Edit Profile (opens in new tab) Sharkovs’kyĭ, Oleksandr Mykolaĭovych (b. 1936 d. 2022) Co-Author Distance Author ID: sharkovskyi.oleksandr-m Published as: Sharkovskij, A. N.; Sharkovsky, A. N.; Sharkovskiĭ, A. N.; Sharkovsky, Alexander; Sharkovskii, A. N.; Sharkovs’kyi, O. M.; Sharkovs’kyj, O. M.; Sharkovsky, Alexander N.; Sharkovskij, O. M.; Sharkovsky, O. M.; Sharkovsky, A.; Sharkovsky, Aleksander N.; Sharkovsky, Oleksandr M.; Sharkovsky, Aleksandr; Sharkovskiĭj, A. N.; Sharkovs’kij, O. M.; Sharkovs’kyj, A. N.; Sarkovskij, A. N.; Sharkowsky, A. N.; Sharkovskiĭ, A. more...less Further Spellings: Sharkovskii, Aleksandr Nikolaevich; Шарковський Олександр Миколайович Homepage: https://www.imath.kiev.ua/~asharkov/ External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 158 Publications since 1960, including 7 Books 18 Contributions as Editor Biographic References: 5 Publications Co-Authors: 107 Co-Authors with 114 Joint Publications 3,936 Co-Co-Authors all top 5 Co-Authors 62 single-authored 32 Romanenko, Elena Yurievna 12 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 10 Fedorenko, Volodymyr V. 7 Ivanov, Anatoli F. 7 Majstrenko, Yu. L. 6 Lukovsky, Ivan Oleksandrovych 6 Pelyukh, Grygor P. 6 Sousa Ramos, José 5 Korolyuk, Volodymyr Semenovych 5 Makarov, Volodymyr Leonidovych 5 Perestyuk, Mykola Oleksiĭovych 5 Severino, Ricardo 5 Vinagre, Sandra M. 4 Berezans’kyĭ, Yuriĭ Makarovych 4 Dobrynskiĭ, Vladimir A. 4 Kolyada, Sergiǐ Fedorovych 4 Samoĭlenko, Anatoliĭ Mykhaĭlovych 4 Sivak, Andrei G. 3 Berezovsky, S. A. 3 Boĭchuk, Oleksandr Andriĭovych 3 Fedorenko, A. D. 3 Kasperov, V. N. 3 Khusainov, Denis Ya. 3 Maistrenko, Yuri L. 3 Nikitin, A. H. 3 Parasyuk, Igor O. 3 Shevelo, Vladimir Nikolajevič 3 Verejkina, Maryna B. 2 Akbergenov, A. A. 2 Bondarchuk, V. S. 2 Chua, Leon Ong 2 Derfel, G. A. 2 Drozd, Yuriĭ Anatoliĭovych 2 Polishchuk, V. M. 2 Portenko, Mykola Ivanovych 2 Rozov, Nikolaĭ Khristovich 2 Samoĭlenko, Yuriĭ Stefanovych 2 Sharko, Volodymyr Vasil’ovych 2 Tkachenko, Victor Ivanovich 2 Vasilishin, S. A. 1 Afraimovich, Valentin S. 1 Aliev, Sardar Yahya 1 Anosov, Dmitriĭ Viktorovich 1 Antonyuk, Oleksandra Viktorivna 1 Berezovskiĭ, Arnol’d Anatol’evich 1 Blokh, Alexander M. 1 Bunimovich, Leonid Abramovich 1 Deregel, Ph. 1 Diblík, Josef 1 Fečkan, Michal 1 Feldman, Eliot D. 1 Gaĭshun, Ivan Vasil’evich 1 Gonchenko, Sergey V. 1 Gorbachuk, Myroslav L’vovych 1 Grines, Vyacheslav Zigmundovich 1 Gronau, Detlef 1 Horbachuk, M. L. 1 Hutlyans’kyi, V. Ya. 1 Il’in, Vladimir Aleksandrovich 1 Ilyashenko, Yulij Sergeevich 1 Izobov, Nikolaĭ Alekseevich 1 Kahlig, Peter 1 Kashchenko, Sergeĭ Aleksandrovich 1 Katok, Anatole 1 Kenzegulov, Kh. K. 1 Khruslov, Eugene Yakovlevich 1 Kiguradze, Ivan Tarielovich 1 Kochubeĭ, Anatoliĭ Naumovych 1 Koshlyakov, Vladimir Nikolaevich 1 Kozlov, Valeriĭ Vasil’evich 1 Krasnyuk, Igor B. 1 Kravchenko, Viktor Filippovich 1 Kushnir, Roman M. 1 Lerman, Lev 1 Lozi, René 1 Maistrenko, Yury 1 Marchenko, V. O. 1 Martynyuk, Anatoliĭ Andriĭovych 1 Matkowski, Janusz 1 Matviichuk, M. Iu. 1 Millionshchikov, Vladimir Mikhaĭlovich 1 Mira, Christian 1 Mishchenko, Evgeniĭ Frolovich 1 Morozov, Al’bert Dmitrievich 1 Neĭshtadt, Anatoliĭ Iserovich 1 Pastur, Leonid Andreevich 1 Pesin, Yakov Borisovich 1 Pokhozhaev, Stanislav I. 1 Rebenko, Alexei L. 1 Reich, Ludwig 1 Ronto, Andrei 1 Ronto, M. I. 1 Shilnikov, Andrey L. 1 Sinaĭ, Yakov Grigor’evich 1 Sivak, Andrij 1 Smítal, Jaroslav 1 Stanzhyts’ky, O. M. 1 Sushko, Irina M. 1 Teplinsky, Yuriy V. 1 Treshchev, Dmitriĭ Valer’evich ...and 7 more Co-Authors all top 5 Serials 19 Ukraïns’kyĭ Matematychnyĭ Zhurnal 11 Ukrainian Mathematical Journal 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Grazer Mathematische Berichte 5 Journal of Difference Equations and Applications 4 Soviet Mathematics. Doklady 3 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 3 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 3 Dopovidi Akademiï Nauk Ukraïns’koï RSR 2 Differentsial’nye Uravneniya 2 Differential Equations 2 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications 2 Journal of Mathematical Sciences (New York) 2 National Academy of Sciences of Ukraine. Institute of Mathematics. Preprint 2 Nonlinear Dynamics 2 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 2 Mathematics and its Applications (Dordrecht) 2 Translations. Series 2. American Mathematical Society 1 Bulletin of the Australian Mathematical Society 1 Russian Mathematical Surveys 1 Proceedings of the American Mathematical Society 1 Aequationes Mathematicae 1 Dopovidi Akademiï Nauk Ukraïni 1 Zagadnienia Drgań Nieliniowych 1 Differential Equations and Dynamical Systems 1 Regular and Chaotic Dynamics 1 Journal of Nonlinear Mathematical Physics 1 Annales Mathematicae Silesianae 1 Differential Equations 1 Rocznik Naukowo-Dydaktyczny. Prace Matematyczne 1 Differentsial’nye Uravneniya i ikh Primenenie 1 Journal of Fixed Point Theory and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 SpringerBriefs in Mathematics all top 5 Fields 70 Dynamical systems and ergodic theory (37-XX) 54 Ordinary differential equations (34-XX) 38 Difference and functional equations (39-XX) 22 Partial differential equations (35-XX) 18 General and overarching topics; collections (00-XX) 18 General topology (54-XX) 13 History and biography (01-XX) 6 Real functions (26-XX) 6 Fluid mechanics (76-XX) 6 Information and communication theory, circuits (94-XX) 5 Numerical analysis (65-XX) 4 Optics, electromagnetic theory (78-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Special functions (33-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 76 Publications have been cited 597 times in 435 Documents Cited by ▼ Year ▼ Co-existence of cycles of a continuous mapping of the line into itself. (Die Koexistenz von Zyklen einer stetigen Abbildung der Geraden in sich.) Zbl 0122.17504 Sharkovskiĭ, A. N. 84 1964 Dynamics of one-dimensional maps. Transl. from the Russian by A. G. Sivak, P. Malyshev and D. Malyshev. Rev. and upd. transl. Rev. and upd. transl. Zbl 0881.58020 Sharkovsky, A. N.; Kolyada, S. F.; Sivak, A. G.; Fedorenko, V. V. 66 1997 Coexistence of cycles of a continuous map of the line into itself. Zbl 0890.58012 Sharkovskij, A. N. 49 1995 Oscillations in singularly perturbed delay equations. Zbl 0755.34065 Ivanov, A. F.; Sharkovsky, A. N. 37 1992 Difference equations and their applications. (Разностные уравнения и их приложения.) Zbl 0669.39001 Sharkovskiĭ, A. N.; Maĭstrenko, Yu. L.; Romanenko, E. Yu. 28 1986 Characterizations of weakly chaotic maps of the interval. Zbl 0728.26008 Fedorenko, V. V.; Sharkovskij, A. N.; Smítal, J. 27 1990 Dynamics of one-dimensional mappings. (Dinamika odnomernykh otobrazhenij.) Zbl 0759.58001 Sharkovskij, A. N.; Kolyada, S. F.; Sivak, A. G.; Fedorenko, V. V. 19 1989 Difference equations and their applications. Transl. from the Russian by D. V. Malyshev, P. V. Malyshev and Y. M. Pestryakov. Zbl 0806.39001 Sharkovskij, A. N.; Majstrenko, Yu. L.; Romanenko, E. Yu. 16 1993 Non-wandering points and the centre of a continuous mapping of the line into itself. Zbl 0173.25601 Sharkovskij, A. N. 15 1964 From boundary value problems to difference equations: A method of investigation of chaotic vibrations. Zbl 0964.35165 Romanenko, E. Yu.; Sharkovsky, A. N. 14 1999 On topological dynamics of triangular maps of the plane. Zbl 0985.54512 Kolyada, S. F.; Sharkovsky, A. N. 14 1991 Über die Zyklen und die Struktur einer stetigen Abbildung. Zbl 0168.20806 Sharkovskij, A. N. 14 1965 Ideal turbulence: Attractors of deterministic systems may lie in the space of random fields. Zbl 0899.76238 Sharkovsky, A. N.; Romanenko, E. Yu. 14 1992 The partially ordered system of attracting sets. Zbl 0167.51502 Sharkovskij, A. N. 12 1966 Chaos in some 1-D discontinuous maps that appear in the analysis of electrical circuits. Zbl 0844.58062 Sharkovsky, A. N.; Chua, L. O. 11 1993 Ideal turbulence in an idealized time-delayed Chua’s circuit. Zbl 0808.94029 Sharkovsky, A. N. 10 1994 Difference equations and boundary value problems. Zbl 1065.39040 Sharkovsky, A. N. 9 2004 Attracting and attracted sets. Zbl 0174.54402 Sharkovskij, A. N. 8 1965 Ideal turbulence. Zbl 1101.78327 Sharkovsky, A. N. 8 2006 Chaos from a time-delayed Chua’s circuit. Zbl 0845.34057 Sharkovsky, A. N. 7 1993 Topological invariants in a model of a time-delayed Chua’s circuit. Zbl 1101.37318 Severino, R.; Sharkovsky, A.; Sousa Ramos, J.; Vinagre, S. 7 2006 From one-dimensional to infinite-dimensional dynamical systems: Ideal turbulence. Zbl 0936.37021 Romanenko, E. Yu.; Sharkovsky, A. N. 6 1996 Universal phenomena in some infinite-dimensional dynamical systems. Zbl 0886.58099 Sharkovsky, A. N. 6 1995 Symbolic dynamics in boundary value problems. Zbl 1064.37012 Severino, Ricardo; Sharkovsky, Alexander; Sousa Ramos, José; Vinagre, Sandra 6 2004 Das Verhalten einer Abbildung in der Umgebung einer anziehenden Menge. Zbl 0174.54401 Sharkovskij, A. N. 6 1966 Difference equations and dynamical systems generated by certain classes of boundary value problems. Zbl 1075.37032 Sharkovskiĭ, A. N.; Romanenko, E. Yu. 6 2004 Functional differential equations with a finite group of argument transformations. Zbl 0413.34071 Sharkovskij, A. N. 6 1978 Universal phenomena in solution bifurcations of some boundary value problems. Zbl 0955.37501 Sharkovsky, Alexander; Sivak, Andrij 5 1994 Dry turbulence and period-adding phenomena from a 1-D map with time delay. Zbl 0886.58108 Sharkovsky, A. N.; Deregel, Ph.; Chua, L. O. 5 1995 Basins of attractors of trajectories. Zbl 1355.37046 Sharkovsky, A. N.; Sivak, A. G. 5 2016 Notwendige und hinreichende Bedingungen für die Konvergenz eindimensionaler Iterationsprozesse. Zbl 0118.32503 Sharkovskij, A. N. 4 1960 Die stetige Abbildung auf der Menge der Grenzpunkte einer Iterationsfolge. Zbl 0174.54403 Sharkovskij, A. N. 4 1966 Dynamical systems and simulation of turbulence. Zbl 1152.37032 Romanenko, E. Yu.; Sharkovskii, A. N. 4 2007 Trajectories of intervals in one-dimensional dynamical systems. Zbl 1127.37035 Fedorenko, V. V.; Romanenko, E. Yu.; Sharkovsky, A. N. 4 2007 Solution behaviour in a class of difference-differential equations. Zbl 0919.34063 Fedorenko, A. D.; Fedorenko, V. V.; Ivanov, A. F.; Sharkovsky, A. N. 3 1998 Long-time properties of solutions of simplest nonlinear \(q\)-difference equations. Zbl 0984.39012 Derfel, G.; Romanenko, E.; Sharkovsky, A. 3 2000 Iteration of continuous functions and dynamics of solutions for some boundary value problems. Zbl 0960.37014 Sharkovsky, Alexander N. 3 1999 Self-structuring and self-stochasticity in difference equations and some boundary value problems. Zbl 0991.39006 Sharkovsky, A. N.; Romanenko, E. Yu.; Vereikina, M. B. 3 1999 A classification of fixed points. Zbl 0217.48403 Sharkovskij, A. N. 3 1971 Phase transitions in correct-incorrect calculations for some evolution problems. Zbl 1056.37097 Sharkovsky, A. N.; Berezovsky, S. A. 3 2003 Symbolic dynamics in boundary value problem for systems with two spatial variables. Zbl 1132.35056 Severino, Ricardo; Sharkovsky, Alexander; Sousa Ramos, José; Vinagre, Sandra 2 2006 Homoclinic trajectories in one-dimensional dynamics. Zbl 1268.37055 Fedorenko, V. V.; Sharkovsky, A. N. 2 2012 Self-structuring and self-similarity in boundary value problems. Zbl 0886.58103 Romanenko, E. Yu.; Sharkovsky, A. N.; Vereikina, M. B. 2 1995 Computer turbulence. Zbl 0991.65078 Sharkovsky, A. N.; Berezovsky, S. A. 2 1999 Über eine Klassifikation der Fixpunkte. Zbl 0174.54303 Sharkovskij, A. N. 2 1965 Anziehende Mengen, die keine Zyklen enthalten. Zbl 0174.54404 Sharkovskij, A. N. 2 1968 Darstellung der Lösungen linearer Differenzen-Differentialgleichungen neutralen Typs. Zbl 0277.34072 Polishchuk, V. M.; Sharkovskij, A. N. 2 1973 On periodic solutions of some classes of differential-difference equations. Zbl 0519.34050 Ivanov, A. F.; Sharkovskij, A. N. 1 1982 On some properties of discrete dynamical systems. Zbl 0523.58037 Sharkovskij, A. N. 1 1982 \(C^{\infty}\)-mappings of an interval with attracting cycles of arbitrarily large periods. Zbl 0539.58026 Sharkovskij, A. N.; Ivanov, A. F. 1 1983 Difference equations with continuous time: theory and applications. Zbl 1217.39005 Romanenko, E. Yu.; Sharkovsky, A. N. 1 2010 Dynamics of solutions of the simplest nonlinear boundary value problems. Zbl 0935.37012 Romanenko, O. Yu.; Sharkovs’kyj, O. M. 1 1999 Asymptotic discontinuity of smooth solutions of nonlinear \(q\)-difference equations. Zbl 0974.39010 Derfel’, G. A.; Romanenko, E. Yu.; Sharkovskij, A. N. 1 2000 Dido’s functional equation revisited. Zbl 1160.39316 Kahlig, Peter; Matkowski, Janusz; Sharkovsky, Aleksander N. 1 2000 One-dimensional dynamics generated by boundary value problems for the wave equation. Zbl 1057.37038 Lozi, René; Sousa Ramos, José; Sharkovsky, Alexander 1 2004 Ideal turbulence: Definition. Zbl 1053.37069 Sharkovsky, Alexander 1 2004 Über einen Satz von G.D. Birkhoff. Zbl 0152.21702 Sharkovskij, O. M. 1 1967 Behavior of a mapping in the neighborhood of an attracting set. Zbl 0217.48402 Sharkovskij, A. N. 1 1971 On the problem of isomorphism of dynamical systems. Zbl 0233.34055 Sharkovskiĭ, A. N. 1 1970 Über das Problem der Eindeutigkeit der Lösungen von Differentialgleichungen mit abweichendem Argument. Zbl 0281.34063 Sharkovskiĭ, A. N. 1 1970 Eine Charakterisation des Cosinus. Zbl 0282.39010 Sharkovskij, A. N. 1 1973 Über die Stabilität der Lösungen von Differentialgleichungen mit retardiertem Argument. Zbl 0297.34068 Khusainov, D. Ya.; Sharkovskij, A. N. 1 1974 Typicalness of dynamical systems almost all paths of which are stable under permanently acting perturbations. Zbl 0306.58012 Dobrynskij, V. A.; Sharkovskij, A. N. 1 1973 On the partially ordered system of \(\omega\)-limit sets of expansive endomorphisms. Zbl 0324.58011 Sharkovskij, A. N.; Bondarchuk, V. S. 1 1973 Dynamical systems generated by boundary value problems. Ideal turbulence. Computer turbulence. Zbl 1100.37053 Sharkovs’kyj, A. N. 1 2003 One-dimensional bifurcations in some infinite-dimensional dynamical systems and ideal turbulence. Zbl 1164.37328 Sharkovsky, A. N.; Romanenko, E. Yu.; Fedorenko, V. V. 1 2006 How complicated can be one dimensional dynamical systems: Descriptive estimates of sets. Zbl 0697.04002 Sharkovskij, A. N. 1 1989 Differential equations with deviating argument. Proceedings of the fourth all-union conference on the theory and application of differential equations with deviating argument held in Kiev, September 23–26, 1975. (Дифференциальные уравнения с отклоняющимся аргументом.) Zbl 0391.00005 1 1977 Asymptotic behaviour of the solutions of functional-differential equations. Collection of scientific works. (Асимптотицеское поведение ресении дифференциально-функциональных уравнении. Сборник науцных трудов.) Zbl 0397.00009 1 1978 On oscillation and asymptotic behaviour of solutions of a class of differential equations with deviating argument. Zbl 0409.34069 Sharkovskij, A. N.; Shevelo, V. N. 1 1977 Asymptotics of solutions of linear functional-differential equations. Zbl 0413.34078 Romanenko, E. Yu.; Sharkovskij, A. N. 1 1978 Continuous mappings of an interval with a closed set of periodic points. Zbl 0465.54029 Fedorenko, V. V.; Sharkovskij, A. N. 1 1980 On the history of one-dimensional dynamics. Zbl 1360.37001 Sharkovsky, A. N. 1 2014 The method of invariants in the theory of functional equations. (Метод инвариантов в теории функциональных уравнений.) Zbl 1324.39001 Pelyukh, G. P.; Sharkovskiĭ, A. N. 1 2013 Anatolii Mykhailovych Samoilenko (on his 75th birthday). Zbl 1275.01007 Berezans’kyi, Yu. M.; Boichuk, O. A.; Horbachuk, M. L.; Drozd, Yu. A.; Korolyuk, V. S.; Lukovs’kyi, I. O.; Makarov, V. L.; Nikitin, A. H.; Perestyuk, M. O.; Portenko, M. I.; Samoilenko, Yu. S.; Trokhymchuk, Yu. Yu.; Sharko, V. V.; Sharkovs’kyi, O. M. 1 2013 Whether chaos can be achieved in piecewise linear boundary value problems. Zbl 1207.37021 Romanenko, E. Yu.; Sharkovsky, A. N. 1 2010 Basins of attractors of trajectories. Zbl 1355.37046 Sharkovsky, A. N.; Sivak, A. G. 5 2016 On the history of one-dimensional dynamics. Zbl 1360.37001 Sharkovsky, A. N. 1 2014 The method of invariants in the theory of functional equations. (Метод инвариантов в теории функциональных уравнений.) Zbl 1324.39001 Pelyukh, G. P.; Sharkovskiĭ, A. N. 1 2013 Anatolii Mykhailovych Samoilenko (on his 75th birthday). Zbl 1275.01007 Berezans’kyi, Yu. M.; Boichuk, O. A.; Horbachuk, M. L.; Drozd, Yu. A.; Korolyuk, V. S.; Lukovs’kyi, I. O.; Makarov, V. L.; Nikitin, A. H.; Perestyuk, M. O.; Portenko, M. I.; Samoilenko, Yu. S.; Trokhymchuk, Yu. Yu.; Sharko, V. V.; Sharkovs’kyi, O. M. 1 2013 Homoclinic trajectories in one-dimensional dynamics. Zbl 1268.37055 Fedorenko, V. V.; Sharkovsky, A. N. 2 2012 Difference equations with continuous time: theory and applications. Zbl 1217.39005 Romanenko, E. Yu.; Sharkovsky, A. N. 1 2010 Whether chaos can be achieved in piecewise linear boundary value problems. Zbl 1207.37021 Romanenko, E. Yu.; Sharkovsky, A. N. 1 2010 Dynamical systems and simulation of turbulence. Zbl 1152.37032 Romanenko, E. Yu.; Sharkovskii, A. N. 4 2007 Trajectories of intervals in one-dimensional dynamical systems. Zbl 1127.37035 Fedorenko, V. V.; Romanenko, E. Yu.; Sharkovsky, A. N. 4 2007 Ideal turbulence. Zbl 1101.78327 Sharkovsky, A. N. 8 2006 Topological invariants in a model of a time-delayed Chua’s circuit. Zbl 1101.37318 Severino, R.; Sharkovsky, A.; Sousa Ramos, J.; Vinagre, S. 7 2006 Symbolic dynamics in boundary value problem for systems with two spatial variables. Zbl 1132.35056 Severino, Ricardo; Sharkovsky, Alexander; Sousa Ramos, José; Vinagre, Sandra 2 2006 One-dimensional bifurcations in some infinite-dimensional dynamical systems and ideal turbulence. Zbl 1164.37328 Sharkovsky, A. N.; Romanenko, E. Yu.; Fedorenko, V. V. 1 2006 Difference equations and boundary value problems. Zbl 1065.39040 Sharkovsky, A. N. 9 2004 Symbolic dynamics in boundary value problems. Zbl 1064.37012 Severino, Ricardo; Sharkovsky, Alexander; Sousa Ramos, José; Vinagre, Sandra 6 2004 Difference equations and dynamical systems generated by certain classes of boundary value problems. Zbl 1075.37032 Sharkovskiĭ, A. N.; Romanenko, E. Yu. 6 2004 One-dimensional dynamics generated by boundary value problems for the wave equation. Zbl 1057.37038 Lozi, René; Sousa Ramos, José; Sharkovsky, Alexander 1 2004 Ideal turbulence: Definition. Zbl 1053.37069 Sharkovsky, Alexander 1 2004 Phase transitions in correct-incorrect calculations for some evolution problems. Zbl 1056.37097 Sharkovsky, A. N.; Berezovsky, S. A. 3 2003 Dynamical systems generated by boundary value problems. Ideal turbulence. Computer turbulence. Zbl 1100.37053 Sharkovs’kyj, A. N. 1 2003 Long-time properties of solutions of simplest nonlinear \(q\)-difference equations. Zbl 0984.39012 Derfel, G.; Romanenko, E.; Sharkovsky, A. 3 2000 Asymptotic discontinuity of smooth solutions of nonlinear \(q\)-difference equations. Zbl 0974.39010 Derfel’, G. A.; Romanenko, E. Yu.; Sharkovskij, A. N. 1 2000 Dido’s functional equation revisited. Zbl 1160.39316 Kahlig, Peter; Matkowski, Janusz; Sharkovsky, Aleksander N. 1 2000 From boundary value problems to difference equations: A method of investigation of chaotic vibrations. Zbl 0964.35165 Romanenko, E. Yu.; Sharkovsky, A. N. 14 1999 Iteration of continuous functions and dynamics of solutions for some boundary value problems. Zbl 0960.37014 Sharkovsky, Alexander N. 3 1999 Self-structuring and self-stochasticity in difference equations and some boundary value problems. Zbl 0991.39006 Sharkovsky, A. N.; Romanenko, E. Yu.; Vereikina, M. B. 3 1999 Computer turbulence. Zbl 0991.65078 Sharkovsky, A. N.; Berezovsky, S. A. 2 1999 Dynamics of solutions of the simplest nonlinear boundary value problems. Zbl 0935.37012 Romanenko, O. Yu.; Sharkovs’kyj, O. M. 1 1999 Solution behaviour in a class of difference-differential equations. Zbl 0919.34063 Fedorenko, A. D.; Fedorenko, V. V.; Ivanov, A. F.; Sharkovsky, A. N. 3 1998 Dynamics of one-dimensional maps. Transl. from the Russian by A. G. Sivak, P. Malyshev and D. Malyshev. Rev. and upd. transl. Rev. and upd. transl. Zbl 0881.58020 Sharkovsky, A. N.; Kolyada, S. F.; Sivak, A. G.; Fedorenko, V. V. 66 1997 From one-dimensional to infinite-dimensional dynamical systems: Ideal turbulence. Zbl 0936.37021 Romanenko, E. Yu.; Sharkovsky, A. N. 6 1996 Coexistence of cycles of a continuous map of the line into itself. Zbl 0890.58012 Sharkovskij, A. N. 49 1995 Universal phenomena in some infinite-dimensional dynamical systems. Zbl 0886.58099 Sharkovsky, A. N. 6 1995 Dry turbulence and period-adding phenomena from a 1-D map with time delay. Zbl 0886.58108 Sharkovsky, A. N.; Deregel, Ph.; Chua, L. O. 5 1995 Self-structuring and self-similarity in boundary value problems. Zbl 0886.58103 Romanenko, E. Yu.; Sharkovsky, A. N.; Vereikina, M. B. 2 1995 Ideal turbulence in an idealized time-delayed Chua’s circuit. Zbl 0808.94029 Sharkovsky, A. N. 10 1994 Universal phenomena in solution bifurcations of some boundary value problems. Zbl 0955.37501 Sharkovsky, Alexander; Sivak, Andrij 5 1994 Difference equations and their applications. Transl. from the Russian by D. V. Malyshev, P. V. Malyshev and Y. M. Pestryakov. Zbl 0806.39001 Sharkovskij, A. N.; Majstrenko, Yu. L.; Romanenko, E. Yu. 16 1993 Chaos in some 1-D discontinuous maps that appear in the analysis of electrical circuits. Zbl 0844.58062 Sharkovsky, A. N.; Chua, L. O. 11 1993 Chaos from a time-delayed Chua’s circuit. Zbl 0845.34057 Sharkovsky, A. N. 7 1993 Oscillations in singularly perturbed delay equations. Zbl 0755.34065 Ivanov, A. F.; Sharkovsky, A. N. 37 1992 Ideal turbulence: Attractors of deterministic systems may lie in the space of random fields. Zbl 0899.76238 Sharkovsky, A. N.; Romanenko, E. Yu. 14 1992 On topological dynamics of triangular maps of the plane. Zbl 0985.54512 Kolyada, S. F.; Sharkovsky, A. N. 14 1991 Characterizations of weakly chaotic maps of the interval. Zbl 0728.26008 Fedorenko, V. V.; Sharkovskij, A. N.; Smítal, J. 27 1990 Dynamics of one-dimensional mappings. (Dinamika odnomernykh otobrazhenij.) Zbl 0759.58001 Sharkovskij, A. N.; Kolyada, S. F.; Sivak, A. G.; Fedorenko, V. V. 19 1989 How complicated can be one dimensional dynamical systems: Descriptive estimates of sets. Zbl 0697.04002 Sharkovskij, A. N. 1 1989 Difference equations and their applications. (Разностные уравнения и их приложения.) Zbl 0669.39001 Sharkovskiĭ, A. N.; Maĭstrenko, Yu. L.; Romanenko, E. Yu. 28 1986 \(C^{\infty}\)-mappings of an interval with attracting cycles of arbitrarily large periods. Zbl 0539.58026 Sharkovskij, A. N.; Ivanov, A. F. 1 1983 On periodic solutions of some classes of differential-difference equations. Zbl 0519.34050 Ivanov, A. F.; Sharkovskij, A. N. 1 1982 On some properties of discrete dynamical systems. Zbl 0523.58037 Sharkovskij, A. N. 1 1982 Continuous mappings of an interval with a closed set of periodic points. Zbl 0465.54029 Fedorenko, V. V.; Sharkovskij, A. N. 1 1980 Functional differential equations with a finite group of argument transformations. Zbl 0413.34071 Sharkovskij, A. N. 6 1978 Asymptotic behaviour of the solutions of functional-differential equations. Collection of scientific works. (Асимптотицеское поведение ресении дифференциально-функциональных уравнении. Сборник науцных трудов.) Zbl 0397.00009 1 1978 Asymptotics of solutions of linear functional-differential equations. Zbl 0413.34078 Romanenko, E. Yu.; Sharkovskij, A. N. 1 1978 Differential equations with deviating argument. Proceedings of the fourth all-union conference on the theory and application of differential equations with deviating argument held in Kiev, September 23–26, 1975. (Дифференциальные уравнения с отклоняющимся аргументом.) Zbl 0391.00005 1 1977 On oscillation and asymptotic behaviour of solutions of a class of differential equations with deviating argument. Zbl 0409.34069 Sharkovskij, A. N.; Shevelo, V. N. 1 1977 Über die Stabilität der Lösungen von Differentialgleichungen mit retardiertem Argument. Zbl 0297.34068 Khusainov, D. Ya.; Sharkovskij, A. N. 1 1974 Darstellung der Lösungen linearer Differenzen-Differentialgleichungen neutralen Typs. Zbl 0277.34072 Polishchuk, V. M.; Sharkovskij, A. N. 2 1973 Eine Charakterisation des Cosinus. Zbl 0282.39010 Sharkovskij, A. N. 1 1973 Typicalness of dynamical systems almost all paths of which are stable under permanently acting perturbations. Zbl 0306.58012 Dobrynskij, V. A.; Sharkovskij, A. N. 1 1973 On the partially ordered system of \(\omega\)-limit sets of expansive endomorphisms. Zbl 0324.58011 Sharkovskij, A. N.; Bondarchuk, V. S. 1 1973 A classification of fixed points. Zbl 0217.48403 Sharkovskij, A. N. 3 1971 Behavior of a mapping in the neighborhood of an attracting set. Zbl 0217.48402 Sharkovskij, A. N. 1 1971 On the problem of isomorphism of dynamical systems. Zbl 0233.34055 Sharkovskiĭ, A. N. 1 1970 Über das Problem der Eindeutigkeit der Lösungen von Differentialgleichungen mit abweichendem Argument. Zbl 0281.34063 Sharkovskiĭ, A. N. 1 1970 Anziehende Mengen, die keine Zyklen enthalten. Zbl 0174.54404 Sharkovskij, A. N. 2 1968 Über einen Satz von G.D. Birkhoff. Zbl 0152.21702 Sharkovskij, O. M. 1 1967 The partially ordered system of attracting sets. Zbl 0167.51502 Sharkovskij, A. N. 12 1966 Das Verhalten einer Abbildung in der Umgebung einer anziehenden Menge. Zbl 0174.54401 Sharkovskij, A. N. 6 1966 Die stetige Abbildung auf der Menge der Grenzpunkte einer Iterationsfolge. Zbl 0174.54403 Sharkovskij, A. N. 4 1966 Über die Zyklen und die Struktur einer stetigen Abbildung. Zbl 0168.20806 Sharkovskij, A. N. 14 1965 Attracting and attracted sets. Zbl 0174.54402 Sharkovskij, A. N. 8 1965 Über eine Klassifikation der Fixpunkte. Zbl 0174.54303 Sharkovskij, A. N. 2 1965 Co-existence of cycles of a continuous mapping of the line into itself. (Die Koexistenz von Zyklen einer stetigen Abbildung der Geraden in sich.) Zbl 0122.17504 Sharkovskiĭ, A. N. 84 1964 Non-wandering points and the centre of a continuous mapping of the line into itself. Zbl 0173.25601 Sharkovskij, A. N. 15 1964 Notwendige und hinreichende Bedingungen für die Konvergenz eindimensionaler Iterationsprozesse. Zbl 0118.32503 Sharkovskij, A. N. 4 1960 all cited Publications top 5 cited Publications all top 5 Cited by 544 Authors 14 Sharkovs’kyĭ, Oleksandr Mykolaĭovych 13 Ivanov, Anatoli F. 13 Romanenko, Elena Yurievna 13 Smítal, Jaroslav 12 Cánovas, Jose S. 11 Andres, Jan 9 Liz, Eduardo 7 Alsedà, Lluís 7 Blokh, Alexander M. 7 Correia Ramos, Carlos 7 Jiménez López, Víctor 7 Snoha, Ľubomír 6 Efremova, Lyudmila S. 6 Gardini, Laura 6 Linero Bas, Antonio 6 Oprocha, Piotr 6 Ruiz-Herrera, Alfonso 6 Steele, Timothy H. 6 Sun, Taixiang 6 Vinagre, Sandra M. 5 Balibrea, Francisco 5 García Guirao, Juan Luis 5 Málek, Michal 5 Misiurewicz, Michał 5 Paganoni, Luigi 5 Sousa Ramos, José 5 Trofimchuk, Sergei I. 4 Fedorenko, Volodymyr V. 4 Fil’chenkov, Andreĭ Sergeevich 4 Huang, Chuangxia 4 Kupka, Jiří 4 Mai, Jiehua 4 Mira, Christian 4 Wu, Xinxing 4 Zou, Xingfu 3 Agarwal, Ravi P. 3 Ali Akbar, Kamaludheen 3 Avrutin, Viktor 3 Banerjee, Soumitro 3 Barbarski, Paweł 3 Buedo-Fernández, Sebastián 3 Chen, Guanrong 3 de Fátima Correia, Maria 3 El-Morshedy, Hassan A. 3 Elaydi, Saber Nasr 3 Forti, Gian Luigi 3 Fournier-Prunaret, Danièle 3 Garcia-Rubio, Raquel 3 Gopalsamy, Kondalsamy 3 Kashchenko, Sergeĭ Aleksandrovich 3 Khan, Mohammed Ali 3 Kočan, Zdeněk 3 Krasnyuk, Igor B. 3 Lampart, Marek 3 Luís, Rafael 3 Mañosas, Francesc 3 Martins, Nuno 3 Munoz Guillermo, Maria 3 Pelyukh, Grygor P. 3 Perevaryukha, Andreĭ Yur’evich 3 Rocha, J. Leonel 3 Röst, Gergely 3 Samoĭlenko, Yuriĭ Stefanovych 3 Slyusarchuk, Vasyl Yukhimovich 3 Štefánková, Marta 3 Zgliczyński, Piotr 2 Akbergenov, A. A. 2 Alsharawi, Ziyad 2 Bel’skiĭ, Denis V. 2 Belykh, Vladimir Nikitich 2 Bischi, Gian-Italo 2 Braverman, Elena 2 Chen, Goong 2 Chen, Tzong-Rong 2 Chudziak, Jacek 2 Dehghan Takht Fooladi, Mehdi 2 Deng, Liuchun 2 Dmitrishin, Dmitry 2 Downarowicz, Tomasz 2 Du, Bau-Sen 2 Egorova, Anastasia Vladimirovna 2 Elhadj, Zeraoulia 2 Fu, Xinchu 2 Fürst, Tomáš 2 Gierzkiewicz, Anna 2 Guaschi, John 2 Hsu, Szebi 2 Hui, Yuanxian 2 Ishikawa, Yuki 2 Ivanov, Oleg A. 2 Jeffrey, Mike R. 2 Joundy, Youssef 2 Kashchenko, Il’ya Sergeevich 2 Kloeden, Peter Eris 2 Kolyada, Sergiǐ Fedorovych 2 Kornecká-Kurková, Veronika 2 Kurková, Veronika 2 Li, Jian 2 Li, Risong 2 Lu, Tianxiu ...and 444 more Authors all top 5 Cited in 147 Serials 23 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 21 Topology and its Applications 20 Chaos, Solitons and Fractals 19 Journal of Difference Equations and Applications 18 Journal of Mathematical Analysis and Applications 14 Journal of Mathematical Sciences (New York) 13 Ukrainian Mathematical Journal 13 Proceedings of the American Mathematical Society 13 Nonlinear Dynamics 10 Journal of Differential Equations 10 Communications in Nonlinear Science and Numerical Simulation 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Computers & Mathematics with Applications 6 Transactions of the American Mathematical Society 6 Discrete and Continuous Dynamical Systems 5 Mathematical Notes 5 Ergodic Theory and Dynamical Systems 5 Aequationes Mathematicae 5 Discrete Dynamics in Nature and Society 5 Qualitative Theory of Dynamical Systems 5 Differential Equations 4 Bulletin of the Australian Mathematical Society 4 Journal of Mathematical Biology 4 Applied Mathematics and Computation 4 Journal of Dynamics and Differential Equations 4 Lobachevskii Journal of Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications 3 Nonlinearity 3 Ukraïns’kyĭ Matematychnyĭ Zhurnal 3 Annales de l’Institut Fourier 3 Real Analysis Exchange 3 Physica D 3 Applied Mathematics Letters 3 Discrete and Continuous Dynamical Systems. Series B 3 Nonlinear Oscillations 3 Applied General Topology 3 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 2 Journal of Applied Mathematics and Mechanics 2 Journal of the Franklin Institute 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Physics Letters. A 2 Reports on Mathematical Physics 2 Bulletin of Mathematical Biology 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Computational and Applied Mathematics 2 Journal of Economic Theory 2 Circuits, Systems, and Signal Processing 2 Vestnik St. Petersburg University. Mathematics 2 Cybernetics and Systems Analysis 2 Russian Mathematics 2 Journal of Mathematical Chemistry 2 Abstract and Applied Analysis 2 Chaos 2 Nonlinear Analysis. Real World Applications 2 Dynamical Systems 2 Stochastics and Dynamics 2 Advances in Difference Equations 2 Proceedings of the Steklov Institute of Mathematics 2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 2 Science China. Mathematics 2 Applied Mathematics and Nonlinear Sciences 2 Journal of Siberian Federal University. Mathematics & Physics 2 AIMS Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Theoretical and Mathematical Physics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 The Mathematical Intelligencer 1 Bulletin of the London Mathematical Society 1 Fuzzy Sets and Systems 1 Information Sciences 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series B 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Mathematica Slovaca 1 Meccanica 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Operations Research 1 RAIRO. Analyse Numérique 1 Semigroup Forum 1 Theoretical Computer Science 1 Tôhoku Mathematical Journal. Second Series 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Systems & Control Letters 1 Statistics & Probability Letters 1 Annals of Pure and Applied Logic 1 Science in China. Series A 1 Journal of Global Optimization 1 Computational Mathematics and Mathematical Physics 1 Automation and Remote Control 1 International Journal of Computer Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Chinese Science Bulletin ...and 47 more Serials all top 5 Cited in 44 Fields 289 Dynamical systems and ergodic theory (37-XX) 80 Ordinary differential equations (34-XX) 78 Difference and functional equations (39-XX) 66 General topology (54-XX) 47 Biology and other natural sciences (92-XX) 32 Real functions (26-XX) 28 Partial differential equations (35-XX) 27 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Operator theory (47-XX) 21 Systems theory; control (93-XX) 11 Numerical analysis (65-XX) 9 Mechanics of particles and systems (70-XX) 9 Information and communication theory, circuits (94-XX) 8 Measure and integration (28-XX) 7 Computer science (68-XX) 6 Probability theory and stochastic processes (60-XX) 5 History and biography (01-XX) 5 Combinatorics (05-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Fluid mechanics (76-XX) 4 Mathematical logic and foundations (03-XX) 4 Number theory (11-XX) 4 Functional analysis (46-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of deformable solids (74-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Group theory and generalizations (20-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Algebraic topology (55-XX) 2 Quantum theory (81-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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