Radnović, Milena Topology of the elliptical billiard with the Hooke’s potential. (English) Zbl 1461.37063 Theor. Appl. Mech. (Belgrade) 42, No. 1, 1-9 (2015). MSC: 37J39 37J35 37C83 PDFBibTeX XMLCite \textit{M. Radnović}, Theor. Appl. Mech. (Belgrade) 42, No. 1, 1--9 (2015; Zbl 1461.37063) Full Text: DOI arXiv
Liu, Weiyan; Zhu, Weiqiu Lyapunov function method for analyzing stability of quasi-Hamiltonian systems under combined Gaussian and Poisson white noise excitations. (English) Zbl 1348.37023 Nonlinear Dyn. 81, No. 4, 1879-1893 (2015). MSC: 37B25 70H08 70H06 70K65 PDFBibTeX XMLCite \textit{W. Liu} and \textit{W. Zhu}, Nonlinear Dyn. 81, No. 4, 1879--1893 (2015; Zbl 1348.37023) Full Text: DOI
Leonel, Edson D.; Penalva, Julia; Teixeira, Rivânia M. N.; Costa Filho, Raimundo N.; Silva, Mário R.; de Oliveira, Juliano A. A dynamical phase transition for a family of Hamiltonian mappings: a phenomenological investigation to obtain the critical exponents. (English) Zbl 1343.37048 Phys. Lett., A 379, No. 32-33, 1808-1815 (2015). MSC: 37J35 37J40 70K55 PDFBibTeX XMLCite \textit{E. D. Leonel} et al., Phys. Lett., A 379, No. 32--33, 1808--1815 (2015; Zbl 1343.37048) Full Text: DOI
Cong, Fuzhong; Li, Hongtian Quasi-effective stability for a nearly integrable volume-preserving mapping. (English) Zbl 1333.37085 Discrete Contin. Dyn. Syst., Ser. B 20, No. 7, 1959-1970 (2015). MSC: 37J40 37E40 37J25 PDFBibTeX XMLCite \textit{F. Cong} and \textit{H. Li}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 7, 1959--1970 (2015; Zbl 1333.37085) Full Text: DOI
Pinzari, Gabriella Global Kolmogorov tori in the planetary \(N\)-body problem. Announcement of result. (English) Zbl 1367.70050 Electron. Res. Announc. Math. Sci. 22, 55-75 (2015). MSC: 70K43 34D10 37J40 70F10 PDFBibTeX XMLCite \textit{G. Pinzari}, Electron. Res. Announc. Math. Sci. 22, 55--75 (2015; Zbl 1367.70050) Full Text: DOI arXiv
Fassò, Francesco; Fontanari, Daniele; Sadovskií, Dmitrií A. An application of Nekhoroshev theory to the study of the perturbed hydrogen atom. (English) Zbl 1337.37042 Math. Phys. Anal. Geom. 18, No. 1, Article ID 30, 23 p. (2015). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37J40 70H08 70F05 81V45 37J05 PDFBibTeX XMLCite \textit{F. Fassò} et al., Math. Phys. Anal. Geom. 18, No. 1, Article ID 30, 23 p. (2015; Zbl 1337.37042) 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
Bambusi, Dario; Carati, Andrea; Maiocchi, Alberto; Maspero, Alberto Some analytic results on the FPU paradox. (English) Zbl 1339.37074 Guyenne, Philippe (ed.) et al., Hamiltonian partial differential equations and applications. Selected papers based on the presentations at the conference on Hamiltonian PDEs: analysis, computations and applications, Toronto, Canada, January 10–12, 2014. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-2949-8/hbk; 978-1-4939-2950-4/ebook). Fields Institute Communications 75, 235-254 (2015). MSC: 37K55 37K10 37M05 80A10 PDFBibTeX XMLCite \textit{D. Bambusi} et al., Fields Inst. Commun. 75, 235--254 (2015; Zbl 1339.37074) Full Text: DOI arXiv
Lu, Lin; Li, Xuemei Existence of quasi-periodic solutions of fast excited van der Pol-Mathieu-Duffing equation. (English) Zbl 1388.37068 J. Math. Phys. 56, No. 12, 122703, 18 p. (2015). MSC: 37J40 70H08 70K43 70K70 70K28 PDFBibTeX XMLCite \textit{L. Lu} and \textit{X. Li}, J. Math. Phys. 56, No. 12, 122703, 18 p. (2015; Zbl 1388.37068) Full Text: DOI
Biasco, Luca; Chierchia, Luigi On the measure of Lagrangian invariant tori in nearly-integrable mechanical systems. (English) Zbl 1361.37059 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 26, No. 4, 423-432 (2015). MSC: 37J40 70H08 PDFBibTeX XMLCite \textit{L. Biasco} and \textit{L. Chierchia}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 26, No. 4, 423--432 (2015; Zbl 1361.37059) Full Text: DOI arXiv
Fortunati, Alessandro; Wiggins, Stephen A Kolmogorov theorem for nearly integrable Poisson systems with asymptotically decaying time-dependent perturbation. (English) Zbl 1353.70046 Regul. Chaotic Dyn. 20, No. 4, 476-485 (2015). MSC: 70H08 70G45 37J40 53D17 37J25 PDFBibTeX XMLCite \textit{A. Fortunati} and \textit{S. Wiggins}, Regul. Chaotic Dyn. 20, No. 4, 476--485 (2015; Zbl 1353.70046) Full Text: DOI arXiv
Kaloshin, V.; Zhang, K. Arnold diffusion for smooth convex systems of two and a half degrees of freedom. (English) Zbl 1334.37067 Nonlinearity 28, No. 8, 2699-2720 (2015). MSC: 37J40 37J45 37J50 70H08 PDFBibTeX XMLCite \textit{V. Kaloshin} and \textit{K. Zhang}, Nonlinearity 28, No. 8, 2699--2720 (2015; Zbl 1334.37067) Full Text: DOI Link
Méndez-Bermúdez, J. A.; Martínez-Mendoza, A. J.; Livorati, André L. P.; Leonel, Edson D. Leaking of trajectories from the phase space of discontinuous dynamics. (English) Zbl 1352.37165 J. Phys. A, Math. Theor. 48, No. 40, Article ID 405101, 10 p. (2015). MSC: 37J40 37J30 70H08 PDFBibTeX XMLCite \textit{J. A. Méndez-Bermúdez} et al., J. Phys. A, Math. Theor. 48, No. 40, Article ID 405101, 10 p. (2015; Zbl 1352.37165) Full Text: DOI Link
Canadell, Marta; Haro, Àlex Parameterization method for computing quasi-periodic reducible normally hyperbolic invariant tori. (English) Zbl 1360.37151 Casas, Fernando (ed.) et al., Advances in differential equations and applications. Selected contributions given at the 23rd congress on differential equations and applications, CEDYA/13th congress of applied mathematics, CMA, September 9–13, 2013. Cham: Springer (ISBN 978-3-319-06952-4/hbk; 978-3-319-06953-1/ebook). SEMA SIMAI Springer Series 4, 85-94 (2015). MSC: 37J40 70H08 37M25 PDFBibTeX XMLCite \textit{M. Canadell} and \textit{À. Haro}, SEMA SIMAI Springer Ser. 4, 85--94 (2015; Zbl 1360.37151) Full Text: DOI
Zhuang, Kaige; Du, Zengji; Lin, Xiaojie Solitary waves solutions of singularly perturbed higher-order KdV equation via geometric singular perturbation method. (English) Zbl 1345.35007 Nonlinear Dyn. 80, No. 1-2, 629-635 (2015). MSC: 35B25 35Q53 37K10 37C29 PDFBibTeX XMLCite \textit{K. Zhuang} et al., Nonlinear Dyn. 80, No. 1--2, 629--635 (2015; Zbl 1345.35007) Full Text: DOI
Zhang, Dongfeng; Xu, Junxiang On invariant tori of vector field under weaker non-degeneracy condition. (English) Zbl 1358.37101 NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 5, 1381-1394 (2015). MSC: 37J40 70H08 70K43 PDFBibTeX XMLCite \textit{D. Zhang} and \textit{J. Xu}, NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 5, 1381--1394 (2015; Zbl 1358.37101) Full Text: DOI
Gentile, Guido Invariant curves for exact symplectic twist maps of the cylinder with Bryuno rotation numbers. (English) Zbl 1333.37087 Nonlinearity 28, No. 7, 2555-2585 (2015). MSC: 37J40 37E40 37J10 37E20 70H08 PDFBibTeX XMLCite \textit{G. Gentile}, Nonlinearity 28, No. 7, 2555--2585 (2015; Zbl 1333.37087) Full Text: DOI arXiv
Medvedev, A. G.; Neishtadt, A. I.; Treschev, D. V. Lagrangian tori near resonances of near-integrable Hamiltonian systems. (English) Zbl 1378.70021 Nonlinearity 28, No. 7, 2105-2130 (2015). MSC: 70H08 37J40 PDFBibTeX XMLCite \textit{A. G. Medvedev} et al., Nonlinearity 28, No. 7, 2105--2130 (2015; Zbl 1378.70021) Full Text: DOI arXiv Link
Cresson, Jacky; Wiggins, Stephen A \(\lambda\)-lemma for normally hyperbolic invariant manifolds. (English) Zbl 1331.37034 Regul. Chaotic Dyn. 20, No. 1, 94-108 (2015). MSC: 37D10 37J40 70H08 PDFBibTeX XMLCite \textit{J. Cresson} and \textit{S. Wiggins}, Regul. Chaotic Dyn. 20, No. 1, 94--108 (2015; Zbl 1331.37034) Full Text: DOI arXiv
Schirinzi, Gabriella; Guzzo, Massimiliano Numerical verification of the steepness of three and four degrees of freedom Hamiltonian systems. (English) Zbl 1372.70040 Regul. Chaotic Dyn. 20, No. 1, 1-18 (2015). MSC: 70F15 70H08 37J40 PDFBibTeX XMLCite \textit{G. Schirinzi} and \textit{M. Guzzo}, Regul. Chaotic Dyn. 20, No. 1, 1--18 (2015; Zbl 1372.70040) 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
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
Fontich, Ernest; de la Llave, Rafael; Sire, Yannick Construction of invariant whiskered tori by a parameterization method. II: Quasi-periodic and almost periodic breathers in coupled map lattices. (English) Zbl 1351.37258 J. Differ. Equations 259, No. 6, 2180-2279 (2015). MSC: 37K60 35Q70 37J40 37D05 70H08 70K43 PDFBibTeX XMLCite \textit{E. Fontich} et al., J. Differ. Equations 259, No. 6, 2180--2279 (2015; Zbl 1351.37258) Full Text: DOI arXiv
Sorrentino, Alfonso Action-minimizing methods in Hamiltonian dynamics. An introduction to Aubry-Mather theory. (English) Zbl 1373.37002 Mathematical Notes (Princeton) 50. Princeton, NJ: Princeton University Press (ISBN 978-0-691-16450-2/pbk; 978-1-400-86661-8/ebook). xi, 115 p. (2015). Reviewer: Vassili Gelfreich (Warwick) MSC: 37-02 37J50 37J45 37J40 70H08 PDFBibTeX XMLCite \textit{A. Sorrentino}, Action-minimizing methods in Hamiltonian dynamics. An introduction to Aubry-Mather theory. Princeton, NJ: Princeton University Press (2015; Zbl 1373.37002) Full Text: DOI
Verhulst, Ferdinand Integrability and non-integrability of Hamiltonian normal forms. (English) Zbl 1371.37117 Acta Appl. Math. 137, No. 1, 253-272 (2015). MSC: 37J40 37J35 37M10 70H07 PDFBibTeX XMLCite \textit{F. Verhulst}, Acta Appl. Math. 137, No. 1, 253--272 (2015; Zbl 1371.37117) Full Text: DOI
Hanßmann, Heinz Perturbations of superintegrable systems. (English) Zbl 1314.37045 Acta Appl. Math. 137, No. 1, 79-95 (2015). MSC: 37J40 PDFBibTeX XMLCite \textit{H. Hanßmann}, Acta Appl. Math. 137, No. 1, 79--95 (2015; Zbl 1314.37045) Full Text: DOI
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
Harsoula, M.; Contopoulos, G.; Efthymiopoulos, C. Analytical description of the structure of chaos. (English) Zbl 1365.37048 J. Phys. A, Math. Theor. 48, No. 13, Article ID 135102, 20 p. (2015). MSC: 37J10 37M20 37J40 37J35 65P20 PDFBibTeX XMLCite \textit{M. Harsoula} et al., J. Phys. A, Math. Theor. 48, No. 13, Article ID 135102, 20 p. (2015; Zbl 1365.37048) Full Text: DOI arXiv
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
Guardia, M.; Kaloshin, Vadim Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation. (English) Zbl 1311.35284 J. Eur. Math. Soc. (JEMS) 17, No. 1, 71-149 (2015). MSC: 35Q55 37K55 37K60 PDFBibTeX XMLCite \textit{M. Guardia} and \textit{V. Kaloshin}, J. Eur. Math. Soc. (JEMS) 17, No. 1, 71--149 (2015; Zbl 1311.35284) Full Text: DOI arXiv
Pucacco, Giuseppe Polynomial separable indefinite natural systems. (English) Zbl 1400.34067 J. Geom. Phys. 87, 382-395 (2015). MSC: 34C29 37J35 37J40 70H08 PDFBibTeX XMLCite \textit{G. Pucacco}, J. Geom. Phys. 87, 382--395 (2015; Zbl 1400.34067) Full Text: DOI