Xue, Jinxin On the Painlevé conjecture. (English) Zbl 1515.37003 Jerison, David (ed.) et al., Current developments in mathematics 2020. Papers based on selected lectures given at the current developments mathematics conference, Harvard University, Cambridge, MA, USA, January 2021. Somerville, MA: International Press. 157-206 (2022). Reviewer: Yousuke Ohyama (Tokushima) MSC: 37-02 70-02 37J30 70F05 70F07 70F10 34M35 34M55 PDFBibTeX XMLCite \textit{J. Xue}, in: Current developments in mathematics 2020. Papers based on selected lectures given at the current developments mathematics conference, Harvard University, Cambridge, MA, USA, January 2021. Somerville, MA: International Press. 157--206 (2022; Zbl 1515.37003)
Szumiński, Wojciech; Stachowiak, Tomasz Analysis of a constrained two-body problem. (English) Zbl 1397.70029 Awrejcewicz, Jan (ed.), Dynamical systems: theoretical and experimental analysis, Łódź, Poland, December 7–10, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-42407-1/hbk; 978-3-319-42408-8/ebook). Springer Proceedings in Mathematics & Statistics 182, 361-372 (2016). MSC: 70H45 70F05 37J30 PDFBibTeX XMLCite \textit{W. Szumiński} and \textit{T. Stachowiak}, Springer Proc. Math. Stat. 182, 361--372 (2016; Zbl 1397.70029) Full Text: DOI arXiv
Morales-Ruiz, Juan J. Integrable systems and differential Galois theory. (English) Zbl 1418.37096 Bolsinov, Alexey et al., Geometry and dynamics of integrable systems. Lecture notes for the advanced course, Barcelona, Spain, September 2013. Edited by Eva Miranda and Vladimir Matveev. Basel: Birkhäuser/Springer. Adv. Courses in Math., CRM Barcelona, 1-33 (2016). MSC: 37J35 37J30 34M50 12H05 34M15 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz}, in: Geometry and dynamics of integrable systems. Lecture notes for the advanced course, Barcelona, Spain, September 2013. Edited by Eva Miranda and Vladimir Matveev. Basel: Birkhäuser/Springer. 1--33 (2016; Zbl 1418.37096) Full Text: DOI
Yoshino, Masafumi Summability of first integrals of a \(C^\omega\)-non-integrable resonant Hamiltonian system. (English) Zbl 1321.37056 Balser, Werner (ed.) et al., Formal and analytic solutions of differential and difference equations. Proceedings of the conference, Bȩdlewo, Poland, August 8–13, 2011. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-16-4/pbk). Banach Center Publications 97, 169-178 (2012). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37J30 37J35 34M30 PDFBibTeX XMLCite \textit{M. Yoshino}, Banach Cent. Publ. 97, 169--178 (2012; Zbl 1321.37056) Full Text: DOI
Ẓołądek, Henryk A simple proof of the non-integrability of the first and the second Painlevé equations. (English) Zbl 1242.34156 Crespo, Teresa (ed.) et al., Algebraic methods in dynamical systems. Proceedings of the conference, Będlewo, Poland, May 16–22, 2010. Dedicated to Michael Singer on his 60th birthday. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-13-3/pbk). Banach Center Publications 94, 295-302 (2011). Reviewer: Galina Filipuk (Warszawa) MSC: 34M55 37J30 PDFBibTeX XMLCite \textit{H. Ẓołądek}, Banach Cent. Publ. 94, 295--302 (2011; Zbl 1242.34156) Full Text: DOI
Maciejewski, Andrzej J.; Przybylska, Maria Overview of the differential Galois integrability conditions for non-homogeneous potentials. (English) Zbl 1251.37056 Crespo, Teresa (ed.) et al., Algebraic methods in dynamical systems. Proceedings of the conference, Będlewo, Poland, May 16–22, 2010. Dedicated to Michael Singer on his 60th birthday. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-13-3/pbk). Banach Center Publications 94, 221-232 (2011). Reviewer: Primitivo Belén Acosta-Humánez (Barranquilla) MSC: 37J30 12H05 70H05 PDFBibTeX XMLCite \textit{A. J. Maciejewski} and \textit{M. Przybylska}, Banach Cent. Publ. 94, 221--232 (2011; Zbl 1251.37056) Full Text: DOI
Gȩbarowski, Robert On the classical non-integrability of the Hamiltonian system for hydrogen atoms in crossed electric and magnetic fields. (English) Zbl 1234.37043 Crespo, Teresa (ed.) et al., Algebraic methods in dynamical systems. Proceedings of the conference, Będlewo, Poland, May 16–22, 2010. Dedicated to Michael Singer on his 60th birthday. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-13-3/pbk). Banach Center Publications 94, 197-204 (2011). MSC: 37J30 81V45 70H07 PDFBibTeX XMLCite \textit{R. Gȩbarowski}, Banach Cent. Publ. 94, 197--204 (2011; Zbl 1234.37043) Full Text: DOI
Aparicio Monforte, A.; Weil, J.-A. A reduction method for higher order variational equations of Hamiltonian systems. (English) Zbl 1243.37048 Blázquez-Sanz, David (ed.) et al., Symmetries and related topics in differential and difference equations. 3rd Jairo Charris seminar 2009 on symmetries of differential and difference equations, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia, July 31–August 2, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6872-0/pbk). Contemporary Mathematics 549, 1-15 (2011). Reviewer: István Gaál (Debrecen) MSC: 37J30 34A05 68W30 34M15 34M25 PDFBibTeX XMLCite \textit{A. Aparicio Monforte} and \textit{J. A. Weil}, Contemp. Math. 549, 1--15 (2011; Zbl 1243.37048) Full Text: arXiv
Morales-Ruiz, Juan J.; Ramis, Jean-Pierre Integrability of dynamical systems through differential Galois theory: a practical guide. (English) Zbl 1294.37024 Acosta-Humánez, Primitivo B. (ed.) et al., Differential algebra, complex analysis and orthogonal polynomials. Jairo Charris Seminar 2007–2008, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4886-9/pbk). Contemporary Mathematics 509, 143-220 (2010). MSC: 37J30 70H07 34A05 34C14 34M15 70H06 70H33 12H05 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz} and \textit{J.-P. Ramis}, Contemp. Math. 509, 143--220 (2010; Zbl 1294.37024)
Acosta-Humánez, Primitivo B.; Blázquez-Sanz, David Hamiltonian system and variational equations with polynomial coefficients. (English) Zbl 1203.37091 Ladde, G. S. (ed.) et al., Dynamic systems and applications. Vol. 5. Proceedings of the 5th international conference, Morehouse College, Atlanta, GA, USA, May 30–June 2, 2007. Atlanta, GA: Dynamic Publishers (ISBN 1-890888-01-6). 6-10 (2008). MSC: 37J35 37J30 PDFBibTeX XMLCite \textit{P. B. Acosta-Humánez} and \textit{D. Blázquez-Sanz}, in: Dynamic systems and applications. Vol. 5. Proceedings of the 5th international conference, Morehouse College, Atlanta, GA, USA, May 30--June 2, 2007. Atlanta, GA: Dynamic Publishers. 6--10 (2008; Zbl 1203.37091)
Audin, Michèle Two notions of integrability. (English) Zbl 1356.37076 Bertrand, Daniel (ed.) et al., Differential equations and quantum groups. Andrey A. Bolibrukh memorial volume. Zürich: European Mathematical Society Publishing House (ISBN 3-03719-020-5/pbk). IRMA Lectures in Mathematics and Theoretical Physics 9, 27-47 (2007). MSC: 37J35 37J30 37N05 70E17 70E40 70H06 PDFBibTeX XMLCite \textit{M. Audin}, IRMA Lect. Math. Theor. Phys. 9, 27--47 (2007; Zbl 1356.37076) Full Text: DOI
Maciejewski, Andrzej J.; Przybylska, Maria Integrability of homogeneous systems. Results and problems. (English) Zbl 1183.37102 Calmet, J. (ed.) et al., Global integrability of field theories. Proceedings of GIFT 2006, Cockcroft Institute, Daresbury, UK, November 1–3, 2006. Karlsruhe: Universitätsverlag Karlsruhe (ISBN 3-86644-035-9/pbk). 267-288 (2006). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J30 37J35 12H05 70H05 PDFBibTeX XMLCite \textit{A. J. Maciejewski} and \textit{M. Przybylska}, in: Global integrability of field theories. Proceedings of GIFT 2006, Cockcroft Institute, Daresbury, UK, November 1--3, 2006. Karlsruhe: Universitätsverlag Karlsruhe. 267--288 (2006; Zbl 1183.37102) Full Text: Link
Morales-Ruiz, Juan J. Non-integrability criteria by means of the Galois groups of variational equations: recent results and works in progress. (English) Zbl 1181.37083 Calmet, J. (ed.) et al., Global integrability of field theories. Proceedings of GIFT 2006, Cockcroft Institute, Daresbury, UK, November 1–3, 2006. Karlsruhe: Universitätsverlag Karlsruhe (ISBN 3-86644-035-9/pbk). 249-252 (2006). MSC: 37J30 34C20 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz}, in: Global integrability of field theories. Proceedings of GIFT 2006, Cockcroft Institute, Daresbury, UK, November 1--3, 2006. Karlsruhe: Universitätsverlag Karlsruhe. 249--252 (2006; Zbl 1181.37083) Full Text: Link
Matveev, Vladimir S. On projectively equivalent metrics near points of bifurcation. (English) Zbl 1329.53116 Bolsinov, A. V. et al., Topological methods in the theory of integrable systems. Cambridge: Cambridge Scientific Publishers (ISBN 978-1-904868-42-2/hbk). 215-240 (2006). MSC: 53D25 37J30 37J35 53C22 70H06 PDFBibTeX XMLCite \textit{V. S. Matveev}, in: Topological methods in the theory of integrable systems. Cambridge: Cambridge Scientific Publishers. 215--240 (2006; Zbl 1329.53116) Full Text: arXiv
Borisev, Alexey V.; Mamaev, Ivan S. Classification of Birkhoff-integrable generalized Toda lattices. (English) Zbl 1330.37055 Bolsinov, A. V. et al., Topological methods in the theory of integrable systems. Cambridge: Cambridge Scientific Publishers (ISBN 978-1-904868-42-2/hbk). 69-79 (2006). MSC: 37J35 37J30 70H06 PDFBibTeX XMLCite \textit{A. V. Borisev} and \textit{I. S. Mamaev}, in: Topological methods in the theory of integrable systems. Cambridge: Cambridge Scientific Publishers. 69--79 (2006; Zbl 1330.37055)
Bolsinov, Alexey V.; Oshemkov, Andrey A. Singularities of integrable Hamiltonian systems. (English) Zbl 1329.37053 Bolsinov, A. V. et al., Topological methods in the theory of integrable systems. Cambridge: Cambridge Scientific Publishers (ISBN 978-1-904868-42-2/hbk). 1-67 (2006). MSC: 37J35 37-02 37J30 70G40 70H06 PDFBibTeX XMLCite \textit{A. V. Bolsinov} and \textit{A. A. Oshemkov}, in: Topological methods in the theory of integrable systems. Cambridge: Cambridge Scientific Publishers. 1--67 (2006; Zbl 1329.37053)
Morales-Ruiz, Juan J. A remark about the Painlevé transcendents. (English) Zbl 1140.37016 Delabaere, Éric (ed.) et al., Théories asymptotiques et équations de Painlevé. Paris: Société Mathématique de France (ISBN 978-2-85629-229-7/pbk). Séminaires et Congrès 14, 229-235 (2006). Reviewer: Nikolay Vasilye Grigorenko (Kyïv) MSC: 37J30 70H07 34M55 12H05 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz}, Sémin. Congr. 14, 229--235 (2006; Zbl 1140.37016)
Qiao, Zhijun; Qiao, Zhijiang A note on nonlinear integrable Hamiltonian systems. (English) Zbl 1113.37045 Liu, Fengshan (ed.) et al., Advances in applied and computational mathematics. Selected papers based on the presentations at the applied mathematics summer workshop, Dover, DE, USA, August 18–20, 2005. New York, NY: Nova Science Publishers (ISBN 1-60021-358-8/hbk). 171-177 (2006). MSC: 37J30 37J35 PDFBibTeX XMLCite \textit{Z. Qiao} and \textit{Z. Qiao}, in: Advances in applied and computational mathematics. Selected papers based on the presentations at the applied mathematics summer workshop, Dover, DE, USA, August 18--20, 2005. New York, NY: Nova Science Publishers. 171--177 (2006; Zbl 1113.37045)
Dullin, Holger R.; Matveev, Vladimir S. A new natural Hamiltonian system on \(T^*S^2\) admitting an integral of degree 3 in momenta. (English) Zbl 1112.37313 Taş, Kenan (ed.) et al., Global analysis and applied mathematics. Proceedings of the international workshop on global analysis, Ankara, Turkey, April 15–17, 2004. Melville, NY: American Institute of Physics (ISBN 0-7354-0209-4/hbk). AIP Conference Proceedings 729, 141-146 (2004). MSC: 37J30 70H06 70E40 PDFBibTeX XMLCite \textit{H. R. Dullin} and \textit{V. S. Matveev}, AIP Conf. Proc. 729, 141--146 (2004; Zbl 1112.37313)
Bolsinov, Alexey V.; Jovanović, Božidar Žarko Integrable geodesic flows on Riemannian manifolds: construction and obstructions. (English) Zbl 1154.37356 Bokan, Neda (ed.) et al., Contemporary geometry and related topics. Proceedings of the workshop, Belgrade, Yugoslavia, May 15–21, 2002. River Edge, NJ: World Scientific (ISBN 981-238-432-4/hbk). 57-103 (2004). MSC: 37J35 53D25 70H06 37B40 37J30 PDFBibTeX XMLCite \textit{A. V. Bolsinov} and \textit{B. Ž. Jovanović}, in: Contemporary geometry and related topics. Proceedings of the workshop, Belgrade, Yugoslavia, May 15--21, 2002. River Edge, NJ: World Scientific. 57--103 (2004; Zbl 1154.37356) Full Text: arXiv
Taimanov, Iskander A. Tame integrals of motion and o-minimal structures. (English) Zbl 1062.37052 Buchstaber, V. M. (ed.) et al., Geometry, topology, and mathematical physics. Selected papers from S. P. Novikov’s seminar held in Moscow, Russia, 2002–2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3613-7/hbk). Translations. Series 2. American Mathematical Society. 212. Advances in the Mathematical Sciences 55, 317-324 (2004). MSC: 37J30 37D40 37J35 03C64 14P99 32B20 PDFBibTeX XMLCite \textit{I. A. Taimanov}, in: Geometry, topology, and mathematical physics. Selected papers from S. P. Novikov's seminar held in Moscow, Russia, 2002--2003. Providence, RI: American Mathematical Society (AMS). 317--324 (2004; Zbl 1062.37052) Full Text: arXiv
Fukuda, Takuo; Janeczko, Stanisław Singularities of implicit differential systems and their integrability. (English) Zbl 1061.37041 Hironaka, Heisuke (ed.) et al., Geometric singularity theory. Dedicated to the memory of Stanisław Łojasiewicz. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 65, 23-47 (2004). Reviewer: Maido Rahula (Tartu) MSC: 37J30 57R45 58C35 70H05 34A26 34C40 PDFBibTeX XMLCite \textit{T. Fukuda} and \textit{S. Janeczko}, Banach Cent. Publ. 65, 23--47 (2004; Zbl 1061.37041)
Giorgilli, Antonio Exponential stability of Hamiltonian systems. (English) Zbl 1081.37033 Dynamical systems. Part I. Hamiltonian systems and celestial mechanics. Selected papers from the Research Trimester held in Pisa, Italy, February 4–April 26, 2002. Pisa: Scuola Normale Superiore. Pubblicazioni del Centro di Ricerca Matematica Ennio de Giorgi. Proceedings, 87-198 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37J25 37-02 70H14 37J30 37J40 PDFBibTeX XMLCite \textit{A. Giorgilli}, in: Dynamical systems. Part I. Hamiltonian systems and celestial mechanics. Selected papers from the Research Trimester held in Pisa, Italy, February 4--April 26, 2002. Pisa: Scuola Normale Superiore. 87--198 (2003; Zbl 1081.37033)
Boucher, Delphine; Weil, Jacques-Arthur Application of J.-J. Morales and J.-P. Ramis’ theorem to test the non-complete integrability of the planar three-body problem. (English) Zbl 1039.37034 Fauvet, F. (ed.) et al., From combinatorics to dynamical systems. Journées de calcul formel en l’honneur de Jean Thomann, Marseille, France, March 22–23, 2002. Berlin: de Gruyter (ISBN 3-11-017875-3/pbk). IRMA Lect. Math. Theor. Phys. 3, 163-177 (2003). MSC: 37J30 37N05 70F07 70H07 PDFBibTeX XMLCite \textit{D. Boucher} and \textit{J.-A. Weil}, IRMA Lect. Math. Theor. Phys. 3, 163--177 (2003; Zbl 1039.37034)
Morales-Ruiz, Juan J. A note on a connection between the Poincaré-Arnold-Melnikov integral and the Picard-Vessiot theory. (English) Zbl 1035.37041 Crespo, Teresa (ed.) et al., Differential Galois theory. Proceedings of the workshop, Bȩdlewo, Poland, May 28–June 1, 2001. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 58, 165-175 (2002). Reviewer: Simos Ichtiaroglou (Thessaloniki) MSC: 37J30 34M35 12H05 34M15 70G65 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz}, Banach Cent. Publ. 58, 165--175 (2002; Zbl 1035.37041) Full Text: DOI
Maciejewski, Andrzej J. Non-integrability of certain Hamiltonian systems. Applications of the Morales-Ramis differential Galois extension of Ziglin theory. (English) Zbl 1033.37028 Crespo, Teresa (ed.) et al., Differential Galois theory. Proceedings of the workshop, Bȩdlewo, Poland, May 28–June 1, 2001. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 58, 139-150 (2002). Reviewer: Simos Ichtiaroglou (Thessaloniki) MSC: 37J30 70F20 PDFBibTeX XMLCite \textit{A. J. Maciejewski}, Banach Cent. Publ. 58, 139--150 (2002; Zbl 1033.37028) Full Text: DOI
Audin, Michèle Integrability and nonintegrability of Hamiltonian systems. (Intégrabilité et non-intégrabilité de systèmes hamiltoniens.) (French) Zbl 1050.37028 Bourbaki seminar. Volume 2000/2001. Exposés 880-893. Paris: Société Mathématique de France (ISBN 2-85629-130-9/pbk). Astérisque 282, 113-135, Exp. No. 884 (2002). Reviewer: Claudio Bartocci (Genova) MSC: 37J30 37J35 34M35 37-02 PDFBibTeX XMLCite \textit{M. Audin}, Astérisque 282, 113--135, Exp. No. 884 (2002; Zbl 1050.37028) Full Text: Numdam EuDML
Viallet, Claude Complexity and integrability. (English) Zbl 0984.37064 Levi, Decio (ed.) et al., SIDE III - Symmetries and integrability of difference equations. Proceedings of the 3rd conference, Sabaudia, Italy, May 16-22, 1998. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 25, 439-444 (2000). Reviewer: Francesco Calogero (Roma) MSC: 37J30 37B20 39A12 37A35 PDFBibTeX XMLCite \textit{C. Viallet}, in: SIDE III -- Symmetries and integrability of difference equations. Proceedings of the 3rd conference, Sabaudia, Italy, May 16--22, 1998. Providence, RI: American Mathematical Society (AMS). 439--444 (2000; Zbl 0984.37064)
Umeno, Ken Singularity analysis towards nonintegrability of nonhomogeneous nonlinear lattices. (English) Zbl 0958.37051 Simó, Carles (ed.), Hamiltonian systems with three or more degrees of freedom. Proceedings of the NATO Advanced Study Institute, S’Agaró, Spain, June 19-30, 1995. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 614-617 (1999). MSC: 37K10 37J30 37K60 PDFBibTeX XMLCite \textit{K. Umeno}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 614--617 (1999; Zbl 0958.37051) Full Text: arXiv
Morales-Ruiz, Juan J.; Ramis, Jean Pierre Galoisian obstructions to integrability of Hamiltonian systems: Statements and examples. (English) Zbl 0982.37061 Simó, Carles (ed.), Hamiltonian systems with three or more degrees of freedom. Proceedings of the NATO Advanced Study Institute, S’Agaró, Spain, June 19-30, 1995. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 509-513 (1999). Reviewer: Francesco Calogero (Roma) MSC: 37J30 34M35 12H20 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz} and \textit{J. P. Ramis}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 509--513 (1999; Zbl 0982.37061)
Koltsova, O. Yu.; Lerman, L. M. New criterion of nonintegrability for an \(n\)-degrees-of-freedom Hamiltonian system. (English) Zbl 0987.37051 Simó, Carles (ed.), Hamiltonian systems with three or more degrees of freedom. Proceedings of the NATO Advanced Study Institute, S’Agaró, Spain, June 19-30, 1995. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 458-470 (1999). Reviewer: Jörg Härterich (Berlin) MSC: 37J30 37J45 70H07 37C29 PDFBibTeX XMLCite \textit{O. Yu. Koltsova} and \textit{L. M. Lerman}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 458--470 (1999; Zbl 0987.37051)
Ichtiaroglou, Simos; Meletlidou, Efi The non-integrability of perturbed Hamiltonians of \(N\) degrees of freedom and the continuation of periodic orbits. (English) Zbl 0974.37044 Simó, Carles (ed.), Hamiltonian systems with three or more degrees of freedom. Proceedings of the NATO Advanced Study Institute, S’Agaró, Spain, June 19-30, 1995. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 413-417 (1999). Reviewer: Jörg Härterich (Berlin) MSC: 37J30 70H07 37J40 37-06 PDFBibTeX XMLCite \textit{S. Ichtiaroglou} and \textit{E. Meletlidou}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 413--417 (1999; Zbl 0974.37044)
Bountis, T.; Drossos, L. On the non-integrability of the mixmaster universe model. (English) Zbl 0958.37028 Simó, Carles (ed.), Hamiltonian systems with three or more degrees of freedom. Proceedings of the NATO Advanced Study Institute, S’Agaró, Spain, June 19-30, 1995. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 318-323 (1999). MSC: 37J30 37M99 70H07 PDFBibTeX XMLCite \textit{T. Bountis} and \textit{L. Drossos}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 318--323 (1999; Zbl 0958.37028)
Rabinowitz, Paul H. A note on heteroclinics for a Hamiltonian system of double pendulum type. (English) Zbl 1120.37313 Escher, Joachim (ed.) et al., Topics in nonlinear analysis. The Herbert Amann anniversary volume. Basel: Birkhäuser (ISBN 3-7643-6016-X/hbk). Prog. Nonlinear Differ. Equ. Appl. 35, 571-584 (1999). Reviewer: Gabriella Tarantello (MR1725585) MSC: 37J45 34C37 37J30 PDFBibTeX XMLCite \textit{P. H. Rabinowitz}, Prog. Nonlinear Differ. Equ. Appl. 35, 571--584 (1999; Zbl 1120.37313)
Baider, A.; Churchill, R. C.; Rod, D. L.; Singer, M. F. On the infinitesimal geometry of integrable systems. (English) Zbl 1005.37510 Shadwick, William F. (ed.) et al., Mechanics days. Proceedings of a workshop, June 12, 1992. Providence, RI: American Mathematical Society. Fields Inst. Commun. 7, 5-56 (1996). MSC: 37J30 12H05 34M99 70H07 PDFBibTeX XMLCite \textit{A. Baider} et al., Fields Inst. Commun. 7, 5--56 (1996; Zbl 1005.37510)
Chang, Kungching; Liu, Jiaquan A remark on the homoclinic orbits for Hamiltonian systems. (English) Zbl 0940.37023 Chang, Kung-Ching (ed.) et al., Nonlinear analysis and microlocal analysis. Proceedings of the international conference at Nankai Institute of Mathematics, Tianjin, China, August 18-23, 1991. Singapore: World Scientific. Nankai Ser. Pure Appl. Math. Theor. Phys. 2, 130-141 (1992). Reviewer: Serguei Zelik (Moskva) MSC: 37J45 37J30 PDFBibTeX XMLCite \textit{K. Chang} and \textit{J. Liu}, Nankai Ser. Pure Appl. Math. Theor. Phys. 2, 130--141 (1992; Zbl 0940.37023)