Neagu, Mircea; Oană, Alexandru Dual jet geometrization for time-dependent Hamiltonians and applications. (English) Zbl 1516.37001 Synthesis Lectures on Mathematics & Statistics. Cham: Springer (ISBN 978-3-031-08884-1/hbk; 978-3-031-08887-2/pbk; 978-3-031-08885-8/ebook). xii, 86 p. (2022). Reviewer: Anatoliy K. Prykarpatsky (Kraków) MSC: 37-02 70-02 37J06 37J39 37K06 53D05 53D20 70G10 70G45 × Cite Format Result Cite Review PDF Full Text: DOI
Fecko, Marián Integral invariants (Poincaré-Cartan) and hydrodynamics. (English) Zbl 1426.53101 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2–8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th “School of geometry and physics”. Cham: Birkhäuser. Trends Math., 377-382 (2019). MSC: 53Z05 76B47 × Cite Format Result Cite Review PDF Full Text: DOI
Biswas, Kingshook; Maity, Soma Differential topology and differential geometry. (English) Zbl 1390.57011 Bhattacharjee, Somendra Mohan (ed.) et al., Topology and condensed matter physics. Singapore: Springer; New Delhi: Hindustan Book Agency (ISBN 978-981-10-6840-9/hbk; 978-981-13-4958-4/pbk; 978-981-10-6841-6/ebook). Texts and Readings in Physical Sciences 19, 79-108 (2017). MSC: 57N15 53C15 58A05 53C23 70G40 × Cite Format Result Cite Review PDF Full Text: DOI
Schwarz, Martin jun. Commuting flows and infinite-dimensional tori: sine-Gordon. (English) Zbl 1386.35372 J. Nonlinear Sci. 27, No. 5, 1379-1398 (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 37K10 35R15 35B10 × Cite Format Result Cite Review PDF Full Text: DOI
Holm, Darryl D.; Schmah, Tanya; Stoica, Cristina Geometric mechanics and symmetry. From finite to infinite dimensions. (English) Zbl 1175.70001 Oxford Texts in Applied and Engineering Mathematics 12. Oxford: Oxford University Press (ISBN 978-0-19-921291-0/pbk; 978-0-19-921290-3/hbk). xvi, 515 p. (2009). Reviewer: Giuseppe Gaeta (Milano) MSC: 70-01 37-01 70G45 37J15 37Jxx 37K05 37K10 37N10 53D05 70G40 70G65 × Cite Format Result Cite Review PDF
Spivak, Michael Elementary mechanics from a mathematican’s viewpoint. (English) Zbl 1090.70001 Seminar on Mathematical Sciences 29. Keio: Keio University, Department of Mathematics. 101 p. (2004). Reviewer: Hans Troger (Wien) MSC: 70-01 70Exx 70F20 70F25 × Cite Format Result Cite Review PDF
Egorov, Yu. V. On the Lagrange problem of the optimal form for circular hollow columns. (English) Zbl 1140.74525 Russ. J. Math. Phys. 10, No. 4, 411-421 (2003). Reviewer: Vadim Komkov (Florida) (MR2096603) MSC: 74P05 74G60 74K10 × Cite Format Result Cite Review PDF
Salvai, Marcos Force free conformal motions of the sphere. (English) Zbl 1036.53026 Differ. Geom. Appl. 16, No. 3, 285-292 (2002). Reviewer: Jean-François Quint (Villeurbanne) MSC: 53C22 22E99 70E15 70G45 × Cite Format Result Cite Review PDF Full Text: DOI
Gugat, Martin Controllability of a slowly rotating Timoshenko beam. (English) Zbl 1031.93103 ESAIM, Control Optim. Calc. Var. 6, 333-360 (2001). Reviewer: Vadim Komkov (Florida) MSC: 93C20 93B05 93B60 74K10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Sinai, Ya. G. Stochasticity of smooth dynamical systems the elements of KAM-theory. (English) Zbl 1417.37030 Bunimovich, L. A. et al., Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. Encyclopaedia of Mathematical Sciences, 100. Mathematical Physics 1. Berlin: Springer. 106-112 (2000). MSC: 37-02 37Jxx × Cite Format Result Cite Review PDF
Wiersig, Jan Ellipsoidal billiards with isotropic harmonic potentials. (English) Zbl 0984.37065 Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, No. 9, 2075-2098 (2000). Reviewer: Boris V.Loginov (Ankara) MSC: 37J35 70H06 × Cite Format Result Cite Review PDF Full Text: DOI
Udrişte, Constantin Geometric dynamics. (English) Zbl 1087.37002 Mathematics and its Applications (Dordrecht) 513. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6401-5/hbk). xvi, 395 p. (2000). Reviewer: Yuri V. Rogovchenko (Famagusta) MSC: 37-02 37Cxx 37Dxx × Cite Format Result Cite Review PDF
Kucherenko, V. V.; Maslov, V. P. The spectrum of normalized forms of quadratic Bose operators. (English. Russian original) Zbl 0969.81017 Dokl. Math. 55, No. 3, 328-330 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 354, No. 1, 18-20 (1997). MSC: 81Q10 × Cite Format Result Cite Review PDF
Arnold, V. I. Contact geometry and wave propagation. (English) Zbl 0715.53002 Enseign. Math., II. Sér. 36, No. 3-4, 215-266 (1990). MSC: 53-02 53C15 58H05 78A05 35L99 70G45 × Cite Format Result Cite Review PDF
Zak, M. Hydrodynamic stability and frames of reference. (English) Zbl 0698.76053 Math. Comput. Modelling 13, No. 1, 33-37 (1990). MSC: 76E05 76A05 × Cite Format Result Cite Review PDF Full Text: DOI
Arnold, V. I. Contact geometry and wave propagation. Lectures given at the University of Oxford in November and December 1988 under the sponsorship of the International Mathematical Union. (English) Zbl 0694.53001 Monographie de L’Enseignement Mathématique, 34: Série des Conférences de l’Union Mathématique Internationale, 9. Genève: Univ. de Genève, L’Enseignement Mathématique. 56 p. sFr. 27.00 (1989). Reviewer: E.A.Lacomba MSC: 53-02 53C15 78A05 35L99 70G45 58H05 × Cite Format Result Cite Review PDF
Lewis, Debra Nonlinear stability of a rotating planar liquid drop. (English) Zbl 0697.76067 Arch. Ration. Mech. Anal. 106, No. 4, 287-333 (1989). MSC: 76E30 76U05 70H99 × Cite Format Result Cite Review PDF Full Text: DOI
Mengzhao, Qin Canonical difference scheme for the Hamiltonian equation. (English) Zbl 0683.70018 Math. Methods Appl. Sci. 11, No. 4, 543-557 (1989). MSC: 70H15 37J99 70G45 × Cite Format Result Cite Review PDF Full Text: DOI
Arnol’d, V. I. Mathematische Methoden der klassischen Mechanik. Übers. aus dem Russ. von Peter Möbius. Erw. Ausgabe. (German) Zbl 0647.70002 Basel etc.: Birkhäuser Verlag; Berlin (GDR): VEB Deutscher Verlag der Wissenschaften. 520 S. DM 78.00 (1988). Reviewer: J.Lorenz MSC: 70-02 37J99 70Hxx × Cite Format Result Cite Review PDF
Marchioro, Carlo; Moauro, Vinicio A remark on the stability problem in fluid dynamics. (English) Zbl 0626.76056 J. Math. Anal. Appl. 128, 413-418 (1987). MSC: 76E25 76X05 76A02 × Cite Format Result Cite Review PDF Full Text: DOI
Lukatskij, A. M. Curvature of the group of measure-preserving diffeomorphisms of the n- dimensional torus. (English) Zbl 0596.58011 Sib. Math. J. 25, 893-903 (1984). MSC: 58D05 37C75 × Cite Format Result Cite Review PDF Full Text: DOI
Lukatskij, A. M. On the curvature of the group of diffeomorphisms preserving the measure of an \(n\)-dimensional torus. (Russian) Zbl 0582.58007 Sib. Mat. Zh. 25, No. 6(148), 76-88 (1984). Reviewer: D.McDuff MSC: 58D05 37C75 × Cite Format Result Cite Review PDF Full Text: EuDML
Abrarov, D. L. Topological obstacles to the existence of conditionally linear integrals. (English. Russian original) Zbl 0576.58009 Mosc. Univ. Mech. Bull. 39, No. 6, 15-19 (1984); translation from Vestn. Mosk. Univ., Ser. I 1984, No. 6, 72-75 (1984). Reviewer: B.Schomburg MSC: 37J99 70H99 × Cite Format Result Cite Review PDF
Zehnder, Eduard Fixed points of symplectic maps and a classical variational principle for forced oscillations. (English) Zbl 0569.58007 Perspectives in mathematics, Anniv. Oberwolfach 1984, 573-587 (1984). Reviewer: B.A.Shcherbakov and V.A.Glavan MSC: 58C30 47H10 58E30 × Cite Format Result Cite Review PDF
Conley, C. C.; Zehnder, E. The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold. (English) Zbl 0516.58017 Invent. Math. 73, 33-49 (1983). MSC: 37J99 37G99 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Arnold, V. I.; Shandarin, S. F.; Zeldovich, Ya. B. The large scale structure of the Universe. I. General properties. One- and two-dimensional models. (English) Zbl 0542.76058 Geophys. Astrophys. Fluid Dyn. 20, 111-130 (1982). MSC: 76E20 85A05 83F05 76Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Olver, Peter J. A nonlinear Hamiltonian structure for the Euler equations. (English) Zbl 0534.76035 J. Math. Anal. Appl. 89, 233-250 (1982). Reviewer: G.Minea MSC: 76B99 70H05 × Cite Format Result Cite Review PDF Full Text: DOI
Losco, Lucette Un exemple de système non holonome à liaison de Tchetayev. (French) Zbl 0516.70025 C. R. Acad. Sci., Paris, Sér. I 295, 635-637 (1982). MSC: 70H20 70F25 70H05 × Cite Format Result Cite Review PDF
Arnol’d, V. I. Mathematical methods of classical mechanics (Metody matematyczne mechaniki klasycznej). Transl. from the Russian by Piotr Kucharczyk. (Polish) Zbl 0572.70001 Warszawa: Państwowe Wydawnictwo Naukowe (PWN). 430 p. (1981). MSC: 70-01 37J99 × Cite Format Result Cite Review PDF
Fusco, Giorgio Moto di una particella sulla superficie piana di un solido: Lo schema dell’elemento vincolato come limite di una famiglia di schemi liberi. (Italian) Zbl 0476.70004 Pubbl. Ist. Mat. Appl., Univ. Studi Roma, Fac. Ing. 218, Quad. 15, 33-50 (1980). MSC: 70F99 70H99 × Cite Format Result Cite Review PDF
Kirpichnikov, S. N. On generating functions of canonical transformations. (Russian) Zbl 0437.70016 Vestn. Leningr. Univ. 1980, No. 1, Mat. Mekh. Astron. 1980, No. 1, 109-111 (1980). MSC: 70H15 × Cite Format Result Cite Review PDF
Arnold, Vladimir Igorevich Metodi matematici della meccanica classica. Traduzione dal russo di Roberto Bernieri e Brunello Tirozzi. (Italian) Zbl 0399.70002 Nuova Biblioteca di Cultura. Serie scientifica. Roma: Editori Riuniti. Mosca: Edizioni Mir. 478 p. R. 3.24 (1979). MSC: 70-01 × Cite Format Result Cite Review PDF
Abraham, Ralph; Marsden, Jerrold E. Foundations of mechanics. 2nd ed., rev., enl., and reset. With the assistance of Tudor Ratiu and Richard Cushman. (English) Zbl 0393.70001 Reading, Massachusetts: The Benjamin/Cummings Publishing Company, Inc., Advanced Book Program. m-XVI, XXII, 806 p. $ 36.50 (1978). MSC: 70-02 70Fxx 37Cxx 70Hxx 35L05 70Gxx × Cite Format Result Cite Review PDF
Arnol’d, V. I. Mathematical methods of classical mechanics. (Математические методы классической механики.) (Russian) Zbl 0647.70001 Moskva: Nauka. 431 p. R. 1.10 (1974). Reviewer: Jürgen Lorenz (Berlin) MSC: 70-02 70Hxx 37N05 × Cite Format Result Cite Review PDF