Leonid Pavlovich Shilnikov. On his 75 th birthday V. S. AfraimovichL. M. LermanS. V. Gonchenko L.P. Shilnikov-75 27 April 2010 Pages: 101 - 106
Rigorous and accurate enclosure of invariant manifolds on surfaces A. WittigM. BerzS. Newhouse L.P. Shilnikov-75 27 April 2010 Pages: 107 - 126
Dynamical networks: Continuous time and general discrete time models V. S. AfraimovichL. A. BunimovichS. V. Moreno L.P. Shilnikov-75 27 April 2010 Pages: 127 - 145
Burst-duration mechanism of in-phase bursting in inhibitory networks I. BelykhS. JalilA. Shilnikov L. P. Shilnikov-75 27 April 2010 Pages: 146 - 158
Universal dynamics in a neighborhood of a generic elliptic periodic point V. GelfreichD. Turaev L. P. Shilnikov-75 27 April 2010 Pages: 159 - 164
Shilnikov’s Cross-map method and hyperbolic dynamics of three-dimensional Hénon-like maps S. GonchenkoM. -Ch. Li L. P. Shilnikov-75 27 April 2010 Pages: 165 - 184
Energy functions for dynamical systems V. GrinesO. Pochinka L.P. Shilnikov-75 27 April 2010 Pages: 185 - 193
Breaking hyperbolicity for smooth symplectic toral diffeomorphisms L. Lerman L.P. Shilnikov-75 27 April 2010 Pages: 194 - 209
Approximation of entropy on hyperbolic sets for one-dimensional maps and their multidimensional perturbations Ming-Chia LiM. I. Malkin L.P. Shilnikov-75 27 April 2010 Pages: 210 - 221
Transverse intersections between invariant manifolds of doubly hyperbolic invariant tori, via the Poincaré-Mel’nikov method A. DelshamsP. GutiérrezJ. R. Pacha L.P. Shilnikov-75 27 April 2010 Pages: 222 - 236
Snap-back repellers in non-smooth functions L. GardiniF. Tramontana L.P. Shilnikov-75 27 April 2010 Pages: 237 - 245
Noninvertible maps and their embedding into higher dimensional invertible maps C. Mira L.P. Shilnikov-75 27 April 2010 Pages: 246 - 260
Diagnostics of the degree of noise influence on a nonlinear system using relative metric entropy V. S. AnishchenkoS. V. AstakhovT. E. Vadivasova L.P. Shilnikov-75 27 April 2010 Pages: 261 - 273
Chaotic dynamics of two Van der Pol-Duffing oscillators with Huygens coupling V. N. BelykhE. V. Pankratova L.P. Shilnikov-75 27 April 2010 Pages: 274 - 284
On various averaging methods for a nonlinear oscillator with slow time-dependent potential and a nonconservative perturbation S. Yu. DobrokhotovD. S. Minenkov L.P. Shilnikov-75 27 April 2010 Pages: 285 - 299
Unique normal forms for area preserving maps near a fixed point with neutral multipliers V. GelfreichN. Gelfreikh L.P. Shilnikov-75 27 April 2010 Pages: 300 - 318
Dynamics of spikes in delay coupled semiconductor lasers E. GrigorievaS. Kaschenko L.P. Shilnikov-75 27 April 2010 Pages: 319 - 327
Thick attractors of step skew products Yu. Ilyashenko L.P. Shilnikov-75 27 April 2010 Pages: 328 - 334
Strange attractors. Topologic, geometric and algebraic aspects R. V. PlykinN. E. Klinshpont L.P. Shilnikov-75 27 April 2010 Pages: 335 - 347
Example of blue sky catastrophe accompanied by a birth of Smale-Williams attractor S. P. Kuznetsov L.P. Shilnikov-75 27 April 2010 Pages: 348 - 353
Lyapunov quantities and limit cycles of two-dimensional dynamical systems. Analytical methods and symbolic computation G. A. LeonovO. A. Kuznetsova L.P. Shilnikov-75 27 April 2010 Pages: 354 - 377
On the set of periodic intervals of an interval map M. Matviichuk L.P. Shilnikov-75 27 April 2010 Pages: 378 - 381
Asymptotic stability via the Krein-Rutman theorem for singularly perturbed parabolic periodic dirichlet problems N. N. NefedovL. ReckeK. R. Schneider L.P. Shilnikov-75 27 April 2010 Pages: 382 - 389
Poles of tritronquée solution to the Painlevé I equation and cubic anharmonic oscillator V. Yu. Novokshenov L.P. Shilnikov-75 27 April 2010 Pages: 390 - 403
Periodic shadowing and Ω-stability A. V. OsipovS. Yu. PilyuginS. B. Tikhomirov L.P. Shilnikov-75 27 April 2010 Pages: 404 - 417