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Andronov, Aleksandr Aleksandrovich

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Author ID: andronov.aleksandr-aleksandrovich Recent zbMATH articles by "Andronov, Aleksandr Aleksandrovich"
Published as: Andronov, A. A.; Andronov, A.; Andronow, A.; Andronow, A. A.; Andronoff, A.; Andronov, Alexander
External Links: MGP · Math-Net.Ru · Wikidata · GND
Documents Indexed: 43 Publications since 1927, including 9 Books
Biographic References: 3 Publications

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 855 times in 810 Documents Cited by Year
Theory of oscillators. Translated from the Russian by F. Immirzi; translation edited and abridged by W. Fishwick. Zbl 0188.56304
Andronov, A. A.; Vitt, A. A.; Khaĭkin, S. E.
297
1966
Qualitative theory of second-order dynamic systems. Translated from Russian by D. Louvish. Zbl 0282.34022
Andronov, A. A.; Leontovich, E. A.; Gordon, I. I.; Maier, A. G.
290
1973
Theory of oscillations. 2nd ed. (Теория колебаний) (Theorie der Schwingungen. Überarbeitung und Ergänzung von N. A. Zheleztsov. 2. Aufl.) Zbl 0085.17804
Andronov, A. A.; Vitt, A. A.; Khaĭkin, S. È.
75
1959
Systèmes grossiers. Zbl 0016.11301
Andronov, A.; Pontryagin, L. S.
37
1937
Theorie of oscillations. Ed. by S. Lefschetz. Zbl 0032.36501
Andronow, A. A.; Chaikin, S. E.
35
1949
Qualitative Theorie der dynamischen Systeme zweiter Ordnung. Zbl 0168.06801
Andronov, A. A.; Leontovich, E. A.; Gordon, I. I.; Maier, A. G.
31
1966
Systèmes grossiers. JFM 63.0728.01
Andronov, A.; Pontrjagin, L.
16
1937
Les cycles limites de Poincaré et la théorie des oscillations autoentretenues. JFM 55.0882.02
Andronow, A.
11
1929
Generation of limit cycles from a separatrix forming a loop and from the separatrix of an equilibrium state of saddle-node type. Zbl 0133.35102
Andronov, A. A.; Leontovich, E. A.
8
1963
The theory of oscillations. (Teoriya kolebanij). Corrected reprint of the 1937 original. With a preface by L. I. Mandel’shtam. Zbl 0527.34001
Andronov, A. A.; Vitt, A. A.; Khajkin, S. E.
7
1981
Sur la théorie de la variation de la structure qualitative de la division du plan en trajectoires. JFM 64.1402.04
Andronov, A.; Leontovich, E.
7
1938
Theorie der Schwingungen. Band I. Übersetzung aus dem Russischen. In deutscher Sprache herausgegeben von F. Wiegmann. Zbl 0123.40002
Andronow, A. A.; Witt, A.; Chaikin, S.
7
1965
Sufficient conditions for a dynamic system in the plane to have the property of ”first-degree noncoarseness”. Zbl 0265.34054
Andronov, A.; Leontovic, E.
6
1973
Dynamische Systeme der Nichtgrobheit ersten Grades in der Ebene. Notwendige Bedingungen für die Nichtgrobheit ersten Grades eines dynamischen Systems-die Bedingungen \(\Gamma\). Zbl 0143.11902
Andronov, A. A.; Leontovich, E. A.
6
1965
Die einfachsten linearen Systeme mit Retardation. Zbl 0061.20202
Andronov, A. A.; Maier, A. G.
5
1946
On the generation of limit cycles from a loop of a separatrix and from the separatrix of the state of equilibrium of saddle-knot type. (Über die Entstehung von Grenzzyklen aus einer Schleife der Separatrix und aus der Separatrix des Gleichgewichtszustandes vom Typus Sattel-Knoten.) Zbl 0122.32703
Andronov, A. A.; Leontovich, E. A.
3
1959
Sur la théorie mathématique des systèmes auto-oscillatoires à deux degres de liberte. Zbl 0011.25802
Andronow, A.; Witt, A.
2
1934
Expose des recherches recentes sur les oscillations non linéaires. Zbl 0012.10601
Mandelstam, L.; Papalexi, N.; Andronov, A.; Chaikin, S.; Witt, A.
2
1935
Sur un cas dégénérée du problème général de régulation directe. Zbl 0061.19411
Andronow, A.; Bautin, N.
2
1945
Theorie der Schwingungen. Teil II. Herausgegeben von Fritz Wiegmann. Übersetzung aus dem Russischen von Günter Dähnert. Zbl 0172.26101
Andronov, A. A.; Witt, A. A.; Chaikin, S. E.
2
1969
Statistische Auffassung dynamischer Systeme. Zbl 0010.22604
Pontrjagin, L.; Andronoff, A.; Witt, A.
1
1934
Application of Poincaré’s theory of bifurcation points and exchanges of stability to somple autooscillating systems. Zbl 0012.13001
Andronov, A.; Lubina, A.
1
1935
Hinreichende Bedingungen für ”die Nichtgrobheit ersten Grades” eines dynamischen Systems auf der Ebene. Zbl 0218.34043
Andronov, A.; Leontovich, E.
1
1970
Sur la théorie de la variation de la structure qualitative de la division du plan en trajectoires. Zbl 0022.02203
Andronov, A.; Leontovich, E.
1
1938
Stabilisation de route d’un avion neutre par autopilote ayant un vitesse constante et à zone d’insensibilite. Zbl 0063.00093
Andronow, A.; Bautin, N.
1
1945
Unstetige periodische Bewegungen und die Theorie des Multivibrators von Abraham und Bloch. JFM 57.1451.02
Andronov, A.; Witt, A.
1
1930
The theory of oscillations. (Teoriya kolebanij). Corrected reprint of the 1937 original. With a preface by L. I. Mandel’shtam. Zbl 0527.34001
Andronov, A. A.; Vitt, A. A.; Khajkin, S. E.
7
1981
Qualitative theory of second-order dynamic systems. Translated from Russian by D. Louvish. Zbl 0282.34022
Andronov, A. A.; Leontovich, E. A.; Gordon, I. I.; Maier, A. G.
290
1973
Sufficient conditions for a dynamic system in the plane to have the property of ”first-degree noncoarseness”. Zbl 0265.34054
Andronov, A.; Leontovic, E.
6
1973
Hinreichende Bedingungen für ”die Nichtgrobheit ersten Grades” eines dynamischen Systems auf der Ebene. Zbl 0218.34043
Andronov, A.; Leontovich, E.
1
1970
Theorie der Schwingungen. Teil II. Herausgegeben von Fritz Wiegmann. Übersetzung aus dem Russischen von Günter Dähnert. Zbl 0172.26101
Andronov, A. A.; Witt, A. A.; Chaikin, S. E.
2
1969
Theory of oscillators. Translated from the Russian by F. Immirzi; translation edited and abridged by W. Fishwick. Zbl 0188.56304
Andronov, A. A.; Vitt, A. A.; Khaĭkin, S. E.
297
1966
Qualitative Theorie der dynamischen Systeme zweiter Ordnung. Zbl 0168.06801
Andronov, A. A.; Leontovich, E. A.; Gordon, I. I.; Maier, A. G.
31
1966
Theorie der Schwingungen. Band I. Übersetzung aus dem Russischen. In deutscher Sprache herausgegeben von F. Wiegmann. Zbl 0123.40002
Andronow, A. A.; Witt, A.; Chaikin, S.
7
1965
Dynamische Systeme der Nichtgrobheit ersten Grades in der Ebene. Notwendige Bedingungen für die Nichtgrobheit ersten Grades eines dynamischen Systems-die Bedingungen \(\Gamma\). Zbl 0143.11902
Andronov, A. A.; Leontovich, E. A.
6
1965
Generation of limit cycles from a separatrix forming a loop and from the separatrix of an equilibrium state of saddle-node type. Zbl 0133.35102
Andronov, A. A.; Leontovich, E. A.
8
1963
Theory of oscillations. 2nd ed. (Теория колебаний) (Theorie der Schwingungen. Überarbeitung und Ergänzung von N. A. Zheleztsov. 2. Aufl.) Zbl 0085.17804
Andronov, A. A.; Vitt, A. A.; Khaĭkin, S. È.
75
1959
On the generation of limit cycles from a loop of a separatrix and from the separatrix of the state of equilibrium of saddle-knot type. (Über die Entstehung von Grenzzyklen aus einer Schleife der Separatrix und aus der Separatrix des Gleichgewichtszustandes vom Typus Sattel-Knoten.) Zbl 0122.32703
Andronov, A. A.; Leontovich, E. A.
3
1959
Theorie of oscillations. Ed. by S. Lefschetz. Zbl 0032.36501
Andronow, A. A.; Chaikin, S. E.
35
1949
Die einfachsten linearen Systeme mit Retardation. Zbl 0061.20202
Andronov, A. A.; Maier, A. G.
5
1946
Sur un cas dégénérée du problème général de régulation directe. Zbl 0061.19411
Andronow, A.; Bautin, N.
2
1945
Stabilisation de route d’un avion neutre par autopilote ayant un vitesse constante et à zone d’insensibilite. Zbl 0063.00093
Andronow, A.; Bautin, N.
1
1945
Sur la théorie de la variation de la structure qualitative de la division du plan en trajectoires. JFM 64.1402.04
Andronov, A.; Leontovich, E.
7
1938
Sur la théorie de la variation de la structure qualitative de la division du plan en trajectoires. Zbl 0022.02203
Andronov, A.; Leontovich, E.
1
1938
Systèmes grossiers. Zbl 0016.11301
Andronov, A.; Pontryagin, L. S.
37
1937
Systèmes grossiers. JFM 63.0728.01
Andronov, A.; Pontrjagin, L.
16
1937
Expose des recherches recentes sur les oscillations non linéaires. Zbl 0012.10601
Mandelstam, L.; Papalexi, N.; Andronov, A.; Chaikin, S.; Witt, A.
2
1935
Application of Poincaré’s theory of bifurcation points and exchanges of stability to somple autooscillating systems. Zbl 0012.13001
Andronov, A.; Lubina, A.
1
1935
Sur la théorie mathématique des systèmes auto-oscillatoires à deux degres de liberte. Zbl 0011.25802
Andronow, A.; Witt, A.
2
1934
Statistische Auffassung dynamischer Systeme. Zbl 0010.22604
Pontrjagin, L.; Andronoff, A.; Witt, A.
1
1934
Unstetige periodische Bewegungen und die Theorie des Multivibrators von Abraham und Bloch. JFM 57.1451.02
Andronov, A.; Witt, A.
1
1930
Les cycles limites de Poincaré et la théorie des oscillations autoentretenues. JFM 55.0882.02
Andronow, A.
11
1929
all top 5

Cited by 992 Authors

72 Llibre, Jaume
26 Gasull, Armengol
16 Teixeira, Marco Antonio
14 Torregrosa, Joan
13 Ponce, Enrique
11 Valls Anglés, Cláudia
10 Shamolin, Maksim Vladimirovich
9 Giné, Jaume
9 Novaes, Douglas Duarte
9 Prohens, Rafel
9 Torres Peral, Francisco
8 Freire Macías, Emilio
8 Han, Maoan
8 Kuznetsov, Sergey P.
8 Leonov, Gennadiĭ Alekseevich
8 Mello, Luis Fernando O.
7 Giacomini, Hector J.
7 Waltman, Paul Elvis
6 Alvarez, María Jesus
6 Buzzi, Claudio Aguinaldo
6 Cima, Anna
6 de Carvalho Braga, Denis
6 Ezquerro, José Antonio
6 Ferragut, Antoni
6 Grau, Maite
6 Grines, Vyacheslav Zigmundovich
6 Hernández-Verón, Miguel Ángel
6 Medrado, João C. R.
6 Sinelshchikov, Dmitry I.
5 Akhmet, Marat Ubaydulla
5 Fernandes da Fonseca, Alexander
5 Guillamon, Antoni
5 Kudryashov, Nikolaĭ Alekseevich
5 Li, Feng
5 Mañosa, Víctor
5 Mañosas, Francesc
5 Nikitina, Nelly Vladimirovna
5 Oliveira, Regilene D. S.
5 Pessoa, Claudio
5 Sotomayor, Jorge
5 Zhang, Xiang
4 Algaba, Antonio
4 Artés, Joan Carles
4 Awrejcewicz, Jan
4 Chen, Lansun
4 Coll, Bartomeu
4 Cronin-Scanlon, Jane Smiley
4 Danca, Marius-Florin
4 de Carvalho, Tiago
4 Fečkan, Michal
4 García, Cristóbal
4 García, Isaac A.
4 Huan, Songmei
4 Jeffrey, Mike R.
4 Kooij, Robert E.
4 López-Ruiz, Ricardo
4 Nijmeijer, Henk
4 Pochinka, Olga Vital’evna
4 Rubio, María Jesús
4 Salvadori, Luigi
4 Shafer, Douglas S.
4 Tang, Sanyi
4 Tonon, Durval José
4 Yu, Pei
4 Zhang, Weinian
4 Zhang, Xinan
3 Argemi, Jose
3 Belykh, Igor V.
3 Belykh, Vladimir N.
3 Benterki, Rebiha
3 Berezovskaya, Faina Semenovna
3 Bogdanov, R. I.
3 Butler, Geoffrey J.
3 Cairó, Laurent
3 Chagneux, Helene
3 Chavarriga, Javier
3 Chen, Xingwu
3 Chicone, Carmen C.
3 Desroches, Mathieu
3 Dumortier, Freddy
3 Esteban, Marina
3 Fernández-García, Soledad
3 Freedman, Herbert Irving
3 Fufaev, N. A.
3 Garcia, Ronaldo A.
3 Ghil, Michael
3 Gola, Maurice
3 Gomes, Maria Elasir Seabra
3 Gonçalves, Luiz Fernando
3 Grin, Alexander A.
3 Gurevich, Elena Ya.
3 Hernández, Miguel Ángel
3 Hofbauer, Josef
3 Holmes, Philip J.
3 Huang, Jianfeng
3 Kovaleva, Agnessa
3 Kuznetsov, Nikolay Vladimirovich
3 Lan, Kunquan
3 Li, Chengzhi
3 Liang, Feng
...and 892 more Authors
all top 5

Cited in 188 Serials

55 Journal of Differential Equations
49 Journal of Mathematical Analysis and Applications
29 Physica D
25 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
24 Journal of Applied Mathematics and Mechanics
24 Chaos, Solitons and Fractals
22 Journal of Mathematical Sciences (New York)
22 Nonlinear Dynamics
21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18 Qualitative Theory of Dynamical Systems
12 Journal of Mathematical Biology
12 Regular and Chaotic Dynamics
12 Nonlinear Analysis. Theory, Methods & Applications
11 Journal of the Franklin Institute
11 Bulletin of Mathematical Biology
11 Applied Mathematics and Computation
11 Chaos
11 Nonlinear Analysis. Real World Applications
11 PMM, Journal of Applied Mathematics and Mechanics
10 Physics Letters. A
10 Rocky Mountain Journal of Mathematics
10 Prikladnaya Matematika i Mekhanika
9 Mathematical Biosciences
9 Bulletin des Sciences Mathématiques
9 Communications in Nonlinear Science and Numerical Simulation
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Computers & Mathematics with Applications
7 Ukrainian Mathematical Journal
7 Theoretical Population Biology
7 Automation and Remote Control
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Proceedings of the American Mathematical Society
6 Transactions of the American Mathematical Society
6 Applied Mathematics and Mechanics. (English Edition)
6 Applied Mathematics Letters
6 Mathematical and Computer Modelling
6 Journal of Dynamics and Differential Equations
6 Differential Equations
6 SIAM Journal on Applied Dynamical Systems
5 Biological Cybernetics
5 Automatica
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Bulletin of the American Mathematical Society
4 Mathematical Notes
4 Nonlinearity
4 Journal of Computational and Applied Mathematics
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Journal of Economic Dynamics & Control
4 Journal of Nonlinear Science
4 Russian Mathematics
4 Journal of Computer and Systems Sciences International
4 International Applied Mechanics
4 Discrete and Continuous Dynamical Systems
4 Discrete and Continuous Dynamical Systems. Series B
4 Sibirskie Èlektronnye Matematicheskie Izvestiya
4 Proceedings of the Steklov Institute of Mathematics
4 São Paulo Journal of Mathematical Sciences
3 General Relativity and Gravitation
3 International Journal of Control
3 Moscow University Mechanics Bulletin
3 Publications Mathématiques
3 Mathematics and Computers in Simulation
3 Systems & Control Letters
3 Acta Applicandae Mathematicae
3 Acta Mathematicae Applicatae Sinica. English Series
3 Electronic Journal of Differential Equations (EJDE)
3 Mathematical Problems in Engineering
3 Matematicheskie Trudy
3 Discrete Dynamics in Nature and Society
3 Acta Mathematica Sinica. English Series
3 Dynamical Systems
3 Journal of Theoretical Biology
2 Archive for Rational Mechanics and Analysis
2 Fluid Dynamics
2 Journal of Engineering Mathematics
2 Journal of Statistical Physics
2 Periodica Mathematica Hungarica
2 Physics of Fluids
2 Physics Reports
2 Wave Motion
2 Soviet Applied Mechanics
2 Advances in Mathematics
2 Functional Analysis and its Applications
2 Journal of Economic Theory
2 Meccanica
2 Rendiconti del Seminario Matematico della Università di Padova
2 Siberian Mathematical Journal
2 Chinese Annals of Mathematics. Series B
2 Linear Algebra and its Applications
2 Archive of Applied Mechanics
2 Topological Methods in Nonlinear Analysis
2 NoDEA. Nonlinear Differential Equations and Applications
2 Journal of Dynamical and Control Systems
2 Differentsial’nye Uravneniya i Protsessy Upravleniya
2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
2 Advances in Difference Equations
2 Nonlinear Analysis. Hybrid Systems
2 Journal of Applied Analysis and Computation
2 Applied Mathematics and Nonlinear Sciences
1 Acta Mechanica
...and 88 more Serials
all top 5

Cited in 48 Fields

492 Ordinary differential equations (34-XX)
277 Dynamical systems and ergodic theory (37-XX)
98 Biology and other natural sciences (92-XX)
88 Mechanics of particles and systems (70-XX)
53 Systems theory; control (93-XX)
43 Partial differential equations (35-XX)
31 Fluid mechanics (76-XX)
26 Numerical analysis (65-XX)
17 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
16 Mechanics of deformable solids (74-XX)
14 Statistical mechanics, structure of matter (82-XX)
13 Operator theory (47-XX)
13 Differential geometry (53-XX)
13 Classical thermodynamics, heat transfer (80-XX)
11 Global analysis, analysis on manifolds (58-XX)
11 Information and communication theory, circuits (94-XX)
10 Manifolds and cell complexes (57-XX)
10 Computer science (68-XX)
9 History and biography (01-XX)
9 Probability theory and stochastic processes (60-XX)
7 Optics, electromagnetic theory (78-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
5 Algebraic geometry (14-XX)
5 Functions of a complex variable (30-XX)
5 Quantum theory (81-XX)
4 Difference and functional equations (39-XX)
4 Statistics (62-XX)
4 Relativity and gravitational theory (83-XX)
4 Geophysics (86-XX)
3 Number theory (11-XX)
3 Special functions (33-XX)
3 Operations research, mathematical programming (90-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Measure and integration (28-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Approximations and expansions (41-XX)
2 Integral equations (45-XX)
2 Geometry (51-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 Potential theory (31-XX)
1 Functional analysis (46-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)

Citations by Year

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