Non-existence criteria for Laurent polynomial first integrals.
Shi, Shaoyun, Han, Yuecai (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Displaying similar documents to “Multidimensional two-particles problem with non-central potential”
Non-existence criteria for Laurent polynomial first integrals.
A note on definite integrals involving the derivatives of hypergeometric polynomials
Jyoti Chaudhuri (1962)
Rendiconti del Seminario Matematico della Università di Padova
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Perturbations of Systems Describing the Motion of a Particle in Central Fields
Christov, Ognyan, Dragnev, Dragomir (1995)
Serdica Mathematical Journal
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The present paper deals with the KAM-theory conditions for systems describing the motion of a particle in central field.
Completely integrable class of mechanical systems connected with Korteweg-de Vries and multicomponent Schrödinger equations - I
D. V. Choodnovsky, G. V. Choodnovsky (1977-1978)
Séminaire sur les équations non linéaires (Choodnovsky)
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Classical integrable mechanical systems and their integrable perturbations.
Dragović, Vladimir (1998)
Publications de l'Institut Mathématique. Nouvelle Série
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Rigorous results on the power expansions for the integrals of a hamiltonian system near an elliptic equilibrium point
Antonio Giorgilli (1988)
Annales de l'I.H.P. Physique théorique
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A note concerning the integrals involving the derivatives of Legendre polynomials
Blagoj Sazdov Popov (1959)
Rendiconti del Seminario Matematico della Università di Padova
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A new hierarchy of integrable system of dimensions: from Newton's law to generalized Hamiltonian system. II.
Huang, Xuncheng, Tu, Guizhang (2006)
International Journal of Mathematics and Mathematical Sciences
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Pole interpretation of one-dimensional completely integrable systems of Korteweg-de Vries and Burgers-Hopf type
D. V. Choodnovsky (1977-1978)
Séminaire sur les équations non linéaires (Choodnovsky)
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On the KAM - Theory Conditions for the Kirchhoff Top
Christov, Ognyan (1997)
Serdica Mathematical Journal
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* Partially supported by Grant MM523/95 with Ministry of Science and Technologies. In this paper the classical Kirchhoff case of motion of a rigid body in an infinite ideal fluid is considered. Then for the corresponding Hamiltonian system on the zero integral level, the KAM theory conditions are checked. In contrast to the known similar results, there exists a curve in the bifurcation diagram along which the Kolmogorov’s condition vanishes for certain values of the parameters. ...