Proceedings of the IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Moscow August 25-30, 2006)
Dordrecht Springer, 2006, 512 pp.
Abstract
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This work brings together previously unpublished notes contributed by participants of the IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence held in Moscow, August 25-30, 2006. The study of vortex motion is of great interest to fluid and gas dynamics; since all real flows are vortical in nature, applications of the vortex theory are extremely diverse, many of them (e.g. aircraft dynamics, atmospheric and ocean phenomena) being especially important. The last few decades have shown that serious possibilities for progress in the research of real turbulent vortex motions are essentially related to the combined use of mathematical methods, computer simulation and laboratory experiments. These approaches have led to a series of interesting results which allow us to study these processes from new perspectives. Based on this principle, the papers collected in this proceedings volume present new results on theoretical and applied aspects and processes of formation and evolution of various flows, wave and coherent structures in gas and fluid. Much attention is given to the studies of nonlinear regular and chaotic regimes of vortex interactions, advective and convective motions. The contributors are leading scientists engaged in fundamental and applied aspects of the above mentioned fields.

Citation:

Borisov A. V., Kozlov V. V., Mamaev I. S., Proceedings of the IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Moscow August 25-30, 2006), Dordrecht Springer, 2006, 512 pp.

Methods of qualitative analysis in the dynamics of a rigid body, Second edition
Izhevsk: Regular and Chaotic Dynamics, 2000, 248 pp.
Abstract
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Citation:

Kozlov V. V., Methods of qualitative analysis in the dynamics of a rigid body, Second edition, Izhevsk: Regular and Chaotic Dynamics, 2000, 248 pp.

Hamiltonian systems with three degrees of freedom and hydrodynamics
Hamiltonian systems with three or more degrees of freedom (S'Agaró, 1995), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 1999, vol. 533, pp. 127–133
Abstract

According to Stephan Banach, the possibilities of a mathematician are determined by his abilities to operate with analogies of different levels. The first level is the ability to see and to use the analogies between different problems. The next level is constituted by the analogies between theories. And finally only can be considered as high class mathematicians those who are able to use analogies between analogies.

Citation:

Kozlov V. V., Hamiltonian systems with three degrees of freedom and hydrodynamics, Hamiltonian systems with three or more degrees of freedom (S'Agaró, 1995), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 1999, vol. 533, pp. 127–133

Symmetries, topology and resonances in Hamiltonian mechanics
Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], 31. Springer-Verlag, Berlin, 1996, xii+378 pp.
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Citation:

Kozlov V. V., Symmetries, topology and resonances in Hamiltonian mechanics, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], 31. Springer-Verlag, Berlin, 1996, xii+378 pp.

Symmetries, topology and resonances in Hamiltonian mechanics
Izhevsk: Publishing House of Udmurt State University, 1995, 429 pp.
Abstract
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Citation:

Kozlov V. V., Symmetries, topology and resonances in Hamiltonian mechanics, Izhevsk: Publishing House of Udmurt State University, 1995, 429 pp.