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Found 36 Documents (Results 1–36)

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).
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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
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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).
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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).
MSC:  37J30 37J35 34M30
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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).
MSC:  34M55 37J30
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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).
MSC:  37J30 12H05 70H05
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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
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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).
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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).
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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
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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).
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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
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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).
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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
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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).
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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
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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
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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).
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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).
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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).
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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).
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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).
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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).
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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).
MSC:  37J30 70F20
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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).
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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).
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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
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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).
MSC:  37J30 34M35 12H20
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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).
MSC:  37J30 37J45 70H07 37C29
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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).
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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
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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).
MSC:  37J45 34C37 37J30
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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).
MSC:  37J45 37J30
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