Ma, Zhichao; Xu, Junxiang Response solutions for completely degenerate oscillators under arbitrary quasi-periodic perturbations. (English) Zbl 07719647 Commun. Math. Phys. 402, No. 1, 1-33 (2023). MSC: 37J40 34C15 70H08 70K43 PDFBibTeX XMLCite \textit{Z. Ma} and \textit{J. Xu}, Commun. Math. Phys. 402, No. 1, 1--33 (2023; Zbl 07719647) Full Text: DOI
Delshams, Amadeu; Gonchenko, Marina; Gutiérrez, Pere Correction to: “Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies”. (English) Zbl 1521.37064 Commun. Math. Phys. 401, No. 1, 1059-1060 (2023). MSC: 37J40 37J20 37J25 37J06 70H08 PDFBibTeX XMLCite \textit{A. Delshams} et al., Commun. Math. Phys. 401, No. 1, 1059--1060 (2023; Zbl 1521.37064) Full Text: DOI
Barbieri, Santiago; Marco, Jean-Pierre; Massetti, Jessica Elisa Analytic smoothing and Nekhoroshev estimates for Hölder steep Hamiltonians. (English) Zbl 1514.37080 Commun. Math. Phys. 396, No. 1, 349-381 (2022). Reviewer: Giovanni Rastelli (Vercelli) MSC: 37J40 37J25 37J35 70H08 70H14 PDFBibTeX XMLCite \textit{S. Barbieri} et al., Commun. Math. Phys. 396, No. 1, 349--381 (2022; Zbl 1514.37080) Full Text: DOI arXiv
Andersson, Lars; Bäckdahl, Thomas; Blue, Pieter; Ma, Siyuan Nonlinear radiation gauge for near Kerr spacetimes. (English) Zbl 1512.83003 Commun. Math. Phys. 396, No. 1, 45-90 (2022). MSC: 83C05 83C30 70S15 37F50 83C57 PDFBibTeX XMLCite \textit{L. Andersson} et al., Commun. Math. Phys. 396, No. 1, 45--90 (2022; Zbl 1512.83003) Full Text: DOI arXiv
Arnaud, Marie-Claude; Su, Xifeng On the \(C^1\) and \(C^2\)-convergence to weak K.A.M. solutions. (English) Zbl 1501.37059 Commun. Math. Phys. 392, No. 3, 825-861 (2022). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 70H08 PDFBibTeX XMLCite \textit{M.-C. Arnaud} and \textit{X. Su}, Commun. Math. Phys. 392, No. 3, 825--861 (2022; Zbl 1501.37059) Full Text: DOI arXiv
Jäger, Tobias; Koropecki, Andres; Tal, Fabio Armando On the onset of diffusion in the kicked Harper model. (English) Zbl 1466.37050 Commun. Math. Phys. 383, No. 2, 953-980 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J39 37J11 37E30 37E45 PDFBibTeX XMLCite \textit{T. Jäger} et al., Commun. Math. Phys. 383, No. 2, 953--980 (2021; Zbl 1466.37050) 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
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); correction ibid. 401, No. 1, 1059-1060 (2023). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J20 37J25 37J06 70H08 PDFBibTeX XMLCite \textit{A. Delshams} et al., Commun. Math. Phys. 378, No. 3, 1931--1976 (2020; Zbl 1450.37056) Full Text: DOI arXiv Link
Feola, Roberto; Giuliani, Filippo; Procesi, Michela Reducible KAM tori for the Degasperis-Procesi equation. (English) Zbl 1446.35171 Commun. Math. Phys. 377, No. 3, 1681-1759 (2020). MSC: 35Q53 35Q35 76B15 35B20 35B40 35B34 35S05 37J40 37J11 PDFBibTeX XMLCite \textit{R. Feola} et al., Commun. Math. Phys. 377, No. 3, 1681--1759 (2020; Zbl 1446.35171) Full Text: DOI arXiv
Carrasco, Pablo D. Random products of standard maps. (English) Zbl 1446.37036 Commun. Math. Phys. 377, No. 2, 773-810 (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37D25 37D30 37J40 37H12 PDFBibTeX XMLCite \textit{P. D. Carrasco}, Commun. Math. Phys. 377, No. 2, 773--810 (2020; Zbl 1446.37036) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{L. Niederman} et al., Commun. Math. Phys. 377, No. 1, 551--612 (2020; Zbl 1439.70018) Full Text: DOI arXiv
Wilkinson, Amie; Xue, Jinxin Rigidity of some abelian-by-cyclic solvable group actions on \({\mathbb{T}}^N\). (English) Zbl 1448.37037 Commun. Math. Phys. 376, No. 2, 1223-1259 (2020). Reviewer: Marta Macho Stadler (Leioa) MSC: 37C85 37C15 37E10 37J40 54H15 PDFBibTeX XMLCite \textit{A. Wilkinson} and \textit{J. Xue}, Commun. Math. Phys. 376, No. 2, 1223--1259 (2020; Zbl 1448.37037) Full Text: DOI arXiv
Baldomá, Inmaculada; Fontich, Ernest; Martín, Pau Whiskered parabolic tori in the planar \((n+1)\)-body problem. (English) Zbl 1465.37098 Commun. Math. Phys. 374, No. 1, 63-110 (2020). MSC: 37N05 37J40 70F10 PDFBibTeX XMLCite \textit{I. Baldomá} et al., Commun. Math. Phys. 374, No. 1, 63--110 (2020; Zbl 1465.37098) Full Text: DOI arXiv
Enciso, Alberto; Luque, Alejandro; Peralta-Salas, Daniel Stationary phase methods and the splitting of separatrices. (English) Zbl 1416.34036 Commun. Math. Phys. 368, No. 3, 1297-1322 (2019). MSC: 34C37 34C45 34E10 34C28 37J40 PDFBibTeX XMLCite \textit{A. Enciso} et al., Commun. Math. Phys. 368, No. 3, 1297--1322 (2019; Zbl 1416.34036) Full Text: DOI arXiv
Wang, Kaizhi; Wang, Lin; Yan, Jun Aubry-Mather theory for contact Hamiltonian systems. (English) Zbl 1429.37034 Commun. Math. Phys. 366, No. 3, 981-1023 (2019). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J55 37J51 37J40 70G45 PDFBibTeX XMLCite \textit{K. Wang} et al., Commun. Math. Phys. 366, No. 3, 981--1023 (2019; Zbl 1429.37034) Full Text: DOI
Bernard, Patrick; Suhr, Stefan Lyapounov functions of closed cone fields: from Conley theory to time functions. (English. French summary) Zbl 1391.83010 Commun. Math. Phys. 359, No. 2, 467-498 (2018). MSC: 83C05 53Z05 37J40 54H20 34D08 PDFBibTeX XMLCite \textit{P. Bernard} and \textit{S. Suhr}, Commun. Math. Phys. 359, No. 2, 467--498 (2018; Zbl 1391.83010) Full Text: DOI arXiv HAL
Karaliolios, Nikolaos Continuous spectrum or measurable reducibility for quasiperiodic cocycles in \(\mathbb T^d\times\mathrm{SU}(2)\). (English) Zbl 1388.37005 Commun. Math. Phys. 358, No. 2, 741-766 (2018). Reviewer: Meirong Zhang (Beijing) MSC: 37A20 37H05 37C15 37J40 PDFBibTeX XMLCite \textit{N. Karaliolios}, Commun. Math. Phys. 358, No. 2, 741--766 (2018; Zbl 1388.37005) Full Text: DOI arXiv
Marò, Stefano; Sorrentino, Alfonso Aubry-Mather theory for conformally symplectic systems. (English) Zbl 1380.37117 Commun. Math. Phys. 354, No. 2, 775-808 (2017). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J50 70G75 PDFBibTeX XMLCite \textit{S. Marò} and \textit{A. Sorrentino}, Commun. Math. Phys. 354, No. 2, 775--808 (2017; Zbl 1380.37117) Full Text: DOI arXiv
Gelfreich, Vassili; Turaev, Dmitry Arnold diffusion in a priori chaotic symplectic maps. (English) Zbl 1373.37133 Commun. Math. Phys. 353, No. 2, 507-547 (2017). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J10 37J40 PDFBibTeX XMLCite \textit{V. Gelfreich} and \textit{D. Turaev}, Commun. Math. Phys. 353, No. 2, 507--547 (2017; Zbl 1373.37133) Full Text: DOI Link
Braaksma, Boele; Iooss, Gérard; Stolovitch, Laurent Proof of quasipatterns for the Swift-Hohenberg equation. (English) Zbl 1373.35042 Commun. Math. Phys. 353, No. 1, 37-67 (2017). Reviewer: Guy Katriel (Haifa) MSC: 35B36 35B32 35K58 35K20 PDFBibTeX XMLCite \textit{B. Braaksma} et al., Commun. Math. Phys. 353, No. 1, 37--67 (2017; Zbl 1373.35042) Full Text: DOI
Bounemoura, Abed; Fayad, Bassam; Niederman, Laurent Superexponential stability of quasi-periodic motion in Hamiltonian systems. (English) Zbl 1375.37150 Commun. Math. Phys. 350, No. 1, 361-386 (2017). Reviewer: Tudor Binzar (Timişoara) MSC: 37J25 37J40 70H08 PDFBibTeX XMLCite \textit{A. Bounemoura} et al., Commun. Math. Phys. 350, No. 1, 361--386 (2017; Zbl 1375.37150) Full Text: DOI arXiv
Bedford, Eric; Smillie, John; Ueda, Tetsuo Semi-parabolic bifurcations in complex dimension two. (English) Zbl 1365.37044 Commun. Math. Phys. 350, No. 1, 1-29 (2017). Reviewer: Feng Rong (Shanghai) MSC: 37F45 37F50 32H50 PDFBibTeX XMLCite \textit{E. Bedford} et al., Commun. Math. Phys. 350, No. 1, 1--29 (2017; Zbl 1365.37044) Full Text: DOI Link
Guardia, M.; Kaloshin, Vadim; Zhang, Jian Lu A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems. (English) Zbl 1378.37104 Commun. Math. Phys. 348, No. 1, 321-361 (2016). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 70H08 37D10 PDFBibTeX XMLCite \textit{M. Guardia} et al., Commun. Math. Phys. 348, No. 1, 321--361 (2016; Zbl 1378.37104) Full Text: DOI arXiv Link
Chéritat, Arnaud; Roesch, Pascale Herman’s condition and Siegel disks of bi-critical polynomials. (English) Zbl 1352.37135 Commun. Math. Phys. 344, No. 2, 397-426 (2016). Reviewer: Mohammad Sajid (Buraidah) MSC: 37F10 37F50 30D05 PDFBibTeX XMLCite \textit{A. Chéritat} and \textit{P. Roesch}, Commun. Math. Phys. 344, No. 2, 397--426 (2016; Zbl 1352.37135) Full Text: DOI arXiv
Guzzo, M.; Chierchia, L.; Benettin, G. The steep Nekhoroshev’s theorem. (English) Zbl 1337.37038 Commun. Math. Phys. 342, No. 2, 569-601 (2016). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37J25 37J40 70F15 70E50 70H05 PDFBibTeX XMLCite \textit{M. Guzzo} et al., Commun. Math. Phys. 342, No. 2, 569--601 (2016; Zbl 1337.37038) Full Text: DOI
Arnold, Maxim; Zharnitsky, Vadim Pinball dynamics: unlimited energy growth in switching Hamiltonian systems. (English) Zbl 1343.37049 Commun. Math. Phys. 338, No. 2, 501-521 (2015). MSC: 37J40 37J25 70H06 34A36 34C11 PDFBibTeX XMLCite \textit{M. Arnold} and \textit{V. Zharnitsky}, Commun. Math. Phys. 338, No. 2, 501--521 (2015; Zbl 1343.37049) Full Text: DOI arXiv
Binder, Ilia; Rojas, Cristobal; Yampolsky, Michael Non-computable impressions of computable external rays of quadratic polynomials. (English) Zbl 1347.37091 Commun. Math. Phys. 335, No. 2, 739-757 (2015). MSC: 37F50 37F10 68Q17 PDFBibTeX XMLCite \textit{I. Binder} et al., Commun. Math. Phys. 335, No. 2, 739--757 (2015; Zbl 1347.37091) Full Text: DOI arXiv
Gaidashev, Denis On the scaling ratios for Siegel disks. (English) Zbl 1333.37045 Commun. Math. Phys. 333, No. 2, 931-957 (2015). MSC: 37F25 37F50 37F10 37F30 PDFBibTeX XMLCite \textit{D. Gaidashev}, Commun. Math. Phys. 333, No. 2, 931--957 (2015; Zbl 1333.37045) Full Text: DOI arXiv
You, Jiangong; Zhou, Qi Embedding of analytic quasi-periodic cocycles into analytic quasi-periodic linear systems and its applications. (English) Zbl 1286.37004 Commun. Math. Phys. 323, No. 3, 975-1005 (2013). Reviewer: Meirong Zhang (Beijing) MSC: 37A20 37C55 37J40 34C27 PDFBibTeX XMLCite \textit{J. You} and \textit{Q. Zhou}, Commun. Math. Phys. 323, No. 3, 975--1005 (2013; Zbl 1286.37004) Full Text: DOI arXiv
Cheraghi, Davoud Typical orbits of quadratic polynomials with a neutral fixed point: Brjuno type. (English) Zbl 1323.37033 Commun. Math. Phys. 322, No. 3, 999-1035 (2013). Reviewer: Thomas Gauthier (Amiens) MSC: 37F50 37F25 PDFBibTeX XMLCite \textit{D. Cheraghi}, Commun. Math. Phys. 322, No. 3, 999--1035 (2013; Zbl 1323.37033) Full Text: DOI arXiv
Kaloshin, Vadim; Saprykina, Maria An example of a nearly integrable Hamiltonian system with a trajectory dense in a set of maximal Hausdorff dimension. (English) Zbl 1267.37062 Commun. Math. Phys. 315, No. 3, 643-697 (2012). Reviewer: Ahgel Zhivkov (Sofia) MSC: 37J40 PDFBibTeX XMLCite \textit{V. Kaloshin} and \textit{M. Saprykina}, Commun. Math. Phys. 315, No. 3, 643--697 (2012; Zbl 1267.37062) Full Text: DOI
Binder, Ilia; Braverman, Mark; Rojas, Cristobal; Yampolsky, Michael Computability of Brolin-Lyubich measure. (English) Zbl 1246.37070 Commun. Math. Phys. 308, No. 3, 743-771 (2011). Reviewer: Eugen Mihailescu (Bucureşti) MSC: 37F10 37F50 03F60 03D60 PDFBibTeX XMLCite \textit{I. Binder} et al., Commun. Math. Phys. 308, No. 3, 743--771 (2011; Zbl 1246.37070) Full Text: DOI arXiv
Bounemoura, Abed Effective stability for Gevrey and finitely differentiable prevalent Hamiltonians. (English) Zbl 1253.37057 Commun. Math. Phys. 307, No. 1, 157-183 (2011). MSC: 37J40 70H08 PDFBibTeX XMLCite \textit{A. Bounemoura}, Commun. Math. Phys. 307, No. 1, 157--183 (2011; Zbl 1253.37057) Full Text: DOI arXiv
Corsi, Livia; Gentile, Guido; Procesi, Michela KAM theory in configuration space and cancellations in the Lindstedt series. (English) Zbl 1238.37017 Commun. Math. Phys. 302, No. 2, 359-402 (2011). Reviewer: Vassilios Rothos (Thessaloniki) MSC: 37J40 70H08 PDFBibTeX XMLCite \textit{L. Corsi} et al., Commun. Math. Phys. 302, No. 2, 359--402 (2011; Zbl 1238.37017) Full Text: DOI arXiv
Zhong, Binggui Diffusion speed in piecewise smooth billiards. (English) Zbl 1211.37046 Commun. Math. Phys. 299, No. 2, 503-521 (2010). Reviewer: Joan Porti (Bellaterra) MSC: 37D50 37C25 37J40 PDFBibTeX XMLCite \textit{B. Zhong}, Commun. Math. Phys. 299, No. 2, 503--521 (2010; Zbl 1211.37046) Full Text: DOI
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude A numerical study of Arnold diffusion in a priori unstable systems. (English) Zbl 1185.37143 Commun. Math. Phys. 290, No. 2, 557-576 (2009). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J40 70H08 70-08 PDFBibTeX XMLCite \textit{M. Guzzo} et al., Commun. Math. Phys. 290, No. 2, 557--576 (2009; Zbl 1185.37143) Full Text: DOI
Gelfreich, Vassili; Turaev, Dmitry Unbounded energy growth in Hamiltonian systems with a slowly varying parameter. (English) Zbl 1152.37023 Commun. Math. Phys. 283, No. 3, 769-794 (2008). MSC: 37J40 37D40 70H05 37D25 PDFBibTeX XMLCite \textit{V. Gelfreich} and \textit{D. Turaev}, Commun. Math. Phys. 283, No. 3, 769--794 (2008; Zbl 1152.37023) Full Text: DOI
Fagella, Núria; Garijo, Antonio The parameter planes of \(\lambda z^m \exp(z)\) for \(m \geq 2\). (English) Zbl 1146.37031 Commun. Math. Phys. 273, No. 3, 755-783 (2007). MSC: 37F10 37C70 37F30 37F50 30F99 PDFBibTeX XMLCite \textit{N. Fagella} and \textit{A. Garijo}, Commun. Math. Phys. 273, No. 3, 755--783 (2007; Zbl 1146.37031) Full Text: DOI
Kelmer, Dubi Scarring on invariant manifolds for perturbed quantized hyperbolic toral automorphisms. (English) Zbl 1136.37018 Commun. Math. Phys. 276, No. 2, 381-395 (2007). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37D10 81Q50 37J40 53D05 37D20 PDFBibTeX XMLCite \textit{D. Kelmer}, Commun. Math. Phys. 276, No. 2, 381--395 (2007; Zbl 1136.37018) Full Text: DOI arXiv
Khanin, Kostya; Lopes Dias, João; Marklof, Jens Multidimensional continued fractions, dynamical renormalization and KAM theory. (English) Zbl 1114.37009 Commun. Math. Phys. 270, No. 1, 197-231 (2007). MSC: 37A45 11J70 22F30 37E20 37J40 PDFBibTeX XMLCite \textit{K. Khanin} et al., Commun. Math. Phys. 270, No. 1, 197--231 (2007; Zbl 1114.37009) Full Text: DOI arXiv
Costin, O.; Gallavotti, G.; Gentile, G.; Giuliani, A. Borel summability and Lindstedt series. (English) Zbl 1113.37047 Commun. Math. Phys. 269, No. 1, 175-193 (2007). MSC: 37J40 70H08 PDFBibTeX XMLCite \textit{O. Costin} et al., Commun. Math. Phys. 269, No. 1, 175--193 (2007; Zbl 1113.37047) Full Text: DOI arXiv
Binder, I.; Braverman, M.; Yampolsky, M. On computational complexity of Siegel Julia sets. (English) Zbl 1233.68138 Commun. Math. Phys. 264, No. 2, 317-334 (2006). MSC: 68Q17 03F60 37F10 37F50 PDFBibTeX XMLCite \textit{I. Binder} et al., Commun. Math. Phys. 264, No. 2, 317--334 (2006; Zbl 1233.68138) Full Text: DOI arXiv
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
Levin, Genadi; Światek, Grzegorz Hausdorff dimension of Julia sets of Feigenbaum polynomials with high criticality. (English) Zbl 1080.37055 Commun. Math. Phys. 258, No. 1, 135-148 (2005). MSC: 37F50 37F35 PDFBibTeX XMLCite \textit{G. Levin} and \textit{G. Światek}, Commun. Math. Phys. 258, No. 1, 135--148 (2005; Zbl 1080.37055) Full Text: DOI arXiv
Gentile, Guido; Gallavotti, Giovanni Degenerate elliptic resonances. (English) Zbl 1080.37063 Commun. Math. Phys. 257, No. 2, 319-362 (2005). MSC: 37J40 PDFBibTeX XMLCite \textit{G. Gentile} and \textit{G. Gallavotti}, Commun. Math. Phys. 257, No. 2, 319--362 (2005; Zbl 1080.37063) Full Text: DOI arXiv
Gentile, Guido; Mastropietro, Vieri; Procesi, Michela Periodic solutions for completely resonant nonlinear wave equations with Dirichlet boundary conditions. (English) Zbl 1094.35021 Commun. Math. Phys. 256, No. 2, 437-490 (2005). Reviewer: Michal Fečkan (Bratislava) MSC: 35B10 35L70 35L20 47N20 PDFBibTeX XMLCite \textit{G. Gentile} et al., Commun. Math. Phys. 256, No. 2, 437--490 (2005; Zbl 1094.35021) Full Text: DOI arXiv
Benettin, Giancarlo; Fassò, Francesco; Guzzo, Massimiliano Long term stability of proper rotations of the perturbed Euler rigid body. (English) Zbl 1087.70003 Commun. Math. Phys. 250, No. 1, 133-160 (2004). MSC: 70E20 70E17 70E50 37J40 PDFBibTeX XMLCite \textit{G. Benettin} et al., Commun. Math. Phys. 250, No. 1, 133--160 (2004; Zbl 1087.70003) Full Text: DOI
Evans, Lawrence C. Towards a quantum analog of weak KAM theory. (English) Zbl 1073.81037 Commun. Math. Phys. 244, No. 2, 311-334 (2004). MSC: 81Q10 37J40 37J50 37N20 82B10 70H08 PDFBibTeX XMLCite \textit{L. C. Evans}, Commun. Math. Phys. 244, No. 2, 311--334 (2004; Zbl 1073.81037) Full Text: DOI
Gentile, Guido Quasi-periodic solutions for two-level systems. (English) Zbl 1042.81109 Commun. Math. Phys. 242, No. 1-2, 221-250 (2003). MSC: 81V80 37J40 37N20 PDFBibTeX XMLCite \textit{G. Gentile}, Commun. Math. Phys. 242, No. 1--2, 221--250 (2003; Zbl 1042.81109) Full Text: DOI
Bessi, Ugo Aubry-Mather theory and Hamilton-Jacobi equations. (English) Zbl 1023.37034 Commun. Math. Phys. 235, No. 3, 495-511 (2003). Reviewer: Bruno Scarpellini (Basel) MSC: 37J40 70H20 70H03 37J45 70H05 70H08 70H12 PDFBibTeX XMLCite \textit{U. Bessi}, Commun. Math. Phys. 235, No. 3, 495--511 (2003; Zbl 1023.37034) Full Text: DOI
Berretti, Alberto; Gentile, Guido Periodic and quasi-periodic orbits for the standard map. (English) Zbl 1038.37047 Commun. Math. Phys. 231, No. 1, 135-156 (2002). MSC: 37J40 37E40 37E45 PDFBibTeX XMLCite \textit{A. Berretti} and \textit{G. Gentile}, Commun. Math. Phys. 231, No. 1, 135--156 (2002; Zbl 1038.37047) Full Text: DOI
Berretti, Alberto; Gentile, Guido Bryuno function and the standard map. (English) Zbl 0990.37028 Commun. Math. Phys. 220, No. 3, 623-656 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37E40 37J10 37J40 PDFBibTeX XMLCite \textit{A. Berretti} and \textit{G. Gentile}, Commun. Math. Phys. 220, No. 3, 623--656 (2001; Zbl 0990.37028) Full Text: DOI arXiv
Takahashi, Nobuyoshi Log mirror symmetry and local mirror symmetry. (English) Zbl 1066.14048 Commun. Math. Phys. 220, No. 2, 293-299 (2001). MSC: 14J32 14N10 14C20 PDFBibTeX XMLCite \textit{N. Takahashi}, Commun. Math. Phys. 220, No. 2, 293--299 (2001; Zbl 1066.14048) Full Text: DOI arXiv
Rink, Bob Symmetry and resonance in periodic FPU chains. (English) Zbl 0997.37057 Commun. Math. Phys. 218, No. 3, 665-685 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37K60 37J40 70K45 PDFBibTeX XMLCite \textit{B. Rink}, Commun. Math. Phys. 218, No. 3, 665--685 (2001; Zbl 0997.37057) Full Text: DOI arXiv
Havard, Guillaume; Zinsmeister, Michel Thermodynamic formalism and variations of the Hausdorff dimension of quadratic Julia sets. (English) Zbl 0985.37043 Commun. Math. Phys. 210, No. 1, 225-247 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37F50 37D35 37F10 28A78 PDFBibTeX XMLCite \textit{G. Havard} and \textit{M. Zinsmeister}, Commun. Math. Phys. 210, No. 1, 225--247 (2000; Zbl 0985.37043) Full Text: DOI
Knill, Oliver Weakly mixing invariant tori of Hamiltonian systems. (English) Zbl 0945.37001 Commun. Math. Phys. 204, No. 1, 85-88 (1999). Reviewer: Lev Lerman (Berlin) MSC: 37A25 37K05 37J40 PDFBibTeX XMLCite \textit{O. Knill}, Commun. Math. Phys. 204, No. 1, 85--88 (1999; Zbl 0945.37001) Full Text: DOI
Asch, Joachim; Knauf, Andreas Quantum transport on KAM tori. (English) Zbl 0936.47046 Commun. Math. Phys. 205, No. 1, 113-128 (1999). MSC: 47N50 81Q20 37N20 37J40 47B25 PDFBibTeX XMLCite \textit{J. Asch} and \textit{A. Knauf}, Commun. Math. Phys. 205, No. 1, 113--128 (1999; Zbl 0936.47046) Full Text: DOI arXiv
Gelfreich, V. G. A proof of the exponentially small transversality of the separatrices for the standard map. (English) Zbl 1042.37044 Commun. Math. Phys. 201, No. 1, 155-216 (1999). MSC: 37J40 37J10 37J45 70K44 PDFBibTeX XMLCite \textit{V. G. Gelfreich}, Commun. Math. Phys. 201, No. 1, 155--216 (1999; Zbl 1042.37044) Full Text: DOI
Rogers, James T. jun. Diophantine conditions imply critical points on the boundaries of Siegel disks of polynomials. (English) Zbl 0944.37027 Commun. Math. Phys. 195, No. 1, 175-193 (1998). Reviewer: Wu Shengjian (Beijing) MSC: 37F50 37E45 PDFBibTeX XMLCite \textit{J. T. Rogers jun.}, Commun. Math. Phys. 195, No. 1, 175--193 (1998; Zbl 0944.37027) Full Text: DOI
Göttsche, Lothar A conjectural generating function for numbers of curves on surfaces. (English) Zbl 0934.14038 Commun. Math. Phys. 196, No. 3, 523-533 (1998). MSC: 14N10 14C20 14H50 14J28 PDFBibTeX XMLCite \textit{L. Göttsche}, Commun. Math. Phys. 196, No. 3, 523--533 (1998; Zbl 0934.14038) Full Text: DOI arXiv
You, Jiangong A KAM theorem for hyperbolic-type degenerate lower dimensional tori in Hamiltonian systems. (English) Zbl 0944.37029 Commun. Math. Phys. 192, No. 1, 145-168 (1998). Reviewer: Willy Sarlet (Gent) MSC: 37J40 70H05 PDFBibTeX XMLCite \textit{J. You}, Commun. Math. Phys. 192, No. 1, 145--168 (1998; Zbl 0944.37029) Full Text: DOI
Blokh, Alexander; Misiurewicz, Michał Collet-Eckmann maps are unstable. (English) Zbl 0889.58068 Commun. Math. Phys. 191, No. 1, 61-70 (1998). MSC: 37J40 54H20 PDFBibTeX XMLCite \textit{A. Blokh} and \textit{M. Misiurewicz}, Commun. Math. Phys. 191, No. 1, 61--70 (1998; Zbl 0889.58068) Full Text: DOI
Cheng, Chongqing Birkhoff-Kolmogorov-Arnold-Moser tori in convex Hamiltonian systems. (English) Zbl 0861.58030 Commun. Math. Phys. 177, No. 3, 529-559 (1996). Reviewer: W.Sarlet (Gent) MSC: 37J40 37J99 37C55 34C30 PDFBibTeX XMLCite \textit{C. Cheng}, Commun. Math. Phys. 177, No. 3, 529--559 (1996; Zbl 0861.58030) Full Text: DOI
Bloch, Anthony; Krishnaprasad, P. S.; Marsden, Jerrold E.; Ratiu, Tudor S. The Euler-Poincaré equations and double bracket dissipation. (English) Zbl 0846.58048 Commun. Math. Phys. 175, No. 1, 1-42 (1996). MSC: 37J40 37N99 37J99 PDFBibTeX XMLCite \textit{A. Bloch} et al., Commun. Math. Phys. 175, No. 1, 1--42 (1996; Zbl 0846.58048) Full Text: DOI
Baladi, V.; Young, L.-S. Erratum: On the spectra of randomly perturbed expanding maps. (English) Zbl 0814.60102 Commun. Math. Phys. 166, No. 1, 219-220 (1994). MSC: 60K40 37J40 PDFBibTeX XMLCite \textit{V. Baladi} and \textit{L. S. Young}, Commun. Math. Phys. 166, No. 1, 219--220 (1994; Zbl 0814.60102) Full Text: DOI
Gallavotti, Giovanni Twistless KAM tori. (English) Zbl 0805.58054 Commun. Math. Phys. 164, No. 1, 145-156 (1994). MSC: 37J40 70H08 PDFBibTeX XMLCite \textit{G. Gallavotti}, Commun. Math. Phys. 164, No. 1, 145--156 (1994; Zbl 0805.58054) Full Text: DOI arXiv
Baladi, V.; Young, L.-S. On the spectra of randomly perturbed expanding maps. (English) Zbl 0809.60101 Commun. Math. Phys. 156, No. 2, 355-385 (1993). Reviewer: J.Schmeling (Berlin) MSC: 60K40 37J40 PDFBibTeX XMLCite \textit{V. Baladi} and \textit{L. S. Young}, Commun. Math. Phys. 156, No. 2, 355--385 (1993; Zbl 0809.60101) Full Text: DOI
Albanese, Claudio; Fröhlich, Jürg Perturbation theory for periodic orbits in a class of infinite dimensional Hamiltonian systems. (English) Zbl 0731.58029 Commun. Math. Phys. 138, No. 1, 193-205 (1991). Reviewer: F.Neuman (Brno) MSC: 37J99 37G99 37J40 PDFBibTeX XMLCite \textit{C. Albanese} and \textit{J. Fröhlich}, Commun. Math. Phys. 138, No. 1, 193--205 (1991; Zbl 0731.58029) Full Text: DOI
Levin, G. M.; Sodin, M. L.; Yuditskij, P. M. A Ruelle operator for a real Julia set. (English) Zbl 0749.58039 Commun. Math. Phys. 141, No. 1, 119-132 (1991). Reviewer: Th.M.Rassias (Athens) MSC: 37D99 30D05 37J40 PDFBibTeX XMLCite \textit{G. M. Levin} et al., Commun. Math. Phys. 141, No. 1, 119--132 (1991; Zbl 0749.58039) Full Text: DOI
Voronov, A. A. A unified approach to string scattering amplitudes. (English) Zbl 0704.32007 Commun. Math. Phys. 131, No. 1, 179-218 (1990). Reviewer: S.J.Edixhoven MSC: 32G81 14H10 81T30 32L05 32L81 32G15 32G05 PDFBibTeX XMLCite \textit{A. A. Voronov}, Commun. Math. Phys. 131, No. 1, 179--218 (1990; Zbl 0704.32007) Full Text: DOI
Pöschel, Jürgen Small divisors with spatial structure in infinite dimensional Hamiltonian systems. (English) Zbl 0702.58065 Commun. Math. Phys. 127, No. 2, 351-393 (1990). MSC: 37J40 37J99 37J35 37K10 PDFBibTeX XMLCite \textit{J. Pöschel}, Commun. Math. Phys. 127, No. 2, 351--393 (1990; Zbl 0702.58065) Full Text: DOI
Graffi, Sandro; Parmeggiani, Alberto Quantum evolution and classical flow in complex phase space. (English) Zbl 0692.58058 Commun. Math. Phys. 128, No. 2, 393-409 (1990). MSC: 58Z05 37J40 81Q05 PDFBibTeX XMLCite \textit{S. Graffi} and \textit{A. Parmeggiani}, Commun. Math. Phys. 128, No. 2, 393--409 (1990; Zbl 0692.58058) Full Text: DOI
Fisch, Jean M. L.; Henneaux, Marc Homological perturbation theory and the algebraic structure of the antifield-antibracket formalism for gauge theories. (English) Zbl 0692.58045 Commun. Math. Phys. 128, No. 3, 627-640 (1990). MSC: 58Z05 37J40 81T08 PDFBibTeX XMLCite \textit{J. M. L. Fisch} and \textit{M. Henneaux}, Commun. Math. Phys. 128, No. 3, 627--640 (1990; Zbl 0692.58045) Full Text: DOI
Hurd, T. R. A renormalization group proof of perturbative renormalizability. (English) Zbl 0702.58085 Commun. Math. Phys. 124, No. 1, 153-168 (1989). MSC: 58Z05 37J40 81T17 PDFBibTeX XMLCite \textit{T. R. Hurd}, Commun. Math. Phys. 124, No. 1, 153--168 (1989; Zbl 0702.58085) Full Text: DOI
Kifer, Yuri Attractors via random perturbations. (English) Zbl 0702.58041 Commun. Math. Phys. 121, No. 3, 445-455 (1989). Reviewer: F.Neuman MSC: 37C70 37A99 37J40 PDFBibTeX XMLCite \textit{Y. Kifer}, Commun. Math. Phys. 121, No. 3, 445--455 (1989; Zbl 0702.58041) Full Text: DOI
Celletti, Alessandra; Chierchia, Luigi Construction of analytic KAM-surfaces and effective stability bounds. (English) Zbl 0657.58032 Commun. Math. Phys. 118, No. 1, 119-161 (1988). Reviewer: A.Givental’ MSC: 37J40 37C55 70H15 PDFBibTeX XMLCite \textit{A. Celletti} and \textit{L. Chierchia}, Commun. Math. Phys. 118, No. 1, 119--161 (1988; Zbl 0657.58032) Full Text: DOI
Pollicott, Mark Margulis distributions for Anosov flows. (English) Zbl 0633.58037 Commun. Math. Phys. 113, 137-154 (1987). Reviewer: D.Repovš MSC: 37C10 42A38 58C35 37J40 PDFBibTeX XMLCite \textit{M. Pollicott}, Commun. Math. Phys. 113, 137--154 (1987; Zbl 0633.58037) Full Text: DOI
Wayne, C. Eugene The KAM theory of systems with short range interactions. II. (English) Zbl 0595.58022 Commun. Math. Phys. 96, 331-344 (1984). Reviewer: M.A.Perelmuter MSC: 37J99 37J40 PDFBibTeX XMLCite \textit{C. E. Wayne}, Commun. Math. Phys. 96, 331--344 (1984; Zbl 0595.58022) Full Text: DOI
Eckmann, J.-P.; Epstein, H.; Wittwer, P. Fixed points of Feigenbaum’s type for the equation \(f^ p(\lambda x)\equiv \lambda f(x)\). (English) Zbl 0565.58031 Commun. Math. Phys. 93, 495-516 (1984). Reviewer: V.Sobolev MSC: 37J40 39B12 47H10 26A18 PDFBibTeX XMLCite \textit{J. P. Eckmann} et al., Commun. Math. Phys. 93, 495--516 (1984; Zbl 0565.58031) Full Text: DOI
Ruelle, David Small random perturbations of dynamical systems and the definition of attractors. (English) Zbl 0482.58017 Commun. Math. Phys. 82, 137-151 (1981). MSC: 37C70 37D45 37J40 54H20 PDFBibTeX XMLCite \textit{D. Ruelle}, Commun. Math. Phys. 82, 137--151 (1981; Zbl 0482.58017) Full Text: DOI
Newhouse, S.; Ruelle, D.; Takens, F. Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\). (English) Zbl 0396.58029 Commun. Math. Phys. 64, 35-40 (1978). MSC: 37C55 37D99 37J40 PDFBibTeX XMLCite \textit{S. Newhouse} et al., Commun. Math. Phys. 64, 35--40 (1978; Zbl 0396.58029) Full Text: DOI