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Trudy Mat. Inst. Steklov., 1967, Volume 90, Pages 3–210 (Mi tm2795)  

This article is cited in 129 scientific papers (total in 132 papers)

Geodesic flows on closed Riemannian manifolds of negative curvature

D. V. Anosov

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English version:
Proceedings of the Steklov Institute of Mathematics, 1967, 90, 1–235

Bibliographic databases:

Document Type: Book
UDC: 51.06

Citation: D. V. Anosov, “Geodesic flows on closed Riemannian manifolds of negative curvature”, Trudy Mat. Inst. Steklov., 90, 1967, 3–210; Proc. Steklov Inst. Math., 90 (1967), 1–235

Citation in format AMSBIB
\by D.~V.~Anosov
\paper Geodesic flows on closed Riemannian manifolds of negative curvature
\serial Trudy Mat. Inst. Steklov.
\yr 1967
\vol 90
\pages 3--210
\jour Proc. Steklov Inst. Math.
\yr 1967
\vol 90
\pages 1--235

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    This publication is cited in the following articles:
    1. V. A. Rokhlin, “Lectures on the entropy theory of measure-preserving transformations”, Russian Math. Surveys, 22:5 (1967), 1–52  mathnet  crossref  mathscinet  zmath
    2. D. V. Anosov, Ya. G. Sinai, “Some smooth ergodic systems”, Russian Math. Surveys, 22:5 (1967), 103–167  mathnet  crossref  mathscinet  zmath
    3. V. M. Alekseev, “Invariantnye markovskie podmnozhestva diffeomorfizmov”, UMN, 23:2(140) (1968), 209–210  mathnet  mathscinet  zmath
    4. L. D. Pustylnikov, “Ob odnoi dinamicheskoi sisteme”, UMN, 23:4(142) (1968), 251–252  mathnet  mathscinet  zmath
    5. S. Smeil, “Differentsiruemye dinamicheskie sistemy”, UMN, 25:1(151) (1970), 113–185  mathnet  mathscinet
    6. Ya. G. Sinai, “Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards”, Russian Math. Surveys, 25:2 (1970), 137–189  mathnet  crossref  mathscinet  zmath
    7. G. A. Margulis, “Certain measures associated with $U$-flows on compact manifolds”, Funct. Anal. Appl., 4:1 (1970), 55–67  mathnet  crossref  mathscinet  zmath
    8. B. M. Gurevich, “Invariant measure with maximal entropy for a U-diffeomorphism”, Funct. Anal. Appl., 4:4 (1970), 282–289  mathnet  crossref  mathscinet  zmath
    9. E. I. Dinaburg, “On the relations among various entropy characteristics of dynamical systems”, Math. USSR-Izv., 5:2 (1971), 337–378  mathnet  crossref  mathscinet  zmath
    10. R. V. Plykin, “The topology of basis sets for Smale diffeomorphisms”, Math. USSR-Sb., 13:2 (1971), 297–307  mathnet  crossref  mathscinet  zmath
    11. Ya. G. Sinai, “Gibbs measures in ergodic theory”, Russian Math. Surveys, 27:4 (1972), 21–69  mathnet  crossref  mathscinet  zmath
    12. V. I. Arnol'd, “Lectures on bifurcations in versal families”, Russian Math. Surveys, 27:5 (1972), 54–123  mathnet  crossref  mathscinet  zmath
    13. A. B. Kramli, “Geodezicheskie potoki na kompaktnykh rimanovykh poverkhnostyakh bez fokalnykh tochek”, UMN, 27:5(167) (1972), 245–246  mathnet  mathscinet  zmath
    14. A. N. Livshits, “Cohomology of dynamical systems”, Math. USSR-Izv., 6:6 (1972), 1278–1301  mathnet  crossref  mathscinet  zmath
    15. A. N. Shoshitaishvili, “Bifurcations of topological type at singular points of parametrized vector fields”, Funct. Anal. Appl., 6:2 (1972), 169–170  mathnet  crossref  mathscinet  zmath
    16. A. B. Katok, “Ergodic perturbations of degenerate integrable Hamiltonian systems”, Math. USSR-Izv., 7:3 (1973), 535–571  mathnet  crossref  mathscinet  zmath
    17. D. B. Fuchs, “Characteristic classes of foliations”, Russian Math. Surveys, 28:2 (1973), 1–16  mathnet  crossref  mathscinet  zmath
    18. M. I. Brin, Ya. B. Pesin, “Chastichno giperbolicheskie dinamicheskie sistemy”, UMN, 28:3(171) (1973), 169–170  mathnet  mathscinet  zmath
    19. L. A. Bunimovich, “Vklyuchenie sdvigov Bernulli v nekotorye spetsialnye potoki”, UMN, 28:3(171) (1973), 171–172  mathnet  mathscinet  zmath
    20. J. H. Bernstein, B. I. Rozenfel'd, “Homogeneous spaces of infinite-dimensional Lie algebras and characharacteristic classes of foliations”, Russian Math. Surveys, 28:4 (1973), 107–142  mathnet  crossref  mathscinet  zmath
    21. M. I. Brin, Ya. B. Pesin, “Potoki reperov na mnogoobraziyakh otritsatelnoi krivizny”, UMN, 28:4(172) (1973), 209–210  mathnet  mathscinet  zmath
    22. B. M. Gurevich, Ya. G. Sinai, Yu. M. Sukhov, “On invariant measures of dynamical systems of one-dimensional statistical mechanics”, Russian Math. Surveys, 28:5 (1973), 49–86  mathnet  crossref  mathscinet  zmath
    23. Ya. B. Pesin, “On the existence of invariant fiberings for a diffeomorphism of a smooth manifold”, Math. USSR-Sb., 20:2 (1973), 213–222  mathnet  crossref  mathscinet  zmath
    24. L. A. Bunimovich, Ya. G. Sinai, “On a fundamental theorem in the theory of dispersing billiards”, Math. USSR-Sb., 19:3 (1973), 407–423  mathnet  crossref  mathscinet  zmath
    25. A. I. Shnirelman, “Ergodicheskie svoistva sobstvennykh funktsii”, UMN, 29:6(180) (1974), 181–182  mathnet  mathscinet  zmath
    26. Yu. I. Kifer, “On small random perturbations of some smooth dynamical systems”, Math. USSR-Izv., 8:5 (1974), 1083–1107  mathnet  crossref  mathscinet
    27. L. A. Bunimovich, “On billiards close to dispersing”, Math. USSR-Sb., 23:1 (1974), 45–67  mathnet  crossref  mathscinet  zmath
    28. R. V. Plykin, “Sources and sinks of $A$-diffeomorphisms of surfaces”, Math. USSR-Sb., 23:2 (1974), 233–253  mathnet  crossref  mathscinet  zmath
    29. M. I. Brin, Ya. B. Pesin, “Partially hyperbolic dynamical systems”, Math. USSR-Izv., 8:1 (1974), 177–218  mathnet  crossref  mathscinet  zmath
    30. L. A. Bunimovich, “On a class of special flows”, Math. USSR-Izv., 8:1 (1974), 219–232  mathnet  crossref  mathscinet  zmath
    31. D. S. Ornshtein, “Primeneniya ergodicheskoi teorii k teorii veroyatnostei”, UMN, 30:3(183) (1975), 125–146  mathnet  mathscinet  zmath
    32. M. I. Brin, “Topological transitivity of one class of dynamic systems and flows of frames on manifolds of negative curvature”, Funct. Anal. Appl., 9:1 (1975), 8–16  mathnet  crossref  mathscinet  zmath
    33. Ya. B. Pesin, “Families of invariant manifolds corresponding to nonzero characteristic exponents”, Math. USSR-Izv., 10:6 (1976), 1261–1305  mathnet  crossref  mathscinet  zmath
    34. A. G. Vainshtein, L. M. Lerman, “Neavtonomnye nadstroiki nad diffeomorfizmami i geometriya blizosti”, UMN, 31:5(191) (1976), 231–232  mathnet  mathscinet  zmath
    35. Ya. B. Pesin, “Characteristic Lyapunov exponents and smooth ergodic theory”, Russian Math. Surveys, 32:4 (1977), 55–114  mathnet  crossref  mathscinet  zmath
    36. Ya. B. Pesin, “Geodesic flows on closed Riemannian manifolds without focal points”, Math. USSR-Izv., 11:6 (1977), 1195–1228  mathnet  crossref  mathscinet  zmath
    37. Ya. B. Pesin, “Geodesic flows with hyperbolic behaviour of the trajectories and objects connected with them”, Russian Math. Surveys, 36:4 (1981), 1–59  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    38. V. V. Kozlov, “Integrability and non-integrability in Hamiltonian mechanics”, Russian Math. Surveys, 38:1 (1983), 1–76  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    39. Arnold V.I., “Peculiarities, Bifurcations and Catastrophes”, Uspekhi Fizicheskikh Nauk, 141:4 (1983), 569–590  isi
    40. R. V. Plykin, “On the geometry of hyperbolic attractors of smooth cascades”, Russian Math. Surveys, 39:6 (1984), 85–131  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    41. A. B. Antonevich, “On two methods of studying the invertibility of operators in $C^*$-algebras induced by dynamical systems”, Math. USSR-Sb., 52:1 (1985), 1–20  mathnet  crossref  mathscinet  zmath
    42. Krivoshei I.V., “Diffusion of the Representing Point in the Chemically Interacting Molecule System Through the Multidimensional Potential Barrier as a Result of a Dynamic Chaos”, Khimicheskaya Fizika, 4:11 (1985), 1443–1453  isi
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    46. Ya. G. Sinai, N. I. Chernov, “Ergodic properties of certain systems of two-dimensional discs and three-dimensional balls”, Russian Math. Surveys, 42:3 (1987), 181–207  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    47. V. B. Minasyan, “An averaging principle for parabolic equations (“fast variable – $\mathcal J$-flow”)”, Russian Math. Surveys, 43:4 (1988), 225–226  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    48. D. V. Anosov, “On the behavior in the Euclidean or Lobachevsky plane of trajectories that cover trajectories of flows on closed surfaces. II”, Math. USSR-Izv., 32:3 (1989), 449–474  mathnet  crossref  mathscinet  zmath
    49. Gurzadian V.G., Kocharian A.A., “Dynamical Chaos and Regular Field”, Doklady Akademii Nauk Sssr, 301:2 (1988), 323–325  mathnet  isi
    50. M. L. Blank, “Small perturbations of chaotic dynamical systems”, Russian Math. Surveys, 44:6 (1989), 1–33  mathnet  crossref  mathscinet  zmath  adsnasa
    51. S. Kh. Aranson, V. Z. Grines, “The topological classification of cascades on closed two-dimensional manifolds”, Russian Math. Surveys, 45:1 (1990), 1–35  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    52. L. A. Bunimovich, Ya. G. Sinai, N. I. Chernov, “Statistical properties of two-dimensional hyperbolic billiards”, Russian Math. Surveys, 46:4 (1991), 47–106  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    53. V. V. Solodov, “Topological topics in dynamical systems theory”, Russian Math. Surveys, 46:4 (1991), 107–134  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    54. V. I. Bakhtin, “A direct method of constructing an invariant measure on a hyperbolic attractor”, Russian Acad. Sci. Izv. Math., 41:2 (1993), 207–227  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    55. E. A. Sataev, “Invariant measures for hyperbolic maps with singularities”, Russian Math. Surveys, 47:1 (1992), 191–251  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    56. I. A. Taimanov, “Closed extremals on two-dimensional manifolds”, Russian Math. Surveys, 47:2 (1992), 163–211  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    57. Kirillov A.A., “On the Question About the Character of the Spatial–Distribution of the Metrics Inhomogeneity in the General–Solution of the Einstein Equations Near the Cosmologic Singularity”, Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki, 103:3 (1993), 721–729  isi
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    59. Litvinenko Y.E., “Regular and Chaotic Acceleration of Electrons in Reconnecting Current Sheets on the Sun”, Astronomicheskii Zhurnal, 72:1 (1995), 113–119  isi
    60. M. V. Shamolin, “The definition of relative robustness and a two-parameter family of phase portraits in the dynamics of a rigid body”, Russian Math. Surveys, 51:1 (1996), 165–166  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
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    62. V. V. Ryzhikov, “Intertwinings of tensor products, and the stochastic centralizer of dynamical systems”, Sb. Math., 188:2 (1997), 237–263  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    63. V. Z. Grines, “On the topological classification of structurally stable diffeomorphisms of surfaces with one-dimensional attractors and repellers”, Sb. Math., 188:4 (1997), 537–569  mathnet  crossref  crossref  mathscinet  zmath  isi
    64. V. V. Ryzhikov, “Polymorphisms, Joinings, and the Tensor Simplicity of Dynamical Systems”, Funct. Anal. Appl., 31:2 (1997), 109–118  mathnet  crossref  crossref  mathscinet  zmath  isi
    65. R. I. Bogdanov, “Factorization of Diffeomorphisms over Phase Portraits of Vector Fields on the Plane”, Funct. Anal. Appl., 31:2 (1997), 126–128  mathnet  crossref  crossref  mathscinet  zmath  isi
    66. A. N. Starkov, “New progress in the theory of homogeneous flows”, Russian Math. Surveys, 52:4 (1997), 721–818  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    67. D. V. Turaev, L. P. Shilnikov, “An example of a wild strange attractor”, Sb. Math., 189:2 (1998), 291–314  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    68. Dolgopyat D., “Prevalence of rapid mixing in hyperbolic flows”, Ergodic Theory and Dynamical Systems, 18:5 (1998), 1097–1114  crossref  isi
    69. B. M. Gurevich, S. R. Katok, “Arithmetic coding and entropy for the positive geodesic flow on the modular surface”, Mosc. Math. J., 1:4 (2001), 569–582  mathnet  mathscinet  zmath  elib
    70. Nitica V., Torok A., “Local rigidity of certain partially hyperbolic actions of product type”, Ergodic Theory and Dynamical Systems, 21:4 (2001), 1213–1237  isi
    71. Coudene Y., “Cocycles and stable foliations of Axiom A flows”, Ergodic Theory and Dynamical Systems, 21:3 (2001), 767–775  isi
    72. V. Z. Grines, E. V. Zhuzhoma, “Structurally stable diffeomorphisms with basis sets of codimension one”, Izv. Math., 66:2 (2002), 223–284  mathnet  crossref  crossref  mathscinet  zmath
    73. E. V. Zhuzhoma, V. S. Medvedev, “On non-orientable two-dimensional basic sets on 3-manifolds”, Sb. Math., 193:6 (2002), 869–888  mathnet  crossref  crossref  mathscinet  zmath  isi
    74. D. V. Anosov, E. V. Zhuzhoma, “Asymptotic Behavior of Covering Curves on the Universal Coverings of Surfaces”, Proc. Steklov Inst. Math., 238 (2002), 1–46  mathnet  mathscinet  zmath
    75. Dolgopyat D., “On mixing properties of compact group extensions of hyperbolic systems”, Israel Journal of Mathematics, 130 (2002), 157–205  crossref  isi
    76. M. Viana, S. Luzzatto, “Parameter exclusions in Hénon-like systems”, Russian Math. Surveys, 58:6 (2003), 1053–1092  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    77. Torok A., “Rigidity of partially hyperbolic actions of property (T) groups”, Discrete and Continuous Dynamical Systems, 9:1 (2003), 193–208  isi
    78. Field M., “Persistent ergodicity and stably ergodic SRB attractors in equivariant dynamics”, Bifurcation, Symmetry and Patterns, 2003, 75–86  isi
    79. V. V. Gorbatsevich, “On algebraic Anosov diffeomorphisms on nilmanifolds”, Siberian Math. J., 45:5 (2004), 821–839  mathnet  crossref  mathscinet  zmath  isi
    80. Pugh C., Shub M., Starkov A., “Stable ergodicity”, Bulletin of the American Mathematical Society, 41:1 (2004), 1–41  isi
    81. V. S. Anishchenko, T. E. Vadivasova, G. A. Okrokvertskhov, G. I. Strelkova, “Statistical properties of dynamical chaos”, Phys. Usp., 48:2 (2005), 151–166  mathnet  crossref  crossref  adsnasa  isi  elib  elib
    82. D. V. Anosov, E. V. Zhuzhoma, “Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings”, Proc. Steklov Inst. Math., 249 (2005), 1–221  mathnet  mathscinet  zmath
    83. E. A. Sataev, “Non-existence of stable trajectories in non-autonomous perturbations of systems of Lorenz type”, Sb. Math., 196:4 (2005), 561–594  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    84. Field M., Melbourne I., Torok A., “Stable ergodicity for smooth compact Lie group extensions of hyperbolic basic sets”, Ergodic Theory and Dynamical Systems, 25:2 (2005), 517–551  crossref  isi
    85. A. Enciso, D. Peralta-Salas, “Classical and quantum integrability of Hamiltonians without scattering states”, Theoret. and Math. Phys., 148:2 (2006), 1086–1099  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    86. N. É. Klinshpont, “On the topological classification of Lorenz-type attractors”, Sb. Math., 197:4 (2006), 547–593  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    87. D. S. Dzhumabaev, “Bounded solutions of families of systems of differential equations and their approximation”, J. Math. Sci., 150:6 (2008), 2473–2487  mathnet  crossref  mathscinet  zmath
    88. A. S. Gorodetski, “The regularity of central leaves of partially hyperbolic sets and its applications”, Izv. Math., 70:6 (2006), 1093–1116  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    89. A. A. Kornev, “A method for the asymptotic stabilization to a given trajectory based on the initial data”, Comput. Math. Math. Phys., 46:1 (2006), 34–48  mathnet  crossref  mathscinet  zmath  elib  elib
    90. A. A. Agrachev, “The Curvature and Hyperbolicity of Hamiltonian Systems”, Proc. Steklov Inst. Math., 256 (2007), 26–46  mathnet  crossref  mathscinet  zmath
    91. A. A. Kornev, “A Method of Graph Transformation Type for Numerical Simulation of Invariant Manifolds”, Proc. Steklov Inst. Math., 256 (2007), 223–237  mathnet  crossref  mathscinet  zmath  elib  elib
    92. Proc. Steklov Inst. Math., 256 (2007), 290–305  mathnet  crossref  mathscinet  zmath
    93. A. A. Ashimov, K. A. Sagadiev, Yu. V. Borovskii, N. A. Iskakov, “O teorii parametricheskogo regulirovaniya razvitiya rynochnoi ekonomiki”, UBS, 17 (2007), 5–28  mathnet
    94. M. V. Shamolin, “Dynamical systems with variable dissipation: Approaches, methods, and applications”, J. Math. Sci., 162:6 (2009), 741–908  mathnet  crossref  mathscinet  zmath  elib  elib
    95. R. I. Bogdanov, M. R. Bogdanov, “The weakly dissipative version of the Kolmogorov–Arnold–Moser theory and practical calculations”, Comput. Math. Math. Phys., 48:3 (2008), 447–463  mathnet  crossref  mathscinet  zmath  isi
    96. A. N. Gorban', V. M. Cheresiz, “Slow Relaxations and Bifurcations of the Limiting Sets of Dynamical Systems. III. Slow Relaxations of a Separate Semi-Flow”, J. Appl. Industr. Math., 5:1 (2011), 65–72  mathnet  crossref  mathscinet
    97. E. A. Sataev, “Some properties of singular hyperbolic attractors”, Sb. Math., 200:1 (2009), 35–76  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    98. A. A. Ivanchikov, A. A. Kornev, A. V. Ozeritskii, “On a new approach to asymptotic stabilization problems”, Comput. Math. Math. Phys., 49:12 (2009), 2070–2084  mathnet  crossref  isi
    99. E. A. Sataev, “Invariant measures for singular hyperbolic attractors”, Sb. Math., 201:3 (2010), 419–470  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    100. S. P. Novikov, “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)”, Russian Math. Surveys, 65:4 (2010), 795–802  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    101. V. V. Trofimov, M. V. Shamolin, “Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems”, J. Math. Sci., 180:4 (2012), 365–530  mathnet  crossref  mathscinet
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    103. Field M.J., “Exponential mixing for smooth hyperbolic suspension flows”, Regular & Chaotic Dynamics, 16:1–2 (2011), 90–103  crossref  isi
    104. N. I. Zhukova, “Compact leaves of structurally stable foliations”, Proc. Steklov Inst. Math., 278 (2012), 94–105  mathnet  crossref  mathscinet  isi
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    106. Kornev A.A., “Data Assimilation Problems and Stabilization with Respect to Unstable Manifolds”, Russ. J. Numer. Anal. Math. Model, 29:1 (2014), 47–55  crossref  isi
    107. N. A. Solodovnikov, “Boundary-preserving mappings of a manifold with intermingling basins of components of the attractor, one of which is open”, Trans. Moscow Math. Soc., 75 (2014), 69–76  mathnet  crossref  elib
    108. Grines V., Pochinka O., Zhuzhoma E., “on Families of Diffeomorphisms With Bifurcations of Attractive and Repelling Sets”, Int. J. Bifurcation Chaos, 24:8 (2014), 1440015  crossref  isi
    109. E. A. Sataev, “Mixing and eigenfunctions of singular hyperbolic attractors”, Sb. Math., 206:4 (2015), 572–599  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    110. S. M. Aseev, V. M. Buchstaber, R. I. Grigorchuk, V. Z. Grines, B. M. Gurevich, A. A. Davydov, A. Yu. Zhirov, E. V. Zhuzhoma, M. I. Zelikin, A. B. Katok, A. V. Klimenko, V. V. Kozlov, V. P. Leksin, M. I. Monastyrskii, A. I. Neishtadt, S. P. Novikov, E. A. Sataev, Ya. G. Sinai, A. M. Stepin, “Dmitrii Viktorovich Anosov (obituary)”, Russian Math. Surveys, 70:2 (2015), 369–381  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    111. V. Z. Grines, Ye. V. Zhuzhoma, O. V. Pochinka, “Rough diffeomorphisms with basic sets of codimension one”, Journal of Mathematical Sciences, 225:2 (2017), 195–219  mathnet  crossref
    112. Sergey P. Kuznetsov, “Hyperbolic Chaos in Self-oscillating Systems Based on Mechanical Triple Linkage: Testing Absence of Tangencies of Stable and Unstable Manifolds for Phase Trajectories”, Regul. Chaotic Dyn., 20:6 (2015), 649–666  mathnet  crossref  mathscinet  adsnasa
    113. A. V. Kochergin, “Besicovitch Cylindrical Transformation with a Hölder Function”, Math. Notes, 99:3 (2016), 382–389  mathnet  crossref  crossref  mathscinet  isi  elib
    114. G. K. Savvidi, “Anosov C-systems and random number generators”, Theoret. and Math. Phys., 188:2 (2016), 1155–1171  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    115. V. Z. Grines, E. V. Zhuzhoma, O. V. Pochinka, “Sistemy Morsa–Smeila i topologicheskaya struktura nesuschikh mnogoobrazii”, Trudy Krymskoi osennei matematicheskoi shkoly-simpoziuma, SMFN, 61, RUDN, M., 2016, 5–40  mathnet
    116. Valery V. Kozlov, “On the Extendability of Noether’s Integrals for Orbifolds of Constant Negative Curvature”, Regul. Chaotic Dyn., 21:7-8 (2016), 821–831  mathnet  crossref  mathscinet
    117. Grines V.Z., Medvedev T.V., Pochinka O.V., “Dynamical Systems on 2-and 3-Manifolds Introduction”: Grines, VZ Medvedev, TV Pochinka, OV, Dynamical Systems on 2- and 3-Manifolds, Developments in Mathematics, 46, Springer International Publishing Ag, 2016, XVII–XXVI  isi
    118. S. P. Kuznetsov, V. P. Kruglov, “On some simple examples of mechanical systems with hyperbolic chaos”, Proc. Steklov Inst. Math., 297 (2017), 208–234  mathnet  crossref  crossref  mathscinet  isi  elib
    119. Mark Pollicott, “A note on the shrinking sector problem for surfaces of variable negative curvature”, Proc. Steklov Inst. Math., 297 (2017), 254–263  mathnet  crossref  crossref  mathscinet  isi  elib
    120. V. Z. Grines, E. V. Zhuzhoma, V. S. Medvedev, “On the structure of the ambient manifold for Morse–Smale systems without heteroclinic intersections”, Proc. Steklov Inst. Math., 297 (2017), 179–187  mathnet  crossref  crossref  mathscinet  isi  elib
    121. S. V. Gonchenko, D. V. Turaev, “On three types of dynamics and the notion of attractor”, Proc. Steklov Inst. Math., 297 (2017), 116–137  mathnet  crossref  crossref  mathscinet  isi  elib
    122. Pierre Berger, “Emergence and non-typicality of the finiteness of the attractors in many topologies”, Proc. Steklov Inst. Math., 297 (2017), 1–27  mathnet  crossref  crossref  mathscinet  isi  elib
    123. V. Z. Grines, E. D. Kurenkov, “O giperbolicheskikh attraktorakh i repellerakh endomorfizmov”, Nelineinaya dinam., 13:4 (2017), 557–571  mathnet  crossref  elib
    124. Cherkashin D., Kryzhevich S., “Weak Forms of Shadowing in Topological Dynamics”, Topol. Methods Nonlinear Anal., 50:1 (2017), 125–150  crossref  isi
    125. T. V. Dudnikova, “O neravnovesnykh sostoyaniyakh kristallicheskoi reshetki”, Preprinty IPM im. M. V. Keldysha, 2018, 015, 26 pp.  mathnet  crossref
    126. H. R. Poghosyan, H. M. Babujian, G. K. Savvidi, “Artin billiard: Exponential decay of correlation functions”, Theoret. and Math. Phys., 197 (2018), 1592–1610  mathnet  crossref  crossref  adsnasa  isi  elib
    127. Conchenko A.S., Conchenko V S., Kazakovt V O., Kozlov A.D., “Elements of Contemporary Theory of Dynamical Chaos: a Tutorial. Part i. Pseudohyperbolic Attractors”, Int. J. Bifurcation Chaos, 28:11 (2018), 1830036  crossref  mathscinet  isi  scopus
    128. Victor Donnay, Daniel Visscher, “A New Proof of the Existence of Embedded Surfaces with Anosov Geodesic Flow”, Regul. Chaotic Dyn., 23:6 (2018), 685–694  mathnet  crossref
    129. Akhmet'ev P.M. Candelaresi S. Smirnov A.Y., “Minimum Quadratic Helicity States”, J. Plasma Phys., 84:6 (2018), 775840601  crossref  isi
    130. A. Yu. Kolesov, N. Kh. Rozov, V. A. Sadovnichii, “On the Hyperbolicity of Toral Endomorphisms”, Math. Notes, 105:2 (2019), 236–250  mathnet  crossref  crossref  elib
    131. V. Z. Grines, E. Ya. Gurevich, E. V. Zhuzhoma, O. V. Pochinka, “Klassifikatsiya sistem Morsa–Smeila i topologicheskaya struktura nesuschikh mnogoobrazii”, UMN, 74:1(445) (2019), 41–116  mathnet  crossref  elib
    132. Martirosyan N., Savvidy K., Savvidy G., “Spectral Test of the Mixmax Random Number Generators”, Chaos Solitons Fractals, 118 (2019), 242–248  crossref  isi
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