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