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NOMA 2017.Pdf SteklovMinistry of Mathematical Education and Science Institute of the Russian of theFederation RAS Institute of InformationNational Research Technologies, Lobachevsky State Mathematics University of Nizhni and Novgorod Mechanics of the National Research Lobachevsky State University of Nizhni Novgorod BOOKVESTNIK of ABSTRACTS OF LOBACHEVSKYThe Conference STATE NOMA-2017 UNIVERSITY is partiallyOF supported NIZHNI by NOVGOROD the Russian Foundation for Basic Research, grant No 17-01-20264 No. 2 Nizhni Novgorod Nizhni Novgorod University Press 20217 1 Vestnik of Lobachevsky State University of Nizhni Novgorod. No. 2. – Nizhni Novgorod: Nizhni Nov- gorod University Press, 2017. – 256 pp. The journal appears six times a year Editor-in-Chief Martynov A.V. D.Sc.(Law), Assoc.Prof. Editorial Council: Martynov A.V., D.Sc.(Law), Assoc.Prof., UNN (Chairman); Kuznetsov A.A., D.Sc.(History), Assoc.Prof., UNN (DeputyThe ChairmanConference); Ruchina NOMA-2017: L.I., Cand.Sc. Book(Philology of ),abstracts. Assoc. Prof. - ,Nizhni UNN (Deputy Novgorod: Chairman Nizhni); Gorbatova Novgorod M.K., LobachevskyCand.Sc.(Law ),State Assoc.Prof. University,, UNN 2017.(Executive - 72 Secretary р. of the Editorial Council); Avrutin Yu.E., D.Sc.(Law), Prof., St.Petersburg University of the Ministry of Internal Affairs of the Russian Federation (St.Petersburg); ISBNAnd 978-5-91326-399-5reev S.N., D.Sc.(Philology), Prof., Smolensk State University (Smolensk); Belokrenitsky V.Ya., D.Sc.(History), Prof., RAS Institute of Oriental Studies (Moscow); Gracheva E.Yu., D.Sc.(Law), Prof., Kutafin Moscow State Law Academy (Moscow); Egorova M.A., D.Sc.(Law), Assoc. Prof., Russian Presidential Academy of National Economy and Public Administration (Moscow); Karasik V.I., D.Sc.(Philology), Prof., Volgograd Social Scientific,and Pedagogical Programme University (Volgograd Committee); Kolesnikova M.E., D.Sc.(History), Prof., North Caucasus Federal University (Stavropol); Kosach G.G., D.Sc.(History), Prof., Russian State University for the Humanities (Mos- Dmitriicow); Lebedeva V. Treschev M.M., D.Sc. (Russia)(Political (Chairman)Science), Prof., MGIMO (University) of the Ministry of Foreign Affairs of the FransiscoRussian Feder Balibreaation (Moscow (Spain)); Maslennikov A.A., D.Sc.(History), Prof., RAS Institute of Archaeology (Moscow); LyudmilaMisonzhnikov S. EfremovaB.Ya., D.Sc.(Philology (Russia)), Prof. (Vice-Chairman), St. Petersburg State University (St. Petersburg); Molodyakov V.E., D.Sc.(Political Science), Cand.Sc.(History), Prof., Takushoku University (Tokyo, Japan); Polonsky V.V., DanieleD.Sc.(Philology Fournier-Prunaret), Prof., RAS Institute (France) of World Literature (Moscow); Pospíšil I., PhDr., DrSc., Prof., Institute Lauraof Slavic Gardini Studies, (Italy) Masaryk University (Brno, Czech Republic); Rossinsky B.V., D.Sc.(Law), Prof., Russian Law MariaAcademy Clara of the Russian Gracio Federation (Portugal) Ministry of Justice (Moscow); Sergunin A.A., D.Sc.(Political Science), Prof., St. Petersburg State University (St. Petersburg); Starilov Yu.N., D.Sc.(Law), Prof., Voronezh State University (Vo- Ricardoronezh); Lopez-RuizStrongin R.G., D.Sc. (Spain)(Physics & Mathеmatics), Prof., UNN; Surikov I.E., D.Sc.(History), Prof., RAS MikhailInstitute I. Malkin of Universal (Russia) History (Moscow); S. Terzić, D.Sc.(History) (Republic of Serbia); Uvarov P.Yu., VladimirD.Sc.(History I.), Nekorkin Prof., Corr. (Russia)Member of the (Vice-Chairman) Russian Academy of Sciences, RAS Institute of World History (Moscow); Tzygankov A.P., D.Sc. (Political Science), Prof., University of San Francisco (San Francisco, USA); Shiri- Yoshifuminyants Nishio A.A., (Japan) D.Sc.(Political Science), Prof., Lomonosov Moscow State University (Moscow) Anatoly M. Stepin (Russia) Editorial Board: Martynov A.V., D.Sc.(Law), Assoc.Prof., UNN (Chairman); Kuznetsov A.A., D.Sc.(History), Assoc.Prof., UNN Local(Deputy OrganizingChairman); Ruchina CommitteeL.I., Cand.Sc.(Philology), Assoc. Prof., UNN (Deputy Chairman); Gorbatova M.K., Cand.Sc.(Law), Assoc.Prof., UNN (Executive Secretary of the Editorial Board ); Baluev D.G., D.Sc.(Political ViktorScience P.), Prof. Gergel, UNN (Chairman); Belov M.V., D.Sc.(History), Prof., UNN; Vinogradov S.N., D.Sc.(Philology), Prof., UNN; DmitriiGrachev V. Balandin S.I., D.Sc.(Political (Vice-Chairman) Science), Prof., UNN; Gribov N.N., Cand.Sc.(History), Assoc. Prof., UNN; SvetlanaIzhnina S. L.P., Belmesova Cand.Sc.(Law), Assoc.Prof., UNN; Kornilov A.A., D.Sc.(History), Prof., UNN; Marfitsin P.G., LyudmilaD.Sc. S.(Law Efremova), Prof., UNN (Vice-Chairman); Maslov A.N., Cand.Sc.(History), Assoc. Prof., UNN; Makhlayuk A.V., D.Sc.(History), Prof., UNN; Petrov A.V., Cand.Sc.(Law), Assoc.Prof., UNN; Petrova G.O., D.Sc.(Law), Prof., AndreyUNN; S.Ratsiburskaya Fil’chenkov L.V., D.Sc.(Philology), Prof., UNN; Romanovskaya V.B., D.Sc.(Law), Prof., UNN; ElenaRyzhov N. Makhrova I.V., D.Sc.(History), Prof., UNN; Rykhtik M.I., D.Sc.(Political Science), Prof., UNN (Deputy MikhailChairman I. Malkin); Somov V.A., D.Sc.(History), Prof., UNN; Sukhikh O.S., D.Sc.(Philology), Assoc.Prof., UNN; Tikhonova S.S., Cand.Sc.(Law), Assoc.Prof., UNN; Assoc.Prof., UNN; Tsyganov V.I., Cand.Sc.(Law), Elena V. MalkinaAssoc.Prof., UNN; Yumatov V.A., Cand.Sc.(Law), Assoc. Prof., UNN Vsevolod Zh. Sakbaev Ksenia S. Vaniukova Electronic version of the journal can be found at: http://www.vestnik.unn.ru/ ISBN 978-5-91326-399-5 © Lobachevsky State University of Nizhni Novgorod, 2017 2 3 CONTENTS Afraimovich V. Metric characteristics of complexity in dynamical systems .......................................... 5 Antonovskaya O.G. Lyapunov function method and estimation of state space structure of nonlinear maps ...................................................................................................................................... 5 Belmesova S.S. On the quadratic Morse-Smale endomorphisms ........................................................... 7 Belykh V.N. Piecewise smooth maps with strange and wild attractors................................................... 8 Bondarenko V., Taralova I. Classification method of mixed chaotic/stochastic data ......................... 8 Chikazawa T., Uwate Y., Nishio Y. Influence of chaotic behavior in complex networks by changing network topology .............................................................................................................. 10 Efremova L.S. The concept of integrability for multifunctions and dynamics of the trace map ...... 12 Filchenkov A.S. On the totally transitive skew products on n-dimensional cell ................................. 13 Glebsky L. Almost- and near-solutions of equations in unitary matrices ............................................ 15 Gonchenko S.V. Three types of dynamical chaos .................................................................................... 16 Gr´acio C. Characteristics of networks with hyperbolic geometry and symbolic dynamics .............. 17 Grines V.Z. On topology of manifolds admitting Morse-Smale systems without intersections of codimension one separatrices ........................................................................................................... 18 Gurevich E.Ya. On embedding of Morse-Smale diffeomorphisms in topological flows ................... 19 Gusev N.A. Superposition principle for the continuity equation in a bounded domain ................... 20 Isaenkova N.V. On basic sets of Smale-Vietoris A-diffeomorphisms ................................................... 22 Klinshov V.V. Networks of pulse delay coupled oscillators: reduction to discrete maps .................... 22 Klinshpont N.E. Some properties of singular hyperbolic and Lorenz-type attractors ....................... 23 Kobayashi M. An investigation of phenomena observed in scale-free coupled circle maps ............. 24 Kochergin A.V. Besicovich cascades and H¨older condition ................................................................... 25 Krein M.N. Nonlinear maps of noncommutative algebras .................................................................... 26 Kruglov V.E., Pochinka O.V. Topological classification of W-stable flows on surfaces ...................... 28 Kurenkov E.D. On existence of one-dimensional Cantor type repeller on two-torus ....................... 29 L´opez-Ruiz R. Functional iteration models for random markets .......................................................... 30 Lozi R. Mastering high quality randomness via chaos theory ............................................................... 31 Makarenko A.V. The TQ-bifurcations and generation of the T8N, T8P symbols .............................. 32 Makhrova E.N. The structure of dendrites and continuous maps on them ......................................... 34 Malkin M.I., Safonov K.A. On kneading constructions for invariant measures of discontinuous one-dimensional maps with zero entropy ............................................................ 35 Maslennikov O.V., Shchapin D.S., Nekorkin V.I. Transient sequences in a hypernetwork generated by an adaptive network of spiking neurons ....................................................................... 36 Gorbunkov M.V., Maslova Yu.Ya., Shabalin Yu.V. Maps in a laser harmonically mode-locked by optoelectronic feedback ..................................................................................................................... 37 Matyushkin I.V., Zapletina M.A. Complex maps of exp(iz) kind: solitary and lattice coupled by linear
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