Edit Profile (opens in new tab) Lyapunov, Aleksandr Mikhaĭlovich Compute Distance To: Compute Author ID: lyapunov.aleksandr-mikhailovich Published as: Liapounoff, A.; Lyapunov, A. M.; Liapunov, A.; Liapunoff, A.; Liapunow, A. M.; Ljapunoff, A.; Liapunow, A.; Liapounoff, Alexander; Liapunoff, A. M.; Liapunov, A. M.; Lĭapunov, A. N.; Liapounov, A. more...less Further Spellings: Ляпунов Александр Михайлович External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 63 Publications since 1884, including 20 Books 3 Contributions as Editor · 1 Further Contribution Biographic References: 30 Publications Co-Authors: 13 Co-Authors with 7 Joint Publications 234 Co-Co-Authors all top 5 Co-Authors 58 single-authored 3 Bernshteĭn, Sergeĭ Natanovich 3 Markov, Andreĭ Andreevich 3 Sheynin, Oscar B. 2 Euler, Leonhard 2 Gnedenko, Boris Vladimirovich 2 Steklov, Vladimir Andreevich 1 Barrett, John F. 1 Chuprov, Aleksandr Aleksandrovich 1 Faber, Georg 1 Gutzmer, August 1 Khinchin, Aleksandr Yakovlevich 1 Kolmogorov, Andreĭ Nikolaevich 1 Korkin, Aleksandr Nikolaevich 1 Krazer, Adolf 1 Krylov, Alekseĭ Nikolaevich 1 Nekrassov, Pavel Alekseevich 1 Ondar, Kh. O. 1 Paevskiĭ, V. V. 1 Posse, Konstantin Aleksandrovich 1 Sarymsakov, Tashmukhamed Alievich 1 Smirnov, Nikolaĭ Vasil’evich 1 Smirnov, Vladimir Ivanovich 1 Sretenskij, Leonid Nikolaevič all top 5 Serials 8 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 8 Bulletin de l’Académie des Sciences de l’Union des Républiques Soviétiques Socialistes. 6. Série 2 Annales de la Faculté des Sciences de l’Université de Toulouse pour les Sciences Mathématiques et les Sciences Physiques. 2ième Série 2 Journal de Mathématiques Pures et Appliquées. 5. Série 2 Leonhardi Euleri Opera Omnia. Series Prima: Opera Mathematica 1 Istoriko-Matematicheskie Issledovaniya 1 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série 1 Annales Scientifiques de l’École Normale Supérieure. Troisième Série 1 Bulletin de l’Académie des Sciences de l’URSS. VII. Série 1 Annals of Mathematics Studies 1 Mathematics in Science and Engineering 1 Bulletin de l’Académie Impériale des Sciences de St.-Pétersbourg. 5. Série all top 5 Fields 18 History and biography (01-XX) 17 Mechanics of particles and systems (70-XX) 15 Fluid mechanics (76-XX) 12 Ordinary differential equations (34-XX) 6 General and overarching topics; collections (00-XX) 6 Probability theory and stochastic processes (60-XX) 5 Potential theory (31-XX) 4 Optics, electromagnetic theory (78-XX) 2 Mechanics of deformable solids (74-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 851 times in 829 Documents Cited by ▼ Year ▼ The general problem of the stability of motion. (Общая задача об устойчивости движения.) Zbl 0041.32204Lyapunov, A. M. 243 1950 The general problem of the stability of motion. With a biography of Lyapunov by V. I. Smirnov and a bibliography of Lyapunov’s works by J. F. Barrett. Transl. and ed. by A.T. Fuller. Zbl 0786.70001Lyapunov, A. M. 232 1992 Problème général de la stabilité du mouvement. Traduit du russe par M. Edouard Davaux. JFM 38.0738.07Liapounoff, A. 136 1907 Stability of motion. Zbl 0161.06303Lyapunov, A. M. 112 1966 Collected works. Vol. II. (Собрание сочинений. Том II) (Gesammelte Werke. Band II.) Zbl 0192.31202Lyapunov, A. M. 26 1956 Problème général de la stabilité du mouvement. Transl. from the Russian by E. Davaux. Zbl 0031.18403Liapounoff, A. 21 1947 Sur certaines questions qui se rattachent au problème de Dirichlet. JFM 29.0723.02Liapounoff, A. 11 1898 A study of one of the special cases of the problem of stability of motion. (Исследоование одного из особенных случаев об устойрев чивости двитения.) Zbl 0112.31801Lyapunov, A. M. 10 1963 Sur une série relative à la théorie des équations différentielles linéaires à coefficients périodiques. JFM 27.0252.03Liapounoff, A. 9 1896 Sur une équation transcendante et les équations différentielles linéaires du second ordre à coefficients périodiques. JFM 30.0303.01Liapounoff, A. 9 1899 Lectures on theoretical mechanics. (Лекции по теоретической механике.) Zbl 0556.70002Lyapunov, A. M. 5 1982 Sur une équation différentielle linéaire du second ordre. JFM 30.0302.02Liapounoff, A. 5 1899 Sur l’instabilité de l’équilibre dans certains cas où la fonction de forces n’est pas un maximum. JFM 28.0630.01Liapounoff, A. 4 1897 Sur une proposition de la théorie des probabilités. JFM 31.0228.02Liapounoff, A. 4 1900 Collected works. Vol. IV. (Собрание сочинений. Том IV) (Gesammelte Werke. Band IV.) Zbl 0192.31204Lyapunov, A. M. 4 1959 Sur la séparabilité des ensembles analytiques. JFM 60.0040.05Liapunov, A. 3 1934 Sur un théorème du calcul des probabilités. JFM 32.0230.01Liapounoff, A. 3 1901 Collected works. Vol. III. (Собрание сочинений. Том III) (Gesammelte Werke. Band III.) Zbl 0192.31203Lyapunov, A. M. 2 1959 Collected works. Vol. V. (Собрание сочинений. Том V) (Gesammelte Werke. Band V.) Zbl 0192.31205Lyapunov, A. M. 2 1965 Sur les figures d’équilibre peu différentes des ellipsoïdes d’une masse liquide homogène douée d’un mouvement de rotation. JFM 37.0718.13Liapounoff, A. 2 1906 Sur la stabilité des figures ellipsoïdales d’équilibre d’un liquide animé d’un mouvement de rotation. Traduit du russe par M. Edouard Davaux. JFM 35.0709.03Liapunoff, A. 2 1904 Sur une série dans la théorie des équations différentielles linéaires du second ordre à coefficients périodiques. JFM 34.0371.02Liapounoff, A. 2 1903 Sur le potentiel de la double couche. JFM 28.0698.02Liapounoff, A. 1 1897 Ueber eine Frage der Theorie der linearen Differentialgleichungen zweiter Ordnung mit periodischen Coefficienten. JFM 28.0289.01Liapunow, A. M. 1 1897 Sur une série relative à la théorie d’une équation différentielle linéaire du second ordre. JFM 31.0350.01Liapounoff, A. 1 1901 Sur un problème de Tchébychef. JFM 37.0973.03Liapounoff, A. 1 1905 From Davidov to Romanovsky. More Russian papers on probability and statistics. Selected and translated by Oscar Sheynin. Microfiche edition. Zbl 0941.01034 1 1998 From Davidov to Romanovsky. More Russian papers on probability and statistics. Selected and translated by Oscar Sheynin. Microfiche edition. Zbl 0941.01034 1 1998 The general problem of the stability of motion. With a biography of Lyapunov by V. I. Smirnov and a bibliography of Lyapunov’s works by J. F. Barrett. Transl. and ed. by A.T. Fuller. Zbl 0786.70001Lyapunov, A. M. 232 1992 Lectures on theoretical mechanics. (Лекции по теоретической механике.) Zbl 0556.70002Lyapunov, A. M. 5 1982 Stability of motion. Zbl 0161.06303Lyapunov, A. M. 112 1966 Collected works. Vol. V. (Собрание сочинений. Том V) (Gesammelte Werke. Band V.) Zbl 0192.31205Lyapunov, A. M. 2 1965 A study of one of the special cases of the problem of stability of motion. (Исследоование одного из особенных случаев об устойрев чивости двитения.) Zbl 0112.31801Lyapunov, A. M. 10 1963 Collected works. Vol. IV. (Собрание сочинений. Том IV) (Gesammelte Werke. Band IV.) Zbl 0192.31204Lyapunov, A. M. 4 1959 Collected works. Vol. III. (Собрание сочинений. Том III) (Gesammelte Werke. Band III.) Zbl 0192.31203Lyapunov, A. M. 2 1959 Collected works. Vol. II. (Собрание сочинений. Том II) (Gesammelte Werke. Band II.) Zbl 0192.31202Lyapunov, A. M. 26 1956 The general problem of the stability of motion. (Общая задача об устойчивости движения.) Zbl 0041.32204Lyapunov, A. M. 243 1950 Problème général de la stabilité du mouvement. Transl. from the Russian by E. Davaux. Zbl 0031.18403Liapounoff, A. 21 1947 Sur la séparabilité des ensembles analytiques. JFM 60.0040.05Liapunov, A. 3 1934 Problème général de la stabilité du mouvement. Traduit du russe par M. Edouard Davaux. JFM 38.0738.07Liapounoff, A. 136 1907 Sur les figures d’équilibre peu différentes des ellipsoïdes d’une masse liquide homogène douée d’un mouvement de rotation. JFM 37.0718.13Liapounoff, A. 2 1906 Sur un problème de Tchébychef. JFM 37.0973.03Liapounoff, A. 1 1905 Sur la stabilité des figures ellipsoïdales d’équilibre d’un liquide animé d’un mouvement de rotation. Traduit du russe par M. Edouard Davaux. JFM 35.0709.03Liapunoff, A. 2 1904 Sur une série dans la théorie des équations différentielles linéaires du second ordre à coefficients périodiques. JFM 34.0371.02Liapounoff, A. 2 1903 Sur un théorème du calcul des probabilités. JFM 32.0230.01Liapounoff, A. 3 1901 Sur une série relative à la théorie d’une équation différentielle linéaire du second ordre. JFM 31.0350.01Liapounoff, A. 1 1901 Sur une proposition de la théorie des probabilités. JFM 31.0228.02Liapounoff, A. 4 1900 Sur une équation transcendante et les équations différentielles linéaires du second ordre à coefficients périodiques. JFM 30.0303.01Liapounoff, A. 9 1899 Sur une équation différentielle linéaire du second ordre. JFM 30.0302.02Liapounoff, A. 5 1899 Sur certaines questions qui se rattachent au problème de Dirichlet. JFM 29.0723.02Liapounoff, A. 11 1898 Sur l’instabilité de l’équilibre dans certains cas où la fonction de forces n’est pas un maximum. JFM 28.0630.01Liapounoff, A. 4 1897 Sur le potentiel de la double couche. JFM 28.0698.02Liapounoff, A. 1 1897 Ueber eine Frage der Theorie der linearen Differentialgleichungen zweiter Ordnung mit periodischen Coefficienten. JFM 28.0289.01Liapunow, A. M. 1 1897 Sur une série relative à la théorie des équations différentielles linéaires à coefficients périodiques. JFM 27.0252.03Liapounoff, A. 9 1896 all cited Publications top 5 cited Publications all top 5 Cited by 1,082 Authors 24 Martynyuk, Anatoliĭ Andriĭovych 21 Valls Anglés, Cláudia 20 Barreira, Luis Manuel 13 Liao, Shijun 13 Lykova, Olga B. 12 Llibre, Jaume 8 Czornik, Adam 8 García, Isaac A. 8 Gasull, Armengol 8 Giné, Jaume 8 Kozlov, Valeriĭ Vasil’evich 8 Tunç, Cemil 7 Algaba, Antonio 7 García, Cristóbal 6 Baris, Ya. S. 6 Kazantzis, Nikolaos K. 6 Niezabitowski, Michał 6 Raković, Saša V. 5 Gubarev, Yu. G. 5 Kalenova, Vera I. 5 Morozov, Victor M. 5 Samet, Bessem 5 Tkhaĭ, Valentin Nikolaevich 5 Zafer, Ağacık 4 Aleksandrov, Aleksandr Yur’evich 4 Alvarez, María Jesus 4 Bardin, Boris Sabirovich 4 Darve, Félix 4 Elaiw, Ahmed M. 4 Grujić, Ljubomir T. 4 Hayat, Tasawar 4 Jleli, Mohamed Boussairi 4 Kalitine, B. S. 4 Kirane, Mokhtar 4 Kravaris, Costas 4 Kurakin, Leonid Gennadievich 4 Leonov, Gennadiĭ Alekseevich 4 Medvedeva, Nataliya Borisovna 4 Millionshchikov, Vladimir Mikhaĭlovich 4 Ramírez, Rafael O. 4 Ramírez, Valentín 4 Sergeev, Igor’ Nikolaevich 4 Slyn’ko, Vitalii Ivanovich 4 Vargas-De-León, Cruz 4 Yoshinaga, Tetsuya 4 Zhuravlëv, Viktor Filippovich 3 Alshamrani, Noura H. 3 Antonovskaya, Olga Georgievna 3 Asheghan, Mohammad Mostafa 3 Baetens, Jan M. 3 De Baets, Bernard 3 Dragičević, Davor 3 Druzhinina, O. V. 3 Dumortier, Freddy 3 Dvirny, Aleksandr Ivanovich 3 Furta, Stanislav D. 3 Gatabazi, P. 3 Giacomini, Hector J. 3 Grigoryan, Gevorg Avagovich 3 Hafstein, Sigurður Freyr 3 Hoang, Manh Tuan 3 Irtegov, Valentin Dmitrievich 3 Jonnalagadda, Jagan Mohan 3 Kalitin, Boris Sergeevich 3 Kalyakin, Leonid Anatol’evich 3 Karapetyan, Aleksandr Vladilenovich 3 Khoroshun, A. S. 3 Korobeinikov, Andrei 3 Lăzureanu, Cristian 3 Lerman, Lev 3 Li, Feng 3 Liu, Yirong 3 Markeev, Anatoliĭ Pavlovich 3 Marsden, Jerrold Eldon 3 Mba, Jules Clement 3 Nakonechnyj, A. N. 3 Nawrat, Aleksander Michał 3 Pindza, Edson 3 Rumyantsev, Valentin Vital’evich 3 Salvadori, Luigi 3 Shestakov, Aleksandr Andreevich 3 Shield, Richard Thorpe 3 Slavova, Angela 3 Torebek, Berikbol Tillabayuly 3 Wiggins, Stephen 3 Xu, Hang 3 Yasinskij, V. K. 3 Yudovich, Viktor Iosifovich 3 Zhang, Fengqin 2 Abbasbandy, Saeid 2 Abdeljawad, Thabet 2 Ahmetoğlu, Abdullah 2 Aktaş, Mustafa Fahri 2 Al-Ola, Omar M. Abou 2 Alzabut, Jehad O. 2 Aminov, A. B. 2 Arahet, Mohammed A. 2 Ayhan, Timur 2 Babiarz, Artur 2 Bajić, Vladimir B. ...and 982 more Authors all top 5 Cited in 243 Serials 56 Journal of Applied Mathematics and Mechanics 36 Journal of Differential Equations 31 Journal of Mathematical Analysis and Applications 28 Ukrainian Mathematical Journal 19 Mathematical Notes 16 Soviet Applied Mechanics 16 Applied Mathematics and Computation 13 Automatica 13 Journal of Mathematical Sciences (New York) 12 Cybernetics and Systems Analysis 12 International Applied Mechanics 12 Nonlinear Dynamics 11 Prikladnaya Matematika i Mekhanika 11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10 Mathematical Problems in Engineering 10 Communications in Nonlinear Science and Numerical Simulation 10 Differential Equations 9 Chaos, Solitons and Fractals 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 International Journal of Control 8 Journal of the Franklin Institute 8 Vestnik St. Petersburg University. Mathematics 8 Abstract and Applied Analysis 8 Journal of Inequalities and Applications 8 Chaos 7 Physics Letters. A 7 Proceedings of the American Mathematical Society 7 Systems & Control Letters 7 Physica D 7 Automation and Remote Control 7 Nonlinear Analysis. Real World Applications 7 Discrete and Continuous Dynamical Systems. Series B 6 Doklady Mathematics 6 Qualitative Theory of Dynamical Systems 6 Proceedings of the Steklov Institute of Mathematics 6 Nonlinear Oscillations 6 Nonlinear Analysis. Theory, Methods & Applications 5 Acta Mechanica 5 Journal of Soviet Mathematics 5 Siberian Mathematical Journal 5 Transactions of the American Mathematical Society 5 Linear Algebra and its Applications 5 Russian Mathematics 5 Discrete Dynamics in Nature and Society 5 Regular and Chaotic Dynamics 4 Fluid Dynamics 4 International Journal for Numerical and Analytical Methods in Geomechanics 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal of Computational and Applied Mathematics 4 Celestial Mechanics and Dynamical Astronomy 4 Journal of Dynamics and Differential Equations 4 Doklady Physics 4 Journal of Applied Mathematics 4 Advances in Difference Equations 3 Computer Methods in Applied Mechanics and Engineering 3 International Journal of Systems Science 3 Physics Letters. B 3 Theoretical and Mathematical Physics 3 Acta Mathematica 3 Journal of Functional Analysis 3 Mathematische Nachrichten 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 SIAM Journal on Control and Optimization 3 Applied Mathematics Letters 3 Computational Mathematics and Mathematical Physics 3 Applied Mathematical Modelling 3 Bulletin of the American Mathematical Society. New Series 3 International Journal of Robust and Nonlinear Control 3 Journal of Computer and Systems Sciences International 3 Bulletin des Sciences Mathématiques 3 Discrete and Continuous Dynamical Systems 3 Differential Equations and Dynamical Systems 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Acta Mathematica Sinica. English Series 3 Milan Journal of Mathematics 3 Journal of Function Spaces 2 Applicable Analysis 2 Archive for History of Exact Sciences 2 Computers & Mathematics with Applications 2 Computer Physics Communications 2 Communications on Pure and Applied Mathematics 2 International Journal of Theoretical Physics 2 Journal of Computational Physics 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Archiv der Mathematik 2 Boletim da Sociedade Brasileira de Matemática 2 International Journal of Circuit Theory and Applications 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 Proceedings of the Japan Academy. Series A 2 Quaestiones Mathematicae 2 Rendiconti del Seminario Matematico della Università di Padova 2 Theoretical Population Biology 2 SIAM Journal on Algebraic and Discrete Methods 2 Acta Applicandae Mathematicae 2 Mathematical and Computer Modelling ...and 143 more Serials all top 5 Cited in 48 Fields 380 Ordinary differential equations (34-XX) 175 Dynamical systems and ergodic theory (37-XX) 136 Mechanics of particles and systems (70-XX) 123 Systems theory; control (93-XX) 60 Partial differential equations (35-XX) 46 Numerical analysis (65-XX) 46 Biology and other natural sciences (92-XX) 40 Fluid mechanics (76-XX) 25 Mechanics of deformable solids (74-XX) 24 Operator theory (47-XX) 22 Real functions (26-XX) 22 Probability theory and stochastic processes (60-XX) 18 Difference and functional equations (39-XX) 14 Computer science (68-XX) 13 Operations research, mathematical programming (90-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 History and biography (01-XX) 9 Integral equations (45-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Relativity and gravitational theory (83-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Optics, electromagnetic theory (78-XX) 6 Quantum theory (81-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Information and communication theory, circuits (94-XX) 5 Differential geometry (53-XX) 5 Astronomy and astrophysics (85-XX) 3 Combinatorics (05-XX) 3 Special functions (33-XX) 3 Convex and discrete geometry (52-XX) 3 Statistics (62-XX) 2 Mathematical logic and foundations (03-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 2 Geophysics (86-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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