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Table of contents

Volume 62

Number 2, April 2007

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COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY

379
On manifolds generated by a ring finite-dimensional over a centroid

View article, On manifolds generated by a ring finite-dimensional over a centroid PDF, On manifolds generated by a ring finite-dimensional over a centroid
https://doi.org/10.1070/RM2007v062n02ABEH004400
382
Andronov-Hopf bifurcation in simple double diffusion models

and

View article, Andronov-Hopf bifurcation in simple double diffusion models PDF, Andronov-Hopf bifurcation in simple double diffusion models
https://doi.org/10.1070/RM2007v062n02ABEH004402
385
On the Stokes potential for pressure

View article, On the Stokes potential for pressure PDF, On the Stokes potential for pressure
https://doi.org/10.1070/RM2007v062n02ABEH004403
388
Picard's theorem for ordinary differential equations in Fréchet spaces

View article, Picard's theorem for ordinary differential equations in Fréchet spaces PDF, Picard's theorem for ordinary differential equations in Fréchet spaces
https://doi.org/10.1070/RM2007v062n02ABEH004404
390
Classification of weakly commutative complex homogeneous spaces

View article, Classification of weakly commutative complex homogeneous spaces PDF, Classification of weakly commutative complex homogeneous spaces
https://doi.org/10.1070/RM2007v062n02ABEH004405
393
Sharpness of Risler's upper bound for the total curvature of an affine real algebraic hypersurface

View article, Sharpness of Risler's upper bound for the total curvature of an affine real algebraic hypersurface PDF, Sharpness of Risler's upper bound for the total curvature of an affine real algebraic hypersurface
https://doi.org/10.1070/RM2007v062n02ABEH004399
395
Isometric embeddings of the surfaces of the Platonic solids

View article, Isometric embeddings of the surfaces of the Platonic solids PDF, Isometric embeddings of the surfaces of the Platonic solids
https://doi.org/10.1070/RM2007v062n02ABEH004406
398
Andronov-Hopf bifurcation for quasi-linear parabolic functional differential equations with transformations of spatial variables

View article, Andronov-Hopf bifurcation for quasi-linear parabolic functional differential equations with transformations of spatial variables PDF, Andronov-Hopf bifurcation for quasi-linear parabolic functional differential equations with transformations of spatial variables
https://doi.org/10.1070/RM2007v062n02ABEH004401

MATHEMATICAL LIFE

401
Dmitrii Viktorovich Anosov (on his 70th birthday)

, , , and

View article, Dmitrii Viktorovich Anosov (on his 70th birthday) PDF, Dmitrii Viktorovich Anosov (on his 70th birthday)
https://doi.org/10.1070/RM2007v062n02ABEH004407
403
Yurii Nikolaevich Subbotin (on his 70th birthday)

, , , , , , , , and

View article, Yurii Nikolaevich Subbotin (on his 70th birthday) PDF, Yurii Nikolaevich Subbotin (on his 70th birthday)
https://doi.org/10.1070/RM2007v062n02ABEH004408
219
Separatrix maps in Hamiltonian systems

and

Open abstract View article, Separatrix maps in Hamiltonian systems PDF, Separatrix maps in Hamiltonian systems

The separatrix map is constructed for some classes of problems in Hamiltonian dynamics. The formulae obtained are used to study two-dimensional symplectic maps close to integrable maps: elliptic periodic trajectories passing through separatrix lobes are constructed, and some estimates for the width of the stochastic layer are given. For Hamiltonian systems with two and a half degrees of freedom it is proved that the Arnol'd diffusion in the a priori unstable case is generic, and in the Mather problem trajectories are constructed for which the mean energy growth is linear in time.

https://doi.org/10.1070/RM2007v062n02ABEH004396
323
Weakly infinite-dimensional spaces

Open abstract View article, Weakly infinite-dimensional spaces PDF, Weakly infinite-dimensional spaces

In this survey article two new classes of spaces are considered: --spaces and ---spaces, . They are intermediate between the class of weakly infinite-dimensional spaces in the Alexandroff sense and the class of -spaces. The classes of --spaces and ---spaces coincide with the class of weakly infinite-dimensional spaces, while the compact --spaces are exactly the -compact spaces of Haver. The main results of the theory of weakly infinite-dimensional spaces, including classification via transfinite Lebesgue dimensions and Luzin-Sierpińsky indices, extend to these new classes of spaces. Weak --spaces are characterised by means of essential maps to Henderson's -compacta. The existence of hereditarily -strongly infinite-dimensional spaces is proved.

https://doi.org/10.1070/RM2007v062n02ABEH004397
375
Viktor Iosifovich Yudovich (obituary)

, , , and

View article, Viktor Iosifovich Yudovich (obituary) PDF, Viktor Iosifovich Yudovich (obituary)
https://doi.org/10.1070/RM2007v062n02ABEH004398