Non-Integrability of Some Few Body Problems in Two Degrees of Freedom-Reference-Cited by-同舟云学术

Non-Integrability of Some Few Body Problems in Two Degrees of Freedom

Published:2009-12 Issue:2 Volume:8 Page:209-239
ISSN:1575-5460
Container-title:Qualitative Theory of Dynamical Systems
language:en
Short-container-title:Qual. Theory Dyn. Syst.

Author:

Acosta-Humánez Primitivo B.,Álvarez-Ramírez Martha,Delgado Joaquín

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Link

http://link.springer.com/content/pdf/10.1007/s12346-010-0008-7.pdf

Reference31 articles.

1. Abraham, R., Marsden, J.E.: Foundations of Mechanics, 2nd edn. Benjamin/Cummings Publishing Co. Inc. Advanced Book Program, Reading, MA (1978). Revised and enlarged, With the assistance of Tudor Raţiu and Richard Cushman

2. Abramowitz, M., Stegun, I.A. (eds): Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. A Wiley-Interscience Publication, Wiley, New York (1984)

3. Acosta-Humanez, P.B.: Galoisian approach to supersymmetric quantum mechanics. Ph.D. thesis, Universitat Politècnica de Catalunya (2009)

4. Acosta-Humanez P.B.: Nonautonomous hamiltonian systems and Morales–Ramis theory I. The case ẍ = f(x,t). SIAM J. Appl. Dyn. Syst. 8(1), 279–297 (2009)

5. Acosta-Humanez P.B., Blázquez-Sanz D.: Non-integrability of some hamiltonians with rational potentials. Discret. Cont. Dyn. Syst. Ser. B 10(2–3), 265–293 (2008)

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Differential Galoisian approach to Jacobi integrability of general analytic dynamical systems and its application;Science China Mathematics;2023-03-03

2. Application of the Kovacic algorithm for the investigation of motion of a heavy rigid body with a fixed point in the Hess case;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2022-09-07

3. Some tastings in Morales-Ramis theory;Journal of Physics: Conference Series;2019-11-01

4. Complex Dynamics of Some Hamiltonian Systems: Nonintegrability of Equations of Motion;Advances in Mathematical Physics;2019-03-03

5. Non-integrability of geodesic flow on certain algebraic surfaces;Physics Letters A;2012-03