Geodesic flows on closed Riemannian manifolds of negative curvature
This book is cited in the following Math-Net.Ru publications:
A Geometric Model for Pseudohyperbolic Shilnikov Attractors , 30 :2174–187 Scientific Heritage of L.P. Shilnikov. Part II. Homoclinic Chaos , 30 :2155–173 On a Method for Verifying Hyperbolicity , 30 :145–56 Butterfly velocity and chaos suppression in de Sitter space , 223 :2385–395 On expanding attractors of arbitrary codimension , 70 :3389–402 Symmetric hyperbolic trap , 116 :3372–387 $C^1$ -Smooth $\Omega$ -Stable Skew Products and Completely Geometrically Integrable Self-Maps of 3D-Tori, I: $\Omega$ -Stability, 29 :3491–514 Sensitivity and Chaoticity of Some Classes of Semigroup Actions , 29 :1174–189 On the Regularity of Invariant Foliations , 29 :16–24 Динамические системы на бесконечномерном торе: основы гиперболической теории , 84 :155–116 On a Classification of Chaotic Laminations which are Nontrivial Basic Sets of Axiom A Flows , 19 :2227–237 Smale Regular and Chaotic A-Homeomorphisms and A-Diffeomorphisms , 28 :2131–147 Nonautonomous dynamics: classification, invariants, and implementation , 68 :4596–620 On fixed points of continuous mappings associated with construction of artificial neural networks , 507 22–25 On the Topological Structure of Manifolds Supporting Axiom A Systems , 27 :6613–628 On perturbations of algebraic periodic automorphisms of a two-dimensional torus , 24 :2141–150 From the history of the concept of structural stability , 22 :2417–436 On some modifications of Arnold's cat map , 500 26–30 Complete Lorentzian foliations of codimension 2 on closed manifolds , 203 17–38 Dissipative systems: Relative roughness, nonroughness of various degrees, and integrability , 174 70–82 On Some Sufficient Hyperbolicity Conditions , 308 116–134 On Some Sufficient Hyperbolicity Conditions , 308 116–134 On the non-equilibrium states of the crystal lattice 15–26 A New Proof of the Existence of Embedded Surfaces with Anosov Geodesic Flow , 23 :6685–694 Chaos and hyperchaos of geodesic flows on curved manifolds corresponding to mechanically coupled rotators: Examples and numerical study , 28 :4565–581 On hyperbolic attractors and repellers of endomorphisms , 13 :4557–571 A note on the shrinking sector problem for surfaces of variable negative curvature , 297 281–291 On some simple examples of mechanical systems with hyperbolic chaos , 297 232–259 On the structure of the ambient manifold for Morse–Smale systems without heteroclinic intersections , 297 201–210 On three types of dynamics and the notion of attractor , 297 133–157 Emergence and non-typicality of the finiteness of the attractors in many topologies , 297 7–37 Morse–Smale systems and topological structure of supporting manifolds , 61 5–40 From Anosov’s dynamics on a surface of negative curvature to electronic generator of robust chaos , 16 :3131–144 Hyperbolic chaos in self-oscillating systems based on mechanical triple linkage: Testing absence of tangencies of stable and unstable manifolds for phase trajectories , 12 :1121–143 On the Extendability of Noether’s Integrals for Orbifolds of Constant Negative Curvature , 21 :7-8821–831 On structure of one dimensional basic sets of endomorphisms of surfaces , 18 :216–24 Rough diffeomorphisms with basic sets of codimension one , 57 5–30 Chaos in the system of three coupled rotators: from Anosov dynamics to hyperbolic attractor , 15 :25–17 Hyperbolic Chaos in Self-oscillating Systems Based on Mechanical Triple Linkage: Testing Absence of Tangencies of Stable and Unstable Manifolds for Phase Trajectories , 20 :6649–666 The structure of the sets of nonuniformness of weak exponential dichotomous linear differential systems , 23 :112–26 Boundary-preserving mappings of a manifold with intermingling basins of components of the attractor, one of which is open , 75 :115–24 Richness of Chaotic Dynamics in Nonholonomic Models of a Celtic Stone , 18 :5521–538 Compact leaves of structurally stable foliations , 278 102–113 Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems , 16 :43–229 Invariant measures for singular hyperbolic attractors , 201 :3107–160 Slow Relaxations and Bifurcations of the Limiting Sets of Dynamical Systems. III. Slow Relaxations of a Separate Semi-Flow , 12 :435–43 Some properties of singular hyperbolic attractors , 200 :137–80 On a new approach to asymptotic stabilization problems , 49 :122167–2181 Dynamical systems with variable dissipation: Approaches, methods, and applications , 14 :33–237 The weakly dissipative version of the Kolmogorov–Arnold–Moser theory and practical calculations , 48 :3473–490 $C^0$ Transversality and Shadowing Properties, 256 305–319 A Method of Graph Transformation Type for Numerical Simulation of Invariant Manifolds , 256 237–251 The Curvature and Hyperbolicity of Hamiltonian Systems , 256 31–53 О теории параметрического регулирования развития рыночной экономики , 17 5–28 Bounded solutions of families of systems of differential equations and their approximation , 12 :529–47 The regularity of central leaves of partially hyperbolic sets
and its applications , 70 :619–44 On the topological classification of Lorenz-type attractors , 197 :475–122 Classical and quantum integrability of Hamiltonians without scattering states , 148 :2249–268 A method for the asymptotic stabilization to a given trajectory based on the initial data , 46 :137–51 Non-existence of stable trajectories in non-autonomous perturbations of systems of Lorenz type , 196 :499–134 Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings , 249 3–239 Statistical properties of dynamical chaos , 175 :2163–179 On algebraic Anosov diffeomorphisms on nilmanifolds , 45 :5995–1021 On an iterative method for the construction the Hadamard mustaches , 44 :81346–1355 Parameter exclusions in Hénon-like systems , 58 :6(354)3–44 Structurally stable diffeomorphisms with basis sets of codimension one , 66 :23–66 On non-orientable two-dimensional basic sets on 3-manifolds , 193 :683–104 Asymptotic Behavior of Covering Curves on the Universal Coverings of Surfaces , 238 5–54 Arithmetic coding and entropy for the positive geodesic flow on the modular surface , 1 :4569–582 An example of a wild strange attractor , 189 :2137–160 Factorization of Diffeomorphisms over Phase Portraits of Vector Fields on the Plane , 31 :267–70 Polymorphisms, Joinings, and the Tensor Simplicity of Dynamical Systems , 31 :245–57 New progress in the theory of homogeneous flows , 52 :4(316)87–192 On the topological classification of structurally stable diffeomorphisms of surfaces with one-dimensional attractors and repellers , 188 :457–94 Intertwinings of tensor products, and the stochastic centralizer of dynamical systems , 188 :267–94 The definition of relative robustness and a two-parameter family of phase portraits in the dynamics of a rigid body , 51 :1(307)175–176 Poincaré models, rigorous justification of the second element of thermodynamics on the basis of mechanics, and the Fermi acceleration mechanism , 50 :1(301)143–186 A direct method of constructing an invariant measure on a hyperbolic attractor , 56 :5934–957 Closed extremals on two-dimensional manifolds , 47 :2(284)143–185 Invariant measures for hyperbolic maps with singularities , 47 :1(283)147–202 Topological topics in dynamical systems theory , 46 :4(280)93–114 Statistical properties of two-dimensional hyperbolic billiards , 46 :4(280)43–92 The topological classification of cascades on closed two-dimensional manifolds , 45 :1(271)3–32 Small perturbations of chaotic dynamical systems , 44 :6(270)3–28 On the behavior in the Euclidean or Lobachevsky plane of trajectories that cover trajectories of flows on closed surfaces. II , 52 :3451–478 An averaging principle for parabolic equations ("fast variable – $\mathcal J$ -flow") , 43 :4(262)217–218 Ergodic properties of certain systems of two-dimensional discs and three-dimensional balls , 42 :3(255)153–174 Topological classification of flows on closed two-dimensional manifolds , 41 :1(247)149–169 On the geometry of hyperbolic attractors of smooth cascades , 39 :6(240)75–113 On two methods of studying the invertibility of operators in $C^*$ -algebras induced by dynamical systems , 124(166) :1(5)3–23 Integrability and non-integrability in Hamiltonian mechanics , 38 :1(229)3–67 Geodesic flows with hyperbolic behaviour of the trajectories and objects connected with them , 36 :4(220)3–51 Geodesic flows on closed Riemannian manifolds without focal points , 41 :61252–1288 Characteristic Lyapunov exponents and smooth ergodic theory , 32 :4(196)55–112 Families of invariant manifolds corresponding to nonzero characteristic exponents , 40 :61332–1379 Nonautonomous suspensions over diffeomorphisms, and the geometry of nearness , 31 :5(191)231–232 Topological transitivity of one class of dynamic systems and flows of frames on manifolds of negative curvature , 9 :19–19 Applications of ergodic theory to probability theory , 30 :3(183)125–146 On small random perturbations of some smooth dynamical systems , 38 :51091–1115 On a class of special flows , 38 :1213–227 Partially hyperbolic dynamical systems , 38 :1170–212 Ergodic properties of eigenfunctions , 29 :6(180)181–182 Sources and sinks of $A$ -diffeomorphisms of surfaces , 94(136) :2(6)243–264 On billiards close to dispersing , 94(136) :1(5)49–73 Ergodic perturbations of degenerate integrable Hamiltonian systems , 37 :3539–576 On invariant measures of dynamical systems of one-dimensional statistical mechanics , 28 :5(173)45–82 Flows of frames on manifolds of negative curvature , 28 :4(172)209–210 Homogeneous spaces of infinite-dimensional Lie algebras and characharacteristic classes of foliations , 28 :4(172)103–138 Inclusion of Bernoulli shifts in certain special flows , 28 :3(171)171–172 Partially hyperbolic dynamical systems , 28 :3(171)169–170 Characteristic classes of foliations , 28 :2(170)3–17 On the existence of invariant fiberings for a diffeomorphism of a smooth manifold , 91(133) :2(6)202–210 On a fundamental theorem in the theory of dispersing billiards , 90(132) :3415–431 Bifurcations of topological type at singular points of parametrized vector fields , 6 :297–98 Cohomology of dynamical systems , 36 :61296–1320 Geodesic flows on compact Riemann surfaces without focal points , 27 :5(167)245–246 Lectures on bifurcations in versal families , 27 :5(167)119–184 Gibbs measures in ergodic theory , 27 :4(166)21–64 On the relations among various entropy characteristics of dynamical systems , 35 :2324–366 The topology of basis sets for Smale diffeomorphisms , 84(126) :2301–312 Invariant measure with maximal entropy for a U-diffeomorphism , 4 :421–30 Certain measures associated with $U$ -flows on compact manifolds , 4 :162–76 Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards , 25 :2(152)141–192 Differentiable dynamical systems , 25 :1(151)113–185 A certain dynamical system , 23 :4(142)251–252 Invariant Markov subsets of diffeomorphisms , 23 :2(140)209–210 Some smooth ergodic systems , 22 :5(137)107–172 Lectures on the entropy theory of measure-preserving transformations , 22 :5(137)3–56 Qualitative theory of dynamical systems and foliations in the Moscow school of mathematics in the first half of the 1960s (Dedicated to the memory of V. I. Arnold) , 65 :4(394)201–207 Dmitrii Viktorovich Anosov (on his 60th birthday) , 52 :2(314)193–200
© , 2025
