WorldCat Identities

Bolsinov, A. V. (Alekseĭ Viktorovich)

Overview
Works: 16 works in 68 publications in 3 languages and 748 library holdings
Roles: Author, Opponent
Publication Timeline
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Most widely held works by A. V Bolsinov
Integrable Hamiltonian systems : geometry, topology, classification by A. V Bolsinov( Book )

22 editions published between 2002 and 2004 in English and Undetermined and held by 325 WorldCat member libraries worldwide

"Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems. This book explores the topology of integrable systems and the general theory underlying their qualitative properties, singularities, and topological invariants."--Jacket
Geometry and dynamics of integrable systems by A. V Bolsinov( )

17 editions published in 2016 in English and German and held by 251 WorldCat member libraries worldwide

Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matemática in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of integrable systems to the non-Hamiltonian settings. All three sections were written by top experts in their respective fields
Integrable geodesic flows on two-dimensional surfaces by A. V Bolsinov( Book )

8 editions published between 1999 and 2000 in English and Russian and held by 85 WorldCat member libraries worldwide

Topological methods in the theory of integrable systems( Book )

4 editions published in 2006 in English and held by 61 WorldCat member libraries worldwide

The third international conference of AMADE was held in Minsk, Belarus in September 2003 and covered key topics including integral transforms and special functions; differential equations and their applications; integral, difference, functional equations and fractional calculus; real and complex analysis. This volume comprises selected papers presented at this conference and provides a useful reference for graduates and researchers working in these areas of mathematics. The volume includes original papers devoted to the classification of singularities with symmetries, semi-classical integrability, construction of "exotic" integrable systems, applications of integrability to Riemannian geometry, and analysis of specific integrable systems in classical mechanics. All of the contributing authors are well-known specialists actively working in this area of mathematics
Vvedenie v topologii︠u︡ integriruemykh gamilʹtonovykh sistem by A. V Bolsinov( Book )

3 editions published in 1997 in Russian and held by 9 WorldCat member libraries worldwide

Vvedenie v topologiju integriruemych gamilʹtonovych sistem by A. V Bolsinov( Book )

2 editions published in 1997 in Russian and held by 3 WorldCat member libraries worldwide

Integrable geodesic flows on the suspension of toric automorphisms by A. V Bolsinov( Book )

2 editions published in 1999 in English and held by 3 WorldCat member libraries worldwide

Integriruemye gamilʹtonovy sistemy : geometrii︠a︡, topologii︠a︡, klassifikat︠s︡ii︠a︡ by A. V Bolsinov( Book )

1 edition published in 1999 in Russian and held by 2 WorldCat member libraries worldwide

Topologicheskie metody v teorii gamilʹtonovykh sistem : sbornik stateĭ( Book )

1 edition published in 1998 in Russian and held by 2 WorldCat member libraries worldwide

Riemannian metrics with integrable geodesic flows on surfaces : local and global geometry( )

1 edition published in 1998 in English and held by 1 WorldCat member library worldwide

Topologičeskie metody v teorii gamilʹtonovych sistem : sbornik statej( Book )

1 edition published in 1998 in Russian and held by 1 WorldCat member library worldwide

Normalisation C-infini des systèmes complètement intégrables by Kai Jiang( )

1 edition published in 2016 in English and held by 1 WorldCat member library worldwide

This thesis is devoted to the local geometric linearization of completely integrable systems in the C1 category. The subject is the geometric linearization conjecture proposed (and proved in the analytic case) by Nguyen Tien Zung. We start from linear systems and introduce normalization in the formal category. Wes how that an integrable system can be decomposed into a hyperbolic part and an elliptic part. We establish a good Poincaré-Dulac normal form for the vector fields and discuss its relation with geometric linearization. We prove that weakly hyperbolic integrable systems are geometrically linearizable byusing Chaperon's tools. We then study integrable systems on small dimensional spaces: if the dimension is no more than 4, then most cases are geometrically linearizable; in particular,geometric linearization works for integrable system of focus-focus type. Finally, we generalize the proof to high dimensions and propose a condition about strongly invariant manifolds, under which we linearize the systems in the geometric sense. We also manage to normalize an R x T-action of several focuses by referring to the ideas of Zung
Riemannian metrics with integrable geodesic flows on surfaces : local and global geometry by A. V Bolsinov( Book )

1 edition published in 1998 in English and held by 1 WorldCat member library worldwide

Integrable Hamiltonian systems geometry, topology, classification by A. V Bolsinov( )

2 editions published in 2004 in English and held by 1 WorldCat member library worldwide

Integrable geodesic flows on the suspensions of toric automorphisms by A. V Bolsinov( Book )

1 edition published in 1999 in English and held by 1 WorldCat member library worldwide

Integriruemye gamilʹtonovye sistemy : geometrija ; topologija ; klassifikacija by A. T Fomenko( Book )

1 edition published in 1997 in Undetermined and held by 0 WorldCat member libraries worldwide

 
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Integrable Hamiltonian systems : geometry, topology, classification Integrable Hamiltonian systems geometry, topology, classification
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Integrable geodesic flows on two-dimensional surfacesIntegrable Hamiltonian systems geometry, topology, classification
Alternative Names
Bolsinof, Alekseï Viktorovitch

Bolsinov, A. V.

Bolsinov, Alekseĭ Viktorovich

Bolsinov, Aleksej Viktorovic

Bolsinov, Aleksey V.

Bolsinov, Aleksey Viktorovich

Bolsinov, Alexey.

Болсинов А. В.

Болсинов, Алексей Викторович

Languages