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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1997, Volume 216

| General information | Contents |


Dynamical systems and related topics


Collection of articles. To the 60th anniversary of academician Dmitrii Viktorovich Anosov

Dmitrii Viktorovich Anosov (photo)
On the 60th birthday of D. V. Anosov
E. F. Mishchenko
7
Remarks on the Morse theory of a divergence-free vector field, the averaging method, and the motion of a charged particle in a magnetic field
V. I. Arnol'd
9
Homoclinic and heteroclinic trajectories of a family of multidimensional dynamical systems
V. N. Belykh
20
On the existence of Fuchsian systems with given asymptotics
A. A. Bolibrukh
32
On the dimension of the space of integrable Hamiltonian systems with two degrees of freedom
A. V. Bolsinov, A. T. Fomenko
45
Expansion in powers of a noncommutative binomial
O. V. Viskov
70
On Newhouse domains of two-dimensional diffeomorphisms that are close to a diffeomorphism with a structurally unstable heteroclinic contour
S. V. Gonchenko, D. V. Turaev, L. P. Shilnikov
76
Relay with delay and its $C^1$-approximation
A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov
126
On the asymmetry of cascades
V. V. Ryzhikov
154
On the dynamic properties of geodesic flows of Liouville metrics on a two-dimensional torus
E. N. Selivanova, A. M. Stepin
158
Hyperbolicity of minimizing trajectories for two-dimensional Hamiltonian systems with random forcing
Ya. G. Sinai, K. M. Khanin
176
Distributional Li its for hyperbolic infinite volume geodesic flows
J. Aaronson, M. Denker
181
Sharp determinants and kneading operators for holomorphic maps
V. Baladi, A. Kitaev, D. Ruelle, S. Semmes
193
Entropy and over-rotation numbers for interval maps
A. Blokh, M. Misiurewicz
236
Topological invariants of linear cocycles of an ergodic map
N. D. Cong, V. I. Oseledets
243
Actions on spaces of measures on Lie groups and convergence of types
S. G. Dani
257
Markov partitions and homoclinic points of algebraic $\mathbb Z^d$-actions
M. Einsiedler, K. Schmidt
265
On Markov partitions for nonhyperbolic maps
M. Jakobson
285
Differential rigidity of Anosov actions of higher rank abelian groups and algebraic lattice actions
A. Katok, R. J. Spatzier
292
Mixing for finite systems of coupled tent maps
G. Keller
320
Invariant measures for the stable foliation on abelian covers
F. Ledrappier
327
The genus of a nontrivial minimal set
N. G. Markley
340
Stability of mixing for toral extensions of hyperbolic systems
W. Parry, M. Pollicott
354
Chaos in systems beyond hyperbolicity
F. Takens
364
An example of discontinuity in the computation of the lyapunov exponents
J.-P. Thouvenot
370
Convexly hyperbolic flows on unit tangent bundles of surfaces
M. P. Wojtkowski
373


© Steklov Math. Inst. of RAS, 2025