"Zapiski Nauchnyh Seminarov POMI"
VOL. 300
This issue is entitled " Representation Theory, Dynamical Systems.
Special Issue. Part 8 "
editors A. M. Vershik and N. V. Svanidze
Contents
 Preface .......9
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 Vladimir Fedorovich Lazutkin
.......11
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 List of publications by V. F. Lazutkin
.......13
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 Remembering V. F. Lazutkin .......23
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 Lazutkin V. F. Splitting of separatrices for the Chirikov standard map
.......25
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 Baryshnikov Y., Zharnitsky V. Billiards and nonholonomic distributions
.......56
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 Borzov V. V., Damaskinsky E. V. Generalized coherent states: a novel approach
.......65
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 Chernov V. L. A stable foliation to infinity
in the phase space of the H\'enon map.......72
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 Chubey M. S., Eroshkin G. I., Pashkevich V. V.
Space stereoscopic observatory project
.......80
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 Delshams A., Guti\'errez P.
Exponentially small splitting of separatrices for whiskered tori
in Hamiltonian systems.......87
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 Donnay V. J. Creating transverse homoclinic connections in planar
billiards
.......122
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 Dullin H. R., Ivanov A. V. Twistless tori near low order resonances
.......135
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 Galgani L., Giorgilli A. Recent results on the FermiPastaUlam problem
.......145
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 Gonchenko S. V., Shil'nikov L. P. On twodimensional areapreserving maps with
homoclinic tangencies that have infinitely many generic
elliptic periodic points
.......155
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 Gonchenko V. S., Ovsyannikov I. I. On bifurcations of threedimensional diffeomorphisms
with a homoclinic tangency to a ``neutral'' saddle fixed point
.......167
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 Itin A. P., Neishtadt A. I., Vasiliev A. A. Resonant phenomena in slowly irregular rectangular waveguides
.......173
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 Kazakov A. Ya. Special function related to the scattering of the
whispering gallery mode at the point of local straightening
.......180
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 Koltsova O. Yu. On Hamiltonian systems with homoclinic orbit to a
saddlecenter
.......187
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 Kozlov V. V., Treschev D. V. Weak convergence of measures in conservative systems
.......194
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 Kuperin Yu. A., Pyatkin D. A. Twodimensional chaos: the baker map under control
.......206
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 Oleinik V., Pavlov B. Embedded spectrum on a metric graph (an observation)
.......215
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 Popov I. Yu., Frolov S. V.
Violation of symmetry in the system of three
laterally coupled quantum waveguides:
and resonance asymptotics
.......221
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 Ramirez R., Sadovskaia N. Cartesian approach for nonholonomic systems
.......228
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 Shnirelman A. Inverse cascade solutions of the Euler equations
.......238
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 Slavyanov S. Yu. Integral equations of Fredholm type with rapidly
varying kernels and their relationship to dynamic systems
.......245
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 Svanidze N. V. Small islands of stability in the phase space of the
Carleson map
.......250
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 Volkov D. Yu. The AndronovHopf bifurcation with 2:1 resonance
.......259
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 Volkov E. V. Hyperbolic structure for the quadratic map
.......266
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 Zubelevich O. On exponentially small effects in dynamical systems with
a small parameter.......273
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 List of participants of the Workshop on Differential Equations
dedicated to the memory of Vladimir Lazutkin,
St. Petersburg, August 1820, 2002.......279
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 List of reports presented at the Workshop on Differential Equations
dedicated to the memory of Vladimir Lazutkin
the texts of which are not included in this volume
.......283
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 Reviews .......285
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Paging 294 pp.
 Language Russian
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Steklov Institute of Mathematics