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Предисловие редактора
А. М. Вершик
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9 |
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Vladimir Fedorovich Lazutkin
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11 |
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List of publications by V. F. Lazutkin
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13 |
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Remembering V. F. Lazutkin
V. M. Babich, S. Yu. Slavyanov
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23 |
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Splitting of separatrices for the Chirikov standard map
V. F. Lazutkin
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25 |
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Billiards and nonholonomic distributions
Y. Baryshnikov, V. Zharnitsky
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56 |
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Generalized coherent states: a novel approach
V. V. Borzov, E. V. Damaskinsky
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65 |
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A stable foliation to infinity in the phase space of the Hénon map
V. L. Chernov
|
72 |
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|
Space stereoscopic observatory project
M. S. Chubey, G. I. Eroshkin, V. V. Pashkevich
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80 |
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Exponentially small splitting of separatrices for whiskered tori in Hamiltonian systems
A. Delshams, P. Gutiérrez
|
87 |
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Creating transverse homoclinic connections in planar billiards
V. J. Donnay
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122 |
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Twistless tori near low order resonances
H. R. Dullin, A. V. Ivanov
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135 |
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Recent results on the Fermi–Pasta–Ulam problem
L. Galgani, A. Giorgilli
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145 |
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On two-dimensional area-preserving maps with homoclinic tangencies that have infinitely many generic elliptic periodic points
S. V. Gonchenko, L. P. Shil'nikov
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155 |
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On bifurcations of three-dimensional diffeomorphisms with a homoclinic tangency to a “neutral” saddle fixed point
V. S. Gonchenko, I. I. Ovsyannikov
|
167 |
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Resonant phenomena in slowly irregular rectangular waveguides
A. P. Itin, A. I. Neishtadt, A. A. Vasil'ev
|
173 |
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Special function related to the scattering of the whispering gallery mode at the point of local straightening
A. Ya. Kazakov
|
180 |
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|
On Hamiltonian systems with homoclinic orbit to a saddle-center
O. Yu. Koltsova
|
187 |
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Weak convergence of measures in conservative systems
V. V. Kozlov, D. V. Treschev
|
194 |
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|
Two-dimensional chaos: the baker map under control
Yu. A. Kuperin, D. A. Pyatkin
|
206 |
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|
Embedded spectrum on a metric graph (an observation)
V. L. Oleinik, B. S. Pavlov
|
215 |
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Violation of symmetry in the system of three laterally coupled quantum waveguides and resonance asymptotics
I. Yu. Popov, S. V. Frolov
|
221 |
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Cartesian approach for nonholonomic systems
R. Ramirez, N. Sadovskaia
|
228 |
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Inverse cascade solutions of the Euler equations
A. I. Shnirel'man
|
238 |
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Integral equations of Fredholm type with rapidly varying kernels and their relationship to dynamic systems
S. Yu. Slavyanov
|
245 |
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Small islands of stability in the phase space of the Carleson map
N. V. Svanidze
|
250 |
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|
The Andronov–Hopf bifurcation with $2:1$ resonance
D. Yu. Volkov
|
259 |
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Hyperbolic structure for the quadratic map
E. V. Volkov
|
266 |
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On exponentially small effects in dynamical systems with a small parameter
O. È. Zubelevich
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273 |
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List of participants of the Workshop on Differential Equations dedicated to the memory of Vladimir Lazutkin, Saint-Petersburg, August 18–20, 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
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283 |
