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2014, Volume 19, Issue 6  


On Rational Integrals of Geodesic Flows
Valery V. Kozlov
601
The Dynamics of a Body with an Axisymmetric Base Sliding on a Rough Plane
Alexey V. Borisov, Nadezhda N. Erdakova, Tatiana B. Ivanova, Ivan S. Mamaev
607
Separatrix Splitting at a Hamiltonian $0^2 i\omega$ Bifurcation
Vassili Gelfreich, Lev Lerman
635
Four-Dimensional Generalization of the Grioli Precession
Vladimir Dragović, Borislav Gajić
656
Continuation of the Exponentially Small Transversality for the Splitting of Separatrices to a Whiskered Torus with Silver Ratio
Amadeu Delshams, Marina Gonchenko, Pere Gutiérrez
663
Hyperbolic Sets near Homoclinic Loops to a Saddle for Systems with a First Integral
Dmitry Turaev
681
The Dynamics of Three Vortex Sources
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
694
On Bifurcations of Area-preserving and Nonorientable Maps with Quadratic Homoclinic Tangencies
Amadeu Delshams, Marina Gonchenko, Sergey V. Gonchenko
702
The Reversal and Chaotic Attractor in the Nonholonomic Model of Chaplygin’s Top
Alexey V. Borisov, Alexey O. Kazakov, Igor R. Sataev
718
Translation of the V. I. Arnold Paper "From Superpositions to KAM Theory" (Vladimir Igorevich Arnold. Selected–60, Moscow: PHASIS, 1997, pp. 727–740)
Mikhail B. Sevryuk
734
Invariant Manifolds at Infinity of the RTBP and the Boundaries of Bounded Motion
Regina Martínez, Carles Simó
745
 
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