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2010, том 15, выпуск 2-3  


On the 75th birthday of Professor L.P. Shilnikov
Leonid Pavlovich Shilnikov. On His 75th Birthday
101
Rigorous and accurate enclosure of invariant manifolds on surfaces
A. Wittig, M. Berz, J. Grote, K. Makino, S. Newhouse
107
Dynamical networks: continuous time and general discrete time models
V. S. Afraimovich, L. A. Bunimovich, S. V. Moreno
127
Burst-duration mechanism of in-phase bursting in inhibitory networks
I. Belykh, S. Jalil, A. Shilnikov
146
Universal dynamics in a neighborhood of a generic elliptic periodic point
V. Gelfreich, D. Turaev
159
Shilnikov’s cross-map method and hyperbolic dynamics of three-dimensional Hénon-like maps
S. Gonchenko, M.-Ch. Li
165
Energy functions for dynamical systems
V. Grines, O. Pochinka
185
Breaking hyperbolicity for smooth symplectic toral diffeomorphisms
L. Lerman
194
Approximation of entropy on hyperbolic sets for one-dimensional maps and their multidimensional perturbations
Ming-Chia Li, M. I. Malkin
210
Transverse intersections between invariant manifolds of doubly hyperbolic invariant tori, via the Poincaré–Mel’nikov method
A. Delshams, P. Gutiérrez, O. Koltsova, J. R. Pacha
222
Snap-back repellers in non-smooth functions
L. Gardini, F. Tramontana
237
Noninvertible maps and their embedding into higher dimensional invertible maps
C. Mira
246
Diagnostics of the degree of noise influence on a nonlinear system using relative metric entropy
V. S. Anishchenko, S. V. Astakhov, T. E. Vadivasova
261
Chaotic dynamics of two Van der Pol–Duffing oscillators with Huygens coupling
V. N. Belykh, E. V. Pankratova
274
On various averaging methods for a nonlinear oscillator with slow time-dependent potential and a nonconservative perturbation
S. Yu. Dobrokhotov, D. S. Minenkov
285
Unique normal forms for area preserving maps near a fixed point with neutral multipliers
V. Gelfreich, N. Gelfreikh
300
Dynamics of spikes in delay coupled semiconductor lasers
E. Grigorieva, S. Kaschenko
319
Thick attractors of step skew products
Yu. Ilyashenko
328
Strange attractors. Topologic, geometric and algebraic aspects
R. V. Plykin, N. E. Klinshpont
335
Example of blue sky catastrophe accompanied by a birth of Smale–Williams attractor
S. P. Kuznetsov
348
Lyapunov quantities and limit cycles of two-dimensional dynamical systems. Analytical methods and symbolic computation
G. A. Leonov, O. A. Kuznetsova
354
On the set of periodic intervals of an interval map
M. Matviichuk
378
Asymptotic stability via the Krein–Rutman theorem for singularly perturbed parabolic periodic Dirichlet problems
N. N. Nefedov, L. Recke, K. R. Schneider
382
Poles of tritronquée solution to the Painlevé I equation and cubic anharmonic oscillator
V. Yu. Novokshenov
390
Periodic shadowing and $\Omega$-stability
A. V. Osipov, S. Yu. Pilyugin, S. B. Tikhomirov
404
 
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