). Reviewer: Xiaocai Wang (Huaian) MSC: 37J40 70H08 37J25 70H12 70H14 PDFBibTeX XMLCite \textit{L. H. Eliasson} et al., Duke Math. J. 164, No. 9, 1733--1775 (2015; Zbl 1366.37126) Full Text: DOI arXiv Euclid
Françoise, Jean-Pierre; Tarama, Daisuke Analytic extension of the Birkhoff normal forms for the free rigid body dynamics on \(SO(3)\). (English) Zbl 1337.37040 Nonlinearity 28, No. 5, 1193-1216 (2015). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 37J40 58K10 58K50 70E15 PDFBibTeX XMLCite \textit{J.-P. Françoise} and \textit{D. Tarama}, Nonlinearity 28, No. 5, 1193--1216 (2015; Zbl 1337.37040) Full Text: DOI arXiv
Zhong, Jiyu Bifurcations of a second-order difference equation related to a class of reaction-diffusion equations. (English) Zbl 1369.39012 J. Difference Equ. Appl. 21, No. 1, 53-70 (2015). MSC: 39A28 39A10 37G10 PDFBibTeX XMLCite \textit{J. Zhong}, J. Difference Equ. Appl. 21, No. 1, 53--70 (2015; Zbl 1369.39012) Full Text: DOI
Delort, J.-M. Quasi-linear perturbations of Hamiltonian Klein-Gordon equations on spheres. (English) Zbl 1315.35003 Mem. Am. Math. Soc. 1103, v, 80 p. (2015). MSC: 35-02 35L72 35S50 37K45 58J45 PDFBibTeX XMLCite \textit{J. M. Delort}, Quasi-linear perturbations of Hamiltonian Klein-Gordon equations on spheres. Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1315.35003) Full Text: DOI Link
Guillemin, V.; Uribe, A.; Wang, Z. Canonical forms for perturbations of the harmonic oscillator. (English) Zbl 1315.37037 New York J. Math. 21, 163-180 (2015). Reviewer: Mihai Pascu (Bucureşti) MSC: 37J40 35P20 14M25 PDFBibTeX XMLCite \textit{V. Guillemin} et al., New York J. Math. 21, 163--180 (2015; Zbl 1315.37037) Full Text: arXiv EMIS
Chierchia, Luigi; Pinzari, Gabriella Metric stability of the planetary \(N\)-body problem. (English) Zbl 1373.70009 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-806-3/hbk; 978-89-6105-803-2/set). 547-570 (2014). MSC: 70F10 70F15 70H08 70K43 70H12 70K45 70E55 34C20 34C27 34C29 34D10 PDFBibTeX XMLCite \textit{L. Chierchia} and \textit{G. Pinzari}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa. 547--570 (2014; Zbl 1373.70009)
Gateva-Ivanova, Tatiana; Fløystad, Gunnar Monomial algebras defined by Lyndon words. (English) Zbl 1310.16018 J. Algebra 403, 470-496 (2014). Reviewer: Victor Petrogradsky (Brasilia) MSC: 16P90 16S15 68R15 16W50 16E10 16S80 16Z05 PDFBibTeX XMLCite \textit{T. Gateva-Ivanova} and \textit{G. Fløystad}, J. Algebra 403, 470--496 (2014; Zbl 1310.16018) Full Text: DOI arXiv
Cuccagna, Scipio On asymptotic stability of moving ground states of the nonlinear Schrödinger equation. (English) Zbl 1293.35289 Trans. Am. Math. Soc. 366, No. 6, 2827-2888 (2014). MSC: 35Q55 35B40 35Q51 37K40 PDFBibTeX XMLCite \textit{S. Cuccagna}, Trans. Am. Math. Soc. 366, No. 6, 2827--2888 (2014; Zbl 1293.35289) Full Text: DOI arXiv
Cuccagna, Scipio; Maeda, Masaya On weak interaction between a ground state and a non-trapping potential. (English) Zbl 1285.35107 J. Differ. Equations 256, No. 4, 1395-1466 (2014). MSC: 35Q55 35Q51 35B35 35B40 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, J. Differ. Equations 256, No. 4, 1395--1466 (2014; Zbl 1285.35107) Full Text: DOI arXiv
Marchesiello, Antonella; Pucacco, Giuseppe Equivariant singularity analysis of the \(2:2\) resonance. (English) Zbl 1418.37091 Nonlinearity 27, No. 1, 43-66 (2014). MSC: 37J20 37J40 70H33 PDFBibTeX XMLCite \textit{A. Marchesiello} and \textit{G. Pucacco}, Nonlinearity 27, No. 1, 43--66 (2014; Zbl 1418.37091) Full Text: DOI arXiv
Mikram, J.; Zinoun, F.; El Abdllaoui, A. POINCARé CODE: a package of open-source implements for normalization and computer algebra reduction near equilibria of coupled ordinary differential equations. (English) Zbl 1344.34004 Comput. Phys. Commun. 184, No. 9, 2204-2213 (2013). MSC: 34-04 34C20 PDFBibTeX XMLCite \textit{J. Mikram} et al., Comput. Phys. Commun. 184, No. 9, 2204--2213 (2013; Zbl 1344.34004) Full Text: DOI
Pinzari, Gabriella Aspects of the planetary Birkhoff normal form. (English) Zbl 1320.70007 Regul. Chaotic Dyn. 18, No. 6, 860-906 (2013). MSC: 70F07 37J40 70F10 70F15 70K43 70K45 PDFBibTeX XMLCite \textit{G. Pinzari}, Regul. Chaotic Dyn. 18, No. 6, 860--906 (2013; Zbl 1320.70007) Full Text: DOI arXiv
Ramis, Jean-Pierre; Sauloy, Jacques; Zhang, Changgui Local analytic classification of \(q\)-difference equations. (English) Zbl 1320.39008 Astérisque 355. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-775-9/pbk). vi, 151 p. (2013). Reviewer: Narcisa C. Apreutesei (Iaşi) MSC: 39A13 39-02 41A60 40B99 34M50 PDFBibTeX XMLCite \textit{J.-P. Ramis} et al., Local analytic classification of \(q\)-difference equations. Paris: Société Mathématique de France (SMF) (2013; Zbl 1320.39008) Full Text: arXiv
Barwicz, Weronika; Wiliński, Mateusz; Żołądek, Henryk Birkhoff normalization, bifurcations of Hamiltonian systems and the deprits formula. (English) Zbl 1281.70024 J. Fixed Point Theory Appl. 13, No. 2, 587-610 (2013). MSC: 70H05 05A15 15A15 15A18 37J25 70F07 70K45 70K50 PDFBibTeX XMLCite \textit{W. Barwicz} et al., J. Fixed Point Theory Appl. 13, No. 2, 587--610 (2013; Zbl 1281.70024) Full Text: DOI
Faou, Erwan; Gauckler, Ludwig; Lubich, Christian Sobolev stability of plane wave solutions to the cubic nonlinear Schrödinger equation on a torus. (English) Zbl 1274.35357 Commun. Partial Differ. Equations 38, No. 7-9, 1123-1140 (2013). MSC: 35Q55 37K55 35B20 35B35 PDFBibTeX XMLCite \textit{E. Faou} et al., Commun. Partial Differ. Equations 38, No. 7--9, 1123--1140 (2013; Zbl 1274.35357) Full Text: DOI arXiv
Sevenheck, Christian Duality of Gauß-Manin systems associated to linear free divisors. (English) Zbl 1272.32026 Math. Z. 274, No. 1-2, 249-261 (2013). Reviewer: Gwyn Bellamy (Glasgow) MSC: 32S40 34M35 PDFBibTeX XMLCite \textit{C. Sevenheck}, Math. Z. 274, No. 1--2, 249--261 (2013; Zbl 1272.32026) Full Text: DOI arXiv
Dullin, Holger R. Semi-global symplectic invariants of the spherical pendulum. (English) Zbl 1266.37024 J. Differ. Equations 254, No. 7, 2942-2963 (2013). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37J35 37J15 37J40 70H06 70H08 37G20 PDFBibTeX XMLCite \textit{H. R. Dullin}, J. Differ. Equations 254, No. 7, 2942--2963 (2013; Zbl 1266.37024) Full Text: DOI arXiv
Gong, Xianghong Existence of divergent Birkhoff normal forms of Hamiltonian functions. (English) Zbl 1309.37053 Ill. J. Math. 56, No. 1, 85-94 (2012). Reviewer: Pau Martin de la Torre (Barcelona) MSC: 37J40 PDFBibTeX XMLCite \textit{X. Gong}, Ill. J. Math. 56, No. 1, 85--94 (2012; Zbl 1309.37053) Full Text: arXiv Euclid
Gérard, Patrick; Grellier, Sandrine Effective integrable dynamics for a certain nonlinear wave equation. (English) Zbl 1268.35013 Anal. PDE 5, No. 5, 1139-1155 (2012). Reviewer: Laurent Thomann (Nantes) MSC: 35B40 35B34 37K55 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, Anal. PDE 5, No. 5, 1139--1155 (2012; Zbl 1268.35013) Full Text: DOI arXiv Link
Procesi, Michela; Procesi, Claudio A normal form for the Schrödinger equation with analytic non-linearities. (English) Zbl 1277.35318 Commun. Math. Phys. 312, No. 2, 501-557 (2012). Reviewer: Jiansheng Geng (Nanjing) MSC: 35Q55 37L10 PDFBibTeX XMLCite \textit{M. Procesi} and \textit{C. Procesi}, Commun. Math. Phys. 312, No. 2, 501--557 (2012; Zbl 1277.35318) Full Text: DOI arXiv
Popov, Georgi; Topalov, Peter Invariants of isospectral deformations and spectral rigidity. (English) Zbl 1245.58015 Commun. Partial Differ. Equations 37, No. 1-3, 369-446 (2012). Reviewer: Sönke Hansen (Paderborn) MSC: 58J53 37J40 35P05 PDFBibTeX XMLCite \textit{G. Popov} and \textit{P. Topalov}, Commun. Partial Differ. Equations 37, No. 1--3, 369--446 (2012; Zbl 1245.58015) Full Text: DOI arXiv
Di Ruzza, Sara; Lhotka, Christoph High order normal form construction near the elliptic orbit of the Sitnikov problem. (English) Zbl 1266.70040 Celest. Mech. Dyn. Astron. 111, No. 4, 449-464 (2011). MSC: 70K45 70M20 70G10 70H09 PDFBibTeX XMLCite \textit{S. Di Ruzza} and \textit{C. Lhotka}, Celest. Mech. Dyn. Astron. 111, No. 4, 449--464 (2011; Zbl 1266.70040) Full Text: DOI
Chierchia, Luigi; Pinzari, Gabriella Planetary Birkhoff normal forms. (English) Zbl 1320.70009 J. Mod. Dyn. 5, No. 4, 623-664 (2011). MSC: 70F10 70F15 37J40 37N05 70K45 70M20 PDFBibTeX XMLCite \textit{L. Chierchia} and \textit{G. Pinzari}, J. Mod. Dyn. 5, No. 4, 623--664 (2011; Zbl 1320.70009) Full Text: DOI
Anosov, D. V.; Leksin, V. P. Andrei Andreevich Bolibrukh’s works on the analytic theory of differential equations. (English. Russian original) Zbl 1223.34003 Russ. Math. Surv. 66, No. 1, 1-33 (2011); translation from Usp. Mat. Nauk. 66, No. 1, 3-36 (2011). Reviewer: Svitlana P. Rogovchenko (Umeå) MSC: 34-03 34M35 01A70 34M50 34M56 PDFBibTeX XMLCite \textit{D. V. Anosov} and \textit{V. P. Leksin}, Russ. Math. Surv. 66, No. 1, 1--33 (2011; Zbl 1223.34003); translation from Usp. Mat. Nauk. 66, No. 1, 3--36 (2011) Full Text: DOI
Llibre, Jaume; Miranda Martins, Ricardo; Teixeira, Marco Antonio Periodic orbits, invariant tori, and cylinders of Hamiltonian systems near integrable ones having a return map equal to the identity. (English) Zbl 1312.70009 J. Math. Phys. 51, No. 8, 082704, 11 p. (2010). MSC: 70H05 70H06 70K43 70K65 37J45 37J15 37J40 PDFBibTeX XMLCite \textit{J. Llibre} et al., J. Math. Phys. 51, No. 8, 082704, 11 p. (2010; Zbl 1312.70009) Full Text: DOI
Mitev, Todor; Popov, Georgi Gevrey normal form and effective stability of Lagrangian tori. (English) Zbl 1282.37034 Discrete Contin. Dyn. Syst., Ser. S 3, No. 4, 643-666 (2010). MSC: 37J40 70H08 PDFBibTeX XMLCite \textit{T. Mitev} and \textit{G. Popov}, Discrete Contin. Dyn. Syst., Ser. S 3, No. 4, 643--666 (2010; Zbl 1282.37034) Full Text: DOI arXiv
Markova, O. V. On some properties of the length function. (English. Russian original) Zbl 1229.16015 Math. Notes 87, No. 1, 71-78 (2010); translation from Mat. Zametki 87, No. 1, 83-91 (2010). MSC: 16S15 16P10 PDFBibTeX XMLCite \textit{O. V. Markova}, Math. Notes 87, No. 1, 71--78 (2010; Zbl 1229.16015); translation from Mat. Zametki 87, No. 1, 83--91 (2010) Full Text: DOI
Kuksin, Sergei; Perelman, Galina Vey theorem in infinite dimensions and its application to KdV. (English) Zbl 1193.37076 Discrete Contin. Dyn. Syst. 27, No. 1, 1-24 (2010). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J35 35Q53 37K15 PDFBibTeX XMLCite \textit{S. Kuksin} and \textit{G. Perelman}, Discrete Contin. Dyn. Syst. 27, No. 1, 1--24 (2010; Zbl 1193.37076) Full Text: DOI arXiv
Ghomari, Kaoutar; Messirdi, Bekkai Hamiltonians spectrum in Fermi resonance via the Birkhoff-Gustavson normal form. (English) Zbl 1204.37049 Int. J. Contemp. Math. Sci. 4, No. 33-36, 1701-1707 (2009). Reviewer: Gheorghe Zet (Iaşi) MSC: 37G05 37J40 81S10 81Q10 PDFBibTeX XMLCite \textit{K. Ghomari} and \textit{B. Messirdi}, Int. J. Contemp. Math. Sci. 4, No. 33--36, 1701--1707 (2009; Zbl 1204.37049) Full Text: Link
Ito, Hidekazu Birkhoff normalization and superintegrability of Hamiltonian systems. (English) Zbl 1194.37086 Ergodic Theory Dyn. Syst. 29, No. 6, 1853-1880 (2009). Reviewer: Adriana Buică (Cluj-Napoca) MSC: 37J35 37J40 70H06 PDFBibTeX XMLCite \textit{H. Ito}, Ergodic Theory Dyn. Syst. 29, No. 6, 1853--1880 (2009; Zbl 1194.37086) Full Text: DOI
Vũ Ngọc, San Quantum Birkhoff normal forms and semiclassical analysis. (English) Zbl 1185.58012 Bourguignon, Jean-Pierre (ed.) et al., Noncommutativity and singularities. Proceedings of French-Japanese symposia held at IHÉS, Bures-sur-Yvette, France, November 20-23 and November 15–18, 2006. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-54-9/hbk). Advanced Studies in Pure Mathematics 55, 99-116 (2009). Reviewer: Luigi Rodino (Torino) MSC: 58J40 58J50 58K50 47B35 53D20 81S10 PDFBibTeX XMLCite \textit{S. Vũ Ngọc}, Adv. Stud. Pure Math. 55, 99--116 (2009; Zbl 1185.58012)
Henrici, Andreas; Kappeler, Thomas Resonant normal form for even periodic FPU chains. (English) Zbl 1181.37081 J. Eur. Math. Soc. (JEMS) 11, No. 5, 1025-1056 (2009). Reviewer: O. Makeev (Ulyanovsk) MSC: 37J15 37J35 37J40 70H06 70H08 PDFBibTeX XMLCite \textit{A. Henrici} and \textit{T. Kappeler}, J. Eur. Math. Soc. (JEMS) 11, No. 5, 1025--1056 (2009; Zbl 1181.37081) Full Text: DOI arXiv Link
Chu, Jifeng; Lei, Jinzhi; Zhang, Meirong The stability of the equilibrium of a nonlinear planar system and application to the relativistic oscillator. (English) Zbl 1175.34053 J. Differ. Equations 247, No. 2, 530-542 (2009). Reviewer: Peter Giesl (Brighton) MSC: 34C25 34D20 34C15 PDFBibTeX XMLCite \textit{J. Chu} et al., J. Differ. Equations 247, No. 2, 530--542 (2009; Zbl 1175.34053) Full Text: DOI
Ito, Hidekazu Birkhoff normal forms for superintegrable systems. (English) Zbl 1165.37025 RIMS Kôkyûroku Bessatsu B10, 115-131 (2008). Reviewer: Iskander A. Taimanov (Novosibirsk) MSC: 37J40 37J35 PDFBibTeX XMLCite \textit{H. Ito}, RIMS Kôkyûroku Bessatsu B10, 115--131 (2008; Zbl 1165.37025)
Gontsov, R. R.; Poberezhnyi, V. A. Various versions of the Riemann-Hilbert problem for linear differential equations. (English. Russian original) Zbl 1167.34041 Russ. Math. Surv. 63, No. 4, 603-639 (2008); translation from Usp. Mat. Nauk 63, No. 4, 3-42 (2008). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34M50 34M35 34M30 34A26 PDFBibTeX XMLCite \textit{R. R. Gontsov} and \textit{V. A. Poberezhnyi}, Russ. Math. Surv. 63, No. 4, 603--639 (2008; Zbl 1167.34041); translation from Usp. Mat. Nauk 63, No. 4, 3--42 (2008) Full Text: DOI
Chen, Yuqun; Shao, Hongshan; Shum, K. P. Rosso-Yamane theorem on PBW basis of \(U_q(A_N)\). (English) Zbl 1170.17001 Cubo 10, No. 3, 171-194 (2008). Reviewer: Vesselin Drensky (Sofia) MSC: 17B37 16S15 PDFBibTeX XMLCite \textit{Y. Chen} et al., Cubo 10, No. 3, 171--194 (2008; Zbl 1170.17001) Full Text: arXiv
Henrici, Andreas; Kappeler, Thomas Birkhoff normal form for the periodic Toda lattice. (English) Zbl 1149.37031 Baik, Jinho (ed.) et al., Integrable systems and random matrices. In honor of Percy Deift. Conference on integrable systems, random matrices, and applications in honor of Percy Deift’s 60th birthday, New York, NY, USA, May 22–26, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4240-9/pbk). Contemporary Mathematics 458, 11-29 (2008). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J35 37J40 70H06 60H15 37K10 37K60 PDFBibTeX XMLCite \textit{A. Henrici} and \textit{T. Kappeler}, Contemp. Math. 458, 11--29 (2008; Zbl 1149.37031) Full Text: arXiv
Henrici, Andreas; Kappeler, Thomas Results on normal forms for FPU chains. (English) Zbl 1168.70005 Commun. Math. Phys. 278, No. 1, 145-177 (2008). MSC: 70F99 70K45 70H06 PDFBibTeX XMLCite \textit{A. Henrici} and \textit{T. Kappeler}, Commun. Math. Phys. 278, No. 1, 145--177 (2008; Zbl 1168.70005) Full Text: DOI Link
Bambusi, D. A Birkhoff normal form theorem for some semilinear PDEs. (English) Zbl 1145.37038 Craig, Walter (ed.), Hamiltonian dynamical systems and applications. Proceedings of the NATO Advanced Study Institute on Hamiltonian dynamical systems and applications, Montreal, Canada, June, 18-29, 2007. Berlin: Springer (ISBN 978-1-4020-6963-5/pbk; 978-1-4020-6962-8/hbk). NATO Science for Peace and Security Series B: Physics and Biophysics, 213-247 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37L10 35L05 PDFBibTeX XMLCite \textit{D. Bambusi}, in: Hamiltonian dynamical systems and applications. Proceedings of the NATO Advanced Study Institute on Hamiltonian dynamical systems and applications, Montreal, Canada, June, 18-29, 2007. Berlin: Springer. 213--247 (2008; Zbl 1145.37038)
Kappeler, T.; Serier, F.; Topalov, P. On the symplectic phase space of KdV. (English) Zbl 1167.35039 Proc. Am. Math. Soc. 136, No. 5, 1691-1698 (2008). MSC: 35Q53 34K17 PDFBibTeX XMLCite \textit{T. Kappeler} et al., Proc. Am. Math. Soc. 136, No. 5, 1691--1698 (2008; Zbl 1167.35039) Full Text: DOI arXiv
Guillou, Lucien Free lines for homeomorphisms of the open annulus. (English) Zbl 1135.37016 Trans. Am. Math. Soc. 360, No. 4, 2191-2204 (2008). Reviewer: Alois Klíč (Praha) MSC: 37E30 37J40 PDFBibTeX XMLCite \textit{L. Guillou}, Trans. Am. Math. Soc. 360, No. 4, 2191--2204 (2008; Zbl 1135.37016) Full Text: DOI arXiv
Kano, Hiroyuki; Nozaki, Kazuhiro Perturbative renormalization analysis of the Poincaré-Birkhoff resonance in 2-D symplectic map. (English) Zbl 1144.37021 Chaos Solitons Fractals 32, No. 1, 215-223 (2007). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37J10 37E20 37J40 37J20 PDFBibTeX XMLCite \textit{H. Kano} and \textit{K. Nozaki}, Chaos Solitons Fractals 32, No. 1, 215--223 (2007; Zbl 1144.37021) Full Text: DOI
Sabbah, Claude Isomonodromic deformations and Frobenius manifolds. An introduction. Transl. from the French. (English) Zbl 1131.14004 Universitext. Berlin: Springer; Les Ulis: EDP Sciences (ISBN 978-1-84800-053-7/pbk; 978-2-7598-0047-6). xiv, 279 p. (2007). Reviewer: Vladimir P. Kostov (Nice) MSC: 14-02 32-02 34-02 14D05 32G05 32G34 32S30 32S40 34M35 34M55 53D45 PDFBibTeX XMLCite \textit{C. Sabbah}, Isomonodromic deformations and Frobenius manifolds. An introduction. Transl. from the French. Berlin: Springer; Les Ulis: EDP Sciences (2007; Zbl 1131.14004)
Nguyen Tien Zung Torus actions and integrable systems. (English) Zbl 1329.37054 Bolsinov, A. V. et al., Topological methods in the theory of integrable systems. Cambridge: Cambridge Scientific Publishers (ISBN 978-1-904868-42-2/hbk). 289-328 (2006). MSC: 37J35 37C85 37G05 53D20 70H05 70K45 PDFBibTeX XMLCite \textit{Nguyen Tien Zung}, in: Topological methods in the theory of integrable systems. Cambridge: Cambridge Scientific Publishers. 289--328 (2006; Zbl 1329.37054) Full Text: arXiv
V’yugin, I. V.; Gontsov, R. R. Additional parameters in inverse monodromy problems. (English. Russian original) Zbl 1159.34059 Sb. Math. 197, No. 12, 1753-1773 (2006); translation from Mat. Sb. 197, No. 12, 43-64 (2006). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34M50 32S40 34C20 PDFBibTeX XMLCite \textit{I. V. V'yugin} and \textit{R. R. Gontsov}, Sb. Math. 197, No. 12, 1753--1773 (2006; Zbl 1159.34059); translation from Mat. Sb. 197, No. 12, 43--64 (2006) Full Text: DOI
Valls, Claudia Quasiperiodic solutions for dissipative Boussinesq systems. (English) Zbl 1122.37054 Commun. Math. Phys. 265, No. 2, 305-331 (2006). MSC: 37K55 35Q53 37J40 76D33 PDFBibTeX XMLCite \textit{C. Valls}, Commun. Math. Phys. 265, No. 2, 305--331 (2006; Zbl 1122.37054) Full Text: DOI
Chang, Wen D.; Wang, Jun Spectral stability of periodic solutions for Hamiltonian systems with \(\mathbb Z_2\) symmetry. (English) Zbl 1113.37044 Glob. J. Pure Appl. Math. 2, No. 1, 11-18 (2006). MSC: 37J25 37J15 34C25 34C20 70H05 PDFBibTeX XMLCite \textit{W. D. Chang} and \textit{J. Wang}, Glob. J. Pure Appl. Math. 2, No. 1, 11--18 (2006; Zbl 1113.37044)
Dias, Ana Paula S.; Paiva, Rui C. Hopf bifurcation with \(S_3\)-symmetry. (English) Zbl 1113.37033 Port. Math. (N.S.) 63, No. 2, 127-155 (2006). MSC: 37G40 34C23 34C25 37G05 PDFBibTeX XMLCite \textit{A. P. S. Dias} and \textit{R. C. Paiva}, Port. Math. (N.S.) 63, No. 2, 127--155 (2006; Zbl 1113.37033) Full Text: EuDML
Gaeta, Giuseppe Non-quadratic additional conserved quantities in Birkhoff normal forms. (English) Zbl 1116.37040 Celest. Mech. Dyn. Astron. 96, No. 1, 63-81 (2006). MSC: 37J40 70H05 PDFBibTeX XMLCite \textit{G. Gaeta}, Celest. Mech. Dyn. Astron. 96, No. 1, 63--81 (2006; Zbl 1116.37040) Full Text: DOI