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Vladimir N. Shinkin
Journal Article
Extended Fundamental Model of Resonance
Sławomir Breiter
Celestial Mechanics and Dynamical Astronomy, 2003, Volume 85, Number 3, Pages 209-218
Approximate Analytic Solutions of the Averaged Three-Body Problem at First-Order Resonance with Large Oblateness of the Central Planet
Celestial Mechanics and Dynamical Astronomy, 2001, Volume 79, Number 1, Pages 15-27
The integrable cases of the three-body problem at second-order resonance under the high oblateness of the central body
Celestial Mechanics and Dynamical Astronomy, 1995, Volume 63, Numbers 3-4, Pages 341-355
The Integrable cases of the general and restricted elliptic spatial three-body problems at both third-order orbital and secondary resonances under the oblateness of the central body
Celestial Mechanics and Dynamical Astronomy, 1997, Volume 68, Number 2, Pages 105-120
The integrable cases of the planetary three-body problem at first-order resonance
V. N. Shinkin
Celestial Mechanics and Dynamical Astronomy, 1993, Volume 55, Number 3, Pages 249-259
Book Chapter
ON REDUCTIONS OF SOME KdV-TYPE SYSTEMS AND THEIR LINK TO THE QUARTIC HÉNON-HEILES HAMILTONIAN
C. Verhoeven, M. Musette and R. Conte
NATO Science Series, 1, Volume 201, Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete, Pages 363-374
On the Motion of Two Mass Vortices in Perfect Fluid
Sergey M. Ramodanov
IUTAM Bookseries, 1, Volume 6, IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence, Pages 459-468
Investigations into a class of generalized two-dimensional Lotka-Volterra schemes
András Dancsó, Henrik Farkas, Miklós Farkas and György Szabó
Acta Applicandae Mathematicae, 1991, Volume 23, Number 2, Pages 103-127
A criterion for non-integrability of Hamiltonian systems with nonhomogeneous potentials
Hidekazu Ito
Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 1987, Volume 38, Number 3, Pages 459-476
Integrable cases of a rigid body dynamics and integrable systems on the ellipsoids
O. I. Bogoyavlensky
Communications in Mathematical Physics, 1986, Volume 103, Number 2, Pages 305-322
Key words Three-body problem - Hori's method - resonance
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