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Leonov, Gennadiĭ Alekseevich

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Author ID: leonov.gennady-alekseevich Recent zbMATH articles by "Leonov, Gennadiĭ Alekseevich"
Published as: Leonov, G.; Leonov, G. A.; Leonov, Gennadi; Leonov, Gennadii; Leonov, Gennadij A.; Leonov, Gennadiĭ Alekseevich; Leonov, Gennady; Leonov, Gennady A.; Leonov, Gennady Alekseevich
Homepage: http://www.math.spbu.ru/user/leonov/index_en.html
External Links: MGP · Math-Net.Ru · Wikidata · ORCID · ResearchGate · dblp · GND
Documents Indexed: 380 Publications since 1969, including 18 Books
Biographic References: 2 Publications
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Co-Authors

158 single-authored
53 Kuznetsov, Nikolay Vladimirovich
18 Reitmann, Volker
17 Smirnova, Vera Borisovna
12 Burkin, I. M.
9 Shumafov, Magomet M.
7 Andrievskiĭ, Boris Rostislavich
7 Seledzhi, S. M.
7 Yuldashev, Marat Vladimirovich
7 Yuldashev, Renat Vladimirovich
6 Boichenko, Vladimir A.
6 Bojchenko, V. A.
6 Gelig, Arkadiĭ Khaimovich
6 Koryakin, Yu. A.
6 Pogromsky, Alexander Yu.
6 Ponomarenko, D. V.
5 Abramovich, S. M.
5 Aleksandrov, Konstantin Dmitrievich
5 Burkina, L. I.
5 Mokaev, R. N.
5 Vagaitsev, V. I.
4 Abramovich, Sergei
4 Blyagoz, Z. U.
4 Fradkov, Aleksandr L’vovich
4 Kudryashova, Elena Vladimirovna
4 Kuznetsova, Olga Aleksandrovna
4 Solov’eva, E. P.
4 Zaretskiĭ, Aleksandr Mikhaĭlovich
3 Alexeeva, Tatyana Anatolyevna
3 Alidema, Rashit Imer
3 Bragin, V. O.
3 Chen, Guanrong
3 Dem’yanovich, Yuriĭ Kazimirovich
3 Kiseleva, M. A.
3 Mokaev, Tim N.
3 Morozov, A. V.
3 Prasad, Awadhesh
3 Vershik, Anatoliĭ Moiseevich
2 Bondarko, Mikhail Vladimirovich
2 Burago, Yuriĭ Dmitrievich
2 Burova, Irina Gerasimovna
2 Churilov, Alexander N.
2 Dzesov, I. S.
2 Filina, M. Yu.
2 Fyodorov, A. A.
2 Generalov, Aleksandr Ivanovich
2 Gordeev, Nikolai L.
2 Khavin, Viktor Petrovich
2 Ibragimov, Il’dar Abdullovich
2 Ioffe, I. V.
2 Jafari, Sajad
2 Kapitaniak, Tomasz
2 Kazunin, D. V.
2 Koksch, Norbert J.
2 Komarova, G. L.
2 Koryakin, Yurii
2 Koshelev, Aleksander Ivanovich
2 Kozyaruk, A. E.
2 Kravchuk, A. Yu.
2 Lyashko, S. A.
2 Morozov, Nikita Fedorovich
2 Neittaanmäki, Pekka J.
2 Panin, Ivan A.
2 Shepelyavyj, A. I.
2 Shirokov, Nikolaĭ Alekseevich
2 Shrimali, Manish Dev
2 Starkov, Konstantin E.
2 Tovstik, Petr Evgen’evich
2 Vavilov, Nikolaĭ Aleksandrovich
2 Vsemirnov, M. A.
2 Yakubovich, Vladimir Andreevich
2 Yushkov, M. P.
2 Zegzhda, S. A.
2 Zhukov, Igor’ Borisovich
1 Anolik, M. V.
1 Antonov, P. I.
1 Arseniev, Dmitry G.
1 Barabanov, Nikita E.
1 Benois, D. G.
1 Best, R. E.
1 Bljagov, Z. U.
1 Bunin, A. I.
1 Chua, Leon Ong
1 Csieva, T. L.
1 Den Berg, R. A. Van
1 Dsesow, Iwan
1 Dudkowski, Dawid
1 Dybkova, E. V.
1 Ershova, O. B.
1 Fesenko, Ivan Borisovich
1 Filippov, Sergei B.
1 Fomin, Vladimir Nikolaevich
1 Franz, Astrid
1 Gelfert, Katrin Grit
1 Halanay, Aristide
1 Ioffe, N. V.
1 Isakov, V. N.
1 Karpichev, A. M.
1 Kiseleva, Maria
1 Kiseleva, O. B.
1 Kislyakov, Sergeĭ Vital’evich
...and 65 more Co-Authors
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Serials

39 Vestnik St. Petersburg University. Mathematics
36 Doklady Mathematics
27 Automation and Remote Control
22 Differentsial’nye Uravneniya
22 Differential Equations
16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
15 Vestnik Leningrad University. Mathematics
14 Journal of Applied Mathematics and Mechanics
10 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya
9 Siberian Mathematical Journal
7 Prikladnaya Matematika i Mekhanika
7 Differential Equations
7 Differentsial’nye Uravneniya i Protsessy Upravleniya
6 Vestnik Leningradskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya
5 Sibirskiĭ Matematicheskiĭ Zhurnal
4 Physics Letters. A
4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
4 Wissenschaftliche Zeitschrift der Technischen Universität Dresden
4 Journal of Mathematical Sciences (New York)
4 Nonlinear Dynamics
4 Nonlinear Dynamics and Systems Theory
3 Izvestiya Akademii Nauk Kazakhskoĭ SSR, Seriya Fiziko-Matematicheskaya
3 Mathematische Nachrichten
3 Zeitschrift für Analysis und ihre Anwendungen
3 Doklady Akademii Nauk
3 Journal of Computer and Systems Sciences International
3 St. Petersburg Mathematical Journal
3 Differential Equations and Dynamical Systems
3 Doklady Physics
2 Russian Mathematical Surveys
2 Ukraïns’kyĭ Matematychnyĭ Zhurnal
2 Acta Applicandae Mathematicae
2 Regular and Chaotic Dynamics
2 International Journal of Pure and Applied Mathematics
1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika
1 Physics Reports
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Applied Mathematics and Computation
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Soviet Mathematics. Doklady
1 Rendiconti del Seminario Matematico
1 Teorijska i Primenjena Mehanika
1 Soviet Mathematics
1 Systems & Control Letters
1 Physica D
1 Facta Universitatis. Series Mathematics and Informatics
1 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A
1 Soviet Physics. Doklady
1 Facta Universitatis. Series Mechanics, Automatic Control and Robotics
1 Russian Mathematics
1 The Canadian Applied Mathematics Quarterly
1 Kibernetika i Vychislitel’naya Tekhnika (Kiev)
1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ. Severo-Kavkazskiĭ Region. Estestvennye Nauki
1 Communications in Nonlinear Science and Numerical Simulation
1 Vestnik Nizhegorodskogo Universiteta Im. N. I. Lobachevskogo. Matematicheskoe Modelirovanie i Optimal’noe Upravlenie
1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ. Prikladnaya Nelineĭnaya Dinamika
1 Communications on Pure and Applied Analysis
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Mathematics and its Applications (Dordrecht)
1 Proceedings of the Steklov Institute of Mathematics
1 World Scientific Series on Nonlinear Science. Series A
1 World Scientific Series on Nonlinear Science. Series B: Special Theme Issues and Proceedings
1 Stability, Oscillations and Optimization of Systems

Publications by Year

Citations contained in zbMATH Open

228 Publications have been cited 2,725 times in 1,008 Documents Cited by Year
Hidden attractors in dynamical systems. from hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in Chua circuits. Zbl 1270.34003
Leonov, G. A.; Kuznetsov, N. V.
216
2013
Localization of hidden Chua’s attractors. Zbl 1242.34102
Leonov, G. A.; Kuznetsov, N. V.; Vagaitsev, V. I.
204
2011
Hidden attractor in smooth Chua systems. Zbl 1277.34052
Leonov, G. A.; Kuznetsov, N. V.; Vagaitsev, V. I.
147
2012
The stability of nonlinear systems with a nonunique equilibrium state. (Ustojchivost’ nelinejnykh sistem s needinstvennym sostoyaniem ravnovesiya). Zbl 0544.93051
Gelig, A. Kh.; Leonov, G. A.; Yakubovich, V. A.
122
1978
Hidden attractors in dynamical systems. Zbl 1359.34054
Dudkowski, Dawid; Jafari, Sajad; Kapitaniak, Tomasz; Kuznetsov, Nikolay V.; Leonov, Gennady A.; Prasad, Awadhesh
121
2016
Attraktorlokalisierung des Lorenz-Systems. (Localization of the attractor of the Lorenz system). Zbl 0653.34040
Leonov, G. A.; Bunin, A. I.; Koksch, N.
88
1987
Stability of stationary sets in control systems with discontinuous nonlinearities. Zbl 1054.93002
Yakubovich, V. A.; Leonov, G. A.; Gelig, A. Kh.
87
2004
Time-varying linearization and the Perron effects. Zbl 1142.34033
Leonov, G. A.; Kuznetsov, N. V.
81
2007
Frequency-domain methods for nonlinear analysis. Theory and applications. Zbl 0954.65091
Leonov, G. A.; Ponomarenko, D. V.; Smirnova, V. B.
80
1996
Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua’s circuits. Zbl 1266.93072
Bragin, V. O.; Vagaitsev, V. I.; Kuznetsov, N. V.; Leonov, G. A.
77
2011
General existence conditions of homoclinic trajectories in dissipative systems. Lorenz, Shimizu-Morioka, Lu and Chen systems. Zbl 1266.34079
Leonov, G. A.
55
2012
On differences and similarities in the analysis of Lorenz, Chen, and Lu systems. Zbl 1338.37046
Leonov, G. A.; Kuznetsov, N. V.
51
2015
Strange attractors and classical stability theory. Zbl 1300.34094
Leonov, G.
51
2008
Dimension theory for ordinary differential equations. Zbl 1094.34002
Boichenko, Vladimir A.; Leonov, Gennadij A.; Reitmann, Volker
51
2005
Lyapunov’s direct method in the estimation of the Hausdorff dimension of attractors. Zbl 0758.58022
Leonov, G. A.; Boichenko, V. A.
49
1992
Frequency methods in oscillation theory. Transl. of the original Russian work. Zbl 0844.34005
Leonov, G. A.; Burkin, I. M.; Shepeljavyi, A. I.
48
1996
Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations. Zbl 1349.37031
Kuznetsov, N. V.; Alexeeva, T. A.; Leonov, G. A.
43
2016
Algorithms for searching for hidden oscillations in the Aizerman and Kalman problems. Zbl 1247.34063
Leonov, G. A.; Kuznetsov, N. V.
42
2011
Controlling dynamics of hidden attractors. Zbl 1314.34134
Sharma, Pooja Rani; Shrimali, Manish Dev; Prasad, Awadhesh; Kuznetsov, N. V.; Leonov, G. A.
40
2015
Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system. Zbl 1398.37090
Kuznetsov, N. V.; Leonov, G. A.; Mokaev, T. N.; Prasad, A.; Shrimali, M. D.
38
2018
Bounds for attractors and the existence of homoclinic orbits in the Lorenz system. Zbl 1025.34048
Leonov, G. A.
30
2001
Shilnikov chaos in Lorenz-like systems. Zbl 1270.34103
Leonov, G. A.
29
2013
Non-local methods for pendulum-like feedback systems. Zbl 0774.93001
Leonov, Gennadij A.; Reitmann, Volker; Smirnova, Vera B.
29
1992
Fishing principle for homoclinic and heteroclinic trajectories. Zbl 1331.34079
Leonov, G. A.
27
2014
Hidden attractors on one path: Glukhovsky-Dolzhansky, Lorenz, and Rabinovich systems. Zbl 1377.34021
Chen, G.; Kuznetsov, N. V.; Leonov, G. A.; Mokaev, T. N.
26
2017
The Tricomi problem for the Shimizu-Morioka dynamical system. Zbl 1269.34051
Leonov, G. A.
26
2012
Mathematical problems of control theory. An introduction. Zbl 0986.93002
Leonov, Gennady A.
25
2001
Lyapunov functions in the attractor dimension theory. Zbl 1272.34074
Leonov, G. A.
22
2012
Analytical-numerical methods for hidden attractors’ localization: the 16th Hilbert problem, Aizerman and Kalman conjectures, and Chua circuits. Zbl 1267.65200
Leonov, Gennady A.; Kuznetsov, Nikolay V.
21
2013
Existence criterion of homoclinic trajectories in the Glukhovsky-Dolzhansky system. Zbl 1342.37022
Leonov, G. A.
19
2015
Criteria for the existence of homoclinic orbits of systems Lu and Chen. Zbl 1278.34049
Leonov, G. A.
18
2013
Phase synchronization: theory and applications. Zbl 1195.37016
Leonov, G. A.
18
2006
Stability and bifurcations of phase-locked loops for digital signal processors. Zbl 1089.94049
Leonov, G.; Seledzhi, S.
18
2005
Analytical-numerical localization of hidden attractor in electrical Chua’s circuit. Zbl 1308.93107
Kuznetsov, Nikolay; Kuznetsova, Olga; Leonov, Gennady; Vagaitsev, Vladimir
17
2013
Visualization of four normal size limit cycles in two-dimensional polynomial quadratic system. Zbl 1260.34058
Kuznetsov, N. V.; Kuznetsova, O. A.; Leonov, G. A.
17
2013
Algorithm for constructing counterexamples to the Kalman problem. Zbl 1202.93099
Leonov, G. A.; Bragin, V. O.; Kuznetsov, N. V.
17
2010
Attractors, limit cycles and homoclinic orbits of low dimensional quadratic systems. Analytical methods. Zbl 1225.34066
Leonov, G. A.
17
2009
Mathematical problems of phase synchronization theory. Zbl 0961.93001
Leonov, G. A.; Smirnova, V. B.
17
2000
Scenario of the birth of hidden attractors in the Chua circuit. Zbl 1379.34045
Stankevich, Nataliya V.; Kuznetsov, Nikolay V.; Leonov, Gennady A.; Chua, Leon O.
16
2017
Algorithm for localizing Chua attractors based on the harmonic linearization method. Zbl 1226.34050
Leonov, G. A.; Vagaitsev, V. I.; Kuznetsov, N. V.
16
2010
Local instability and localization of attractors. From stochastic generator to Chua’s systems. Zbl 0826.58020
Leonov, G. A.; Ponomarenko, D. V.; Smirnova, V. B.
15
1995
On estimations of Hausdorff dimension of attractors. Zbl 0754.34056
Leonov, G. A.
13
1991
The dimension formula for the Lorenz attractor. Zbl 1242.34103
Leonov, G. A.; Pogromsky, A. Yu.; Starkov, K. E.
12
2011
Hilbert’s 16th problem for quadratic systems: new methods based on a transformation to the Lienard equation. Zbl 1147.34316
Leonov, G.
12
2008
Hidden oscillations in dynamical systems. 16 Hilbert’s problem, Aizerman’s and Kalman’s conjectures, hidden attractors in Chua’s circuits. Zbl 1338.37045
Leonov, G. A.; Kuznetsov, N. V.
11
2014
The Tricomi problem on the existence of homoclinic orbits in dissipative systems. Zbl 1282.34052
Leonov, G. A.
11
2013
Formulas for the Lyapunov dimension of attractors of the generalized Lorenz system. Zbl 1300.37025
Leonov, G. A.
11
2013
Lyapunov dimension formulas for Hénon and Lorenz attractors. Zbl 1004.37014
Leonov, G. A.
11
2002
The frequency theorem (Kalman-Yakubovich lemma) in control theory. Zbl 0932.93001
Barabanov, N. E.; Gelig, A. Kh.; Leonov, G. A.; Likhtarnikov, A. L.; Matveev, A. S.; Smirnova, V. B.; Fradkov, A. L.
11
1996
Attraktoreingrenzung für nichtlineare Systeme. (Border of attractors for nonlinear systems). Zbl 0666.58028
Leonov, Gennadij A.; Reitmann, Volker
11
1987
Localization of hidden attractors of the generalized Chua system based on the method of harmonic balance. Zbl 1251.37081
Vagaitsev, V. I.; Kuznetsov, N. V.; Leonov, G. A.
10
2010
Limit cycles of the Liénard equation with discontinuous coefficients. Zbl 1184.34040
Leonov, G. A.
10
2009
The single-step stabilization algorithm for a linear object of control. Zbl 1102.65073
Leonov, G. A.; Shumafov, M. M.
10
2005
Necessary and sufficient conditions of the existence of homoclinic trajectories and cascade of bifurcations in Lorenz-like systems: birth of strange attractor and 9 homoclinic bifurcations. Zbl 1354.37033
Leonov, G. A.
9
2016
Stabilization of controllable linear systems. Zbl 1215.93128
Leonov, G. A.; Shumafov, M. M.
9
2010
Generalization of the Andronov–Vitt theorem. Zbl 1164.34448
Leonov, G. A.
8
2006
On estimates of the bifurcation values of the parameters of a Lorenz system. Zbl 0717.34044
Leonov, G. A.
8
1988
Cycles of two-dimensional systems: computer calculations, proofs, and experiments. Zbl 1251.93095
Leonov, G. A.; Kuznetsov, N. V.; Kudryashova, E. V.
7
2008
Localization of the attractors of the non-autonomous Liénard equation by the method of discontinuous comparison systems. Zbl 0880.34055
Leonov, G. A.
7
1996
Rössler systems: estimates for the dimension of attractors and homoclinic orbits. Zbl 1359.37084
Leonov, G. A.
6
2014
Pyragas stabilizability via delayed feedback with periodic control gain. Zbl 1288.93067
Leonov, G. A.
6
2014
Prediction of hidden oscillations existence in nonlinear dynamical systems: analytics and simulation. Zbl 1272.93064
Leonov, Gennady A.; Kuznetsov, Nikolay V.
6
2013
Efficient methods in the search for periodic oscillations in dynamical systems. Zbl 1272.70108
Leonov, G. A.
6
2010
Lyapunov quantities and limit cycles of two-dimensional dynamical systems. Analytical methods and symbolic computation. Zbl 1209.34041
Leonov, G. A.; Kuznetsova, O. A.
6
2010
Design of convergent switched systems. Zbl 1217.93056
Den Berg, R. A. Van; Pogromsky, A. Yu.; Leonov, G. A.; Rooda, J. E.
6
2006
Asymptotic orbital stability conditions for flows by estimates of singular values of the linearization. Zbl 0988.34043
Leonov, Gennady Alekseevich; Noack, Antje; Reitmann, Volker
6
2001
Lyapunov functions, Lozinskij norms, and the Hausdorff measure in the qualitative theory of differential equations. Zbl 0974.37017
Boichenko, V. A.; Leonov, G. A.
6
1998
Hausdorff and fractal dimension estimates for invariant sets of non-injective maps. Zbl 0896.58042
Boichenko, V. A.; Franz, A.; Leonov, G. A.; Reitmann, V.
6
1998
A criterion for the strong orbital stability of the trajectories of dynamical systems. I. Zbl 0810.34043
Kravchuk, A. Yu.; Leonov, G. A.; Ponomarenko, D. V.
6
1992
On a method for investigating global stability of nonlinear systems. Zbl 0752.34030
Leonov, G. A.
6
1991
Dynamics of the Zeraoulia-Sprott map revisited. Zbl 1343.37018
Chen, Guanrong; Kudryashova, Elena V.; Kuznetsov, Nikolay V.; Leonov, Gennady A.
5
2016
Aircraft control with anti-windup compensation. Zbl 1266.93058
Leonov, G. A.; Andrievskii, B. R.; Kuznetsov, N. V.; Pogromskii, A. Yu.
5
2012
Differential equations of Costas loop. Zbl 1258.34101
Leonov, G. A.; Kuznetsov, N. V.; Yuldashev, M. V.; Yuldashev, R. V.
5
2012
Upper estimates for the Hausdorff dimension of negatively invariant sets of local cocycles. Zbl 1231.37016
Leonov, G. A.; Reitmann, V.; Slepukhin, A. S.
5
2011
A criterion for the existence of four limit cycles in quadratic systems. Zbl 1272.34039
Leonov, G. A.
5
2010
On problems of Aizerman and Kalman. Zbl 1251.93110
Leonov, G. A.; Kuznetsov, N. V.; Bragin, V. O.
5
2010
Dynamics and control of hybrid mechanical systems. Selected papers based on the presentations at the mini-symposium “Dynamics and control of hybrid mechanical systems”, St. Petersburg, Russia, 2008. Dedicated to Ilya Izrailevich Blekhman on the occasion of his 80th birthday. Zbl 1183.93003
Leonov, Gennady (ed.); Nijmeijer, Henk (ed.); Pogromsky, Alexander (ed.); Fradkov, Alexander (ed.)
5
2010
The Brockett problem for linear discrete control systems. Zbl 1090.93557
Leonov, G. A.
5
2002
Two-dimensional quadratic systems as a Liénard equation. Zbl 0898.34024
Leonov, G. A.
5
1997
Stability and oscillation of solutions of integro-differential equations of pendulum-like systems. Zbl 0848.45004
Leonov, G. A.; Smirnova, V. B.
5
1996
Lyapunov’s direct method in estimates of topological entropy. Zbl 0906.54017
Boichenko, V. A.; Leonov, G. A.
5
1995
On estimates of the Hausdorff dimension of attractors. Zbl 0734.34043
Leonov, G. A.
5
1991
Estimation of loop-bifurcation parameters for a saddle-point separatrix of a Lorentz system. Zbl 0715.34081
Leonov, G. A.
5
1988
On dissipativity and global stability of a Lorentz system. Zbl 0616.34052
Leonov, G. A.
5
1986
Frequency estimates of the number of cycle slippings in phase-locked automatic control systems. Zbl 0535.93031
Ershova, O. B.; Leonov, G. A.
5
1983
A class of dynamic systems with cylindrical phase spaces. Zbl 0373.34022
Leonov, G. A.
5
1976
Hidden attractors in dynamical models of phase-locked loop circuits: limitations of simulation in MATLAB and SPICE. Zbl 07261197
Kuznetsov, Nikolay V.; Leonov, G. A.; Yuldashev, M. V.; Yuldashev, R. V.
4
2017
Generalized Lorenz equations for acoustic-gravity waves in the atmosphere: attractors dimension, convergence and homoclinic trajectories. Zbl 1375.37077
Leonov, G. A.
4
2017
Lyapunov dimension formulas for Lorenz-like systems. Zbl 1368.37033
Leonov, G. A.
4
2016
Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity. Zbl 07246014
Leonov, G. A.; Kuznetsov, N. V.; Mokaev, T. N.
4
2015
Drilling systems: stability and hidden oscillations. Zbl 1334.70010
Kiseleva, M. A.; Kuznetsov, N. V.; Leonov, G. A.; Neittaanmäki, P.
4
2014
Vibrational stabilization and the Brockett problem. Zbl 1256.93083
Leonov, G. A.; Shumafov, M. M.
4
2011
Limit cycles of quadratic systems with a perturbed weak focus of order 3 and a saddle equilibrium at infinity. Zbl 1227.34032
Leonov, G. A.; Kuznetsov, N. V.
4
2010
On the harmonic linearization method. Zbl 1199.93042
Leonov, G. A.
4
2009
On the Lyapunov dimension of the attractor of the Chirikov dissipative mapping. Zbl 1103.37014
Leonov, G. A.; Poltinnikova, M. S.
4
2005
The second Liapunov method in the theory of phase synchronization. Zbl 0353.34052
Leonov, G. A.
4
1976
On the boundedness of the trajectories of phase systems. Zbl 0301.34037
Leonov, G. A.
4
1975
Stability of phase systems. Zbl 0303.93048
Leonov, G. A.
4
1974
Lyapunov dimension formula for the attractor of the Glukhovsky-Dolzhansky system. Zbl 1361.37029
Leonov, G. A.; Mokaev, Tim N.
3
2016
Mathematical models of the Costas loop. Zbl 1338.94116
Leonov, G. A.; Kuznetsov, N. V.; Yuldashev, M. V.; Yuldashev, R. V.
3
2015
Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system. Zbl 1398.37090
Kuznetsov, N. V.; Leonov, G. A.; Mokaev, T. N.; Prasad, A.; Shrimali, M. D.
38
2018
Lyapunov functions in the global analysis of chaotic systems. Zbl 1420.37022
Leonov, G. A.
2
2018
Mathematical modeling of transients of the hydraulic unit of the Sayano-Shushenskaya HPP. Zbl 1458.76118
Leonov, Gennadiĭ Alekseevich; Kuznetsov, Nikolaiĭ Vladimirovich; Andrievskiĭ, Boris Rostislavich; Yuldashev, Marat Vladimirovich
1
2018
Exact Lyapunov dimension of attractors and convergence for the Lorentz system. Zbl 1400.34094
Leonov, G. A.
1
2018
Pyragas stabilizability of unstable equilibria by nonstationary time-delayed feedback. Zbl 1398.93288
Leonov, G. A.; Shumafov, M. M.
1
2018
Hidden attractors on one path: Glukhovsky-Dolzhansky, Lorenz, and Rabinovich systems. Zbl 1377.34021
Chen, G.; Kuznetsov, N. V.; Leonov, G. A.; Mokaev, T. N.
26
2017
Scenario of the birth of hidden attractors in the Chua circuit. Zbl 1379.34045
Stankevich, Nataliya V.; Kuznetsov, Nikolay V.; Leonov, Gennady A.; Chua, Leon O.
16
2017
Hidden attractors in dynamical models of phase-locked loop circuits: limitations of simulation in MATLAB and SPICE. Zbl 07261197
Kuznetsov, Nikolay V.; Leonov, G. A.; Yuldashev, M. V.; Yuldashev, R. V.
4
2017
Generalized Lorenz equations for acoustic-gravity waves in the atmosphere: attractors dimension, convergence and homoclinic trajectories. Zbl 1375.37077
Leonov, G. A.
4
2017
Methods for suppressing nonlinear oscillations in astatic auto-piloted aircraft control systems. Zbl 1385.93057
Andrievsky, B. R.; Kuznetsov, N. V.; Leonov, G. A.
2
2017
A tribute to J. C. Sprott. Zbl 1381.34004
Nazarimehr, Fahimeh; Jafari, Sajad; Chen, Guanrong; Kapitaniak, Tomasz; Kuznetsov, Nikolay V.; Leonov, Gennady A.; Li, Chunbiao; Wei, Zhouchao
2
2017
Hausdorff-Lebesgue dimension of attractors. Zbl 1380.37049
Leonov, G.
2
2017
Dynamics of a Stewart platform. Zbl 07158983
Andrievskiy, B. R.; Arseniev, D. G.; Zegzhda, S. A.; Kazunin, D. V.; Kuznetsov, N. V.; Leonov, G. A.; Tovstik, P. E.; Tovstik, T. P.; Yushkov, M. P.
1
2017
Global problems of differential inclusions: the problems of Kalman and Vyshnegradskii, Chua’s circuit. Zbl 1394.34003
Leonov, G. A.; Kuznetsov, N. V.; Kiseleva, M. A.; Mokaev, R. N.
1
2017
Asymptotic behavior of solutions of Lorenz-like systems: analytical results and computer error structures. Zbl 1385.34014
Leonov, G. A.; Andrievskiy, B. R.; Mokaev, R. N.
1
2017
Workspaces of the Stewart platform in the 6D space of generalized coordinates. Zbl 1370.93043
Leonov, G. A.; Tovstik, P. E.; Tovstik, T. M.
1
2017
Hidden attractors in dynamical systems. Zbl 1359.34054
Dudkowski, Dawid; Jafari, Sajad; Kapitaniak, Tomasz; Kuznetsov, Nikolay V.; Leonov, Gennady A.; Prasad, Awadhesh
121
2016
Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations. Zbl 1349.37031
Kuznetsov, N. V.; Alexeeva, T. A.; Leonov, G. A.
43
2016
Necessary and sufficient conditions of the existence of homoclinic trajectories and cascade of bifurcations in Lorenz-like systems: birth of strange attractor and 9 homoclinic bifurcations. Zbl 1354.37033
Leonov, G. A.
9
2016
Dynamics of the Zeraoulia-Sprott map revisited. Zbl 1343.37018
Chen, Guanrong; Kudryashova, Elena V.; Kuznetsov, Nikolay V.; Leonov, Gennady A.
5
2016
Lyapunov dimension formulas for Lorenz-like systems. Zbl 1368.37033
Leonov, G. A.
4
2016
Lyapunov dimension formula for the attractor of the Glukhovsky-Dolzhansky system. Zbl 1361.37029
Leonov, G. A.; Mokaev, Tim N.
3
2016
Lyapunov dimension formula for the global attractor of the Lorenz system. Zbl 1458.37030
Leonov, G. A.; Kuznetsov, N. V.; Korzhemanova, N. A.; Kusakin, D. V.
2
2016
Delayed feedback stabilization and the Huijberts-Michiels-Nijmeijer problem. Zbl 1364.93646
Leonov, G. A.; Shumafov, M. M.; Kuznetsov, N. V.
2
2016
Lyapunov dimension formulas for Lorenz-like systems. Zbl 1357.37034
Leonov, G. A.
1
2016
Computation of the phase detector characteristic of a QPSK Costas loop. Zbl 1353.94022
Leonov, G. A.; Kuznetsov, N. V.; Yuldashev, M. V.; Yuldashev, R. V.
1
2016
On differences and similarities in the analysis of Lorenz, Chen, and Lu systems. Zbl 1338.37046
Leonov, G. A.; Kuznetsov, N. V.
51
2015
Controlling dynamics of hidden attractors. Zbl 1314.34134
Sharma, Pooja Rani; Shrimali, Manish Dev; Prasad, Awadhesh; Kuznetsov, N. V.; Leonov, G. A.
40
2015
Existence criterion of homoclinic trajectories in the Glukhovsky-Dolzhansky system. Zbl 1342.37022
Leonov, G. A.
19
2015
Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity. Zbl 07246014
Leonov, G. A.; Kuznetsov, N. V.; Mokaev, T. N.
4
2015
Mathematical models of the Costas loop. Zbl 1338.94116
Leonov, G. A.; Kuznetsov, N. V.; Yuldashev, M. V.; Yuldashev, R. V.
3
2015
Cascade of bifurcations in Lorenz-like systems: birth of a strange attractor, blue sky catastrophe bifurcation, and nine homoclinic bifurcations. Zbl 1360.37133
Leonov, G. A.
3
2015
Existence conditions of homoclinic trajectories in Tigan system. Zbl 1330.34072
Leonov, G.
2
2015
Computation of the phase detector characteristic of classical PLL. Zbl 1354.93151
Leonov, G. A.; Kuznetsov, N. V.; Yuldahsev, M. V.; Yuldashev, R. V.
2
2015
Differential equations of controlled pneumatic actuators for 6-DOF Stewart platform. Zbl 1315.93012
Andrievsky, B.; Kazunin, D. V.; Kostygova, D. M.; Kuznetsov, N. V.; Leonov, G. A.; Lobanov, P.; Volkov, A. A.
2
2015
Pyragas stabilization of discrete systems with delayed feedback and pulse periodic gain. Zbl 1370.93217
Leonov, G. A.; Zvyagintseva, K. A.
1
2015
Method of asymptotic integration for solutions of Lorenz-type systems. Zbl 1327.34080
Leonov, G. A.
1
2015
Lyapunov functions in estimates of attractor dimensions for generalized Rössler systems. Zbl 1352.37043
Leonov, G. A.; Alexeeva, T. A.
1
2015
Fishing principle for homoclinic and heteroclinic trajectories. Zbl 1331.34079
Leonov, G. A.
27
2014
Hidden oscillations in dynamical systems. 16 Hilbert’s problem, Aizerman’s and Kalman’s conjectures, hidden attractors in Chua’s circuits. Zbl 1338.37045
Leonov, G. A.; Kuznetsov, N. V.
11
2014
Rössler systems: estimates for the dimension of attractors and homoclinic orbits. Zbl 1359.37084
Leonov, G. A.
6
2014
Pyragas stabilizability via delayed feedback with periodic control gain. Zbl 1288.93067
Leonov, G. A.
6
2014
Drilling systems: stability and hidden oscillations. Zbl 1334.70010
Kiseleva, M. A.; Kuznetsov, N. V.; Leonov, G. A.; Neittaanmäki, P.
4
2014
Nonlinear analysis of phase-locked loop-based circuits. Zbl 1315.94148
Best, R. E.; Kuznetsov, N. V.; Leonov, G. A.; Yuldashev, M. V.; Yuldashev, R. V.
3
2014
Estimates of the Lyapunov dimension of attractors for generalized Rössler systems. Zbl 1370.37056
Leonov, G. A.; Alexeeva, T. A.
1
2014
Hidden attractors in dynamical systems. from hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in Chua circuits. Zbl 1270.34003
Leonov, G. A.; Kuznetsov, N. V.
216
2013
Shilnikov chaos in Lorenz-like systems. Zbl 1270.34103
Leonov, G. A.
29
2013
Analytical-numerical methods for hidden attractors’ localization: the 16th Hilbert problem, Aizerman and Kalman conjectures, and Chua circuits. Zbl 1267.65200
Leonov, Gennady A.; Kuznetsov, Nikolay V.
21
2013
Criteria for the existence of homoclinic orbits of systems Lu and Chen. Zbl 1278.34049
Leonov, G. A.
18
2013
Analytical-numerical localization of hidden attractor in electrical Chua’s circuit. Zbl 1308.93107
Kuznetsov, Nikolay; Kuznetsova, Olga; Leonov, Gennady; Vagaitsev, Vladimir
17
2013
Visualization of four normal size limit cycles in two-dimensional polynomial quadratic system. Zbl 1260.34058
Kuznetsov, N. V.; Kuznetsova, O. A.; Leonov, G. A.
17
2013
The Tricomi problem on the existence of homoclinic orbits in dissipative systems. Zbl 1282.34052
Leonov, G. A.
11
2013
Formulas for the Lyapunov dimension of attractors of the generalized Lorenz system. Zbl 1300.37025
Leonov, G. A.
11
2013
Prediction of hidden oscillations existence in nonlinear dynamical systems: analytics and simulation. Zbl 1272.93064
Leonov, Gennady A.; Kuznetsov, Nikolay V.
6
2013
Visualization of four limit cycles of two-dimensional quadratic systems in the parameter space. Zbl 1378.34051
Leonov, G. A.; Burova, I. G.; Aleksandrov, K. D.
2
2013
Hidden attractor in smooth Chua systems. Zbl 1277.34052
Leonov, G. A.; Kuznetsov, N. V.; Vagaitsev, V. I.
147
2012
General existence conditions of homoclinic trajectories in dissipative systems. Lorenz, Shimizu-Morioka, Lu and Chen systems. Zbl 1266.34079
Leonov, G. A.
55
2012
The Tricomi problem for the Shimizu-Morioka dynamical system. Zbl 1269.34051
Leonov, G. A.
26
2012
Lyapunov functions in the attractor dimension theory. Zbl 1272.34074
Leonov, G. A.
22
2012
Aircraft control with anti-windup compensation. Zbl 1266.93058
Leonov, G. A.; Andrievskii, B. R.; Kuznetsov, N. V.; Pogromskii, A. Yu.
5
2012
Differential equations of Costas loop. Zbl 1258.34101
Leonov, G. A.; Kuznetsov, N. V.; Yuldashev, M. V.; Yuldashev, R. V.
5
2012
Global stability and oscillations of dynamical systems describing synchronous electrical machines. Zbl 1260.93011
Leonov, G. A.; Zaretskiy, A. M.
2
2012
Control of aircraft with AW-compensation. Zbl 1412.93037
Leonov, G. A.; Andrievskiĭ, B. R.; Kuznetsov, N. V.; Pogromskiĭ, A. Yu.
1
2012
Stabilization of linear systems. Zbl 1402.93011
Leonov, Gennady A.; Shumafov, Magomet M.
1
2012
On a special type of stability of differential equations for induction machines with double squirrel-cage rotor. Zbl 1276.78009
Leonov, G. A.; Solov’eva, E. P.
1
2012
Stability domain analysis of an antiwindup control system for an unstable object. Zbl 1264.93199
Leonov, G. A.; Kuznetsov, N. V.; Pogromskii, A. Yu.
1
2012
Asymptotic behavior of solutions of differential equations describing synchronous machines. Zbl 1348.70054
Leonov, G. A.; Zaretskiĭ, A. M.
1
2012
The nonlocal reduction method in analyzing the stability of differential equations of induction machines. Zbl 1349.78019
Leonov, G. A.; Solov’eva, E. P.
1
2012
Localization of hidden Chua’s attractors. Zbl 1242.34102
Leonov, G. A.; Kuznetsov, N. V.; Vagaitsev, V. I.
204
2011
Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua’s circuits. Zbl 1266.93072
Bragin, V. O.; Vagaitsev, V. I.; Kuznetsov, N. V.; Leonov, G. A.
77
2011
Algorithms for searching for hidden oscillations in the Aizerman and Kalman problems. Zbl 1247.34063
Leonov, G. A.; Kuznetsov, N. V.
42
2011
The dimension formula for the Lorenz attractor. Zbl 1242.34103
Leonov, G. A.; Pogromsky, A. Yu.; Starkov, K. E.
12
2011
Upper estimates for the Hausdorff dimension of negatively invariant sets of local cocycles. Zbl 1231.37016
Leonov, G. A.; Reitmann, V.; Slepukhin, A. S.
5
2011
Vibrational stabilization and the Brockett problem. Zbl 1256.93083
Leonov, G. A.; Shumafov, M. M.
4
2011
A direct method for calculating Lyapunov quantities of two-dimensional dynamical systems. Zbl 1230.34031
Leonov, G. A.; Kuznetsov, N. V.; Kudryashova, E. V.
3
2011
Frequency oscillations estimates for digital phase-locked loops. Zbl 1269.93041
Leonov, G. A.; Fyodorov, A. A.
2
2011
Computation of phase detector characteristics in synchronization systems. Zbl 1237.93079
Leonov, G. A.; Kuznetsov, N. V.; Yuldashev, M. V.; Yuldashev, R. V.
1
2011
Four normal size limit cycles in two-dimensional quadratic systems. Zbl 1210.34047
Leonov, G. A.
1
2011
Algorithm for constructing counterexamples to the Kalman problem. Zbl 1202.93099
Leonov, G. A.; Bragin, V. O.; Kuznetsov, N. V.
17
2010
Algorithm for localizing Chua attractors based on the harmonic linearization method. Zbl 1226.34050
Leonov, G. A.; Vagaitsev, V. I.; Kuznetsov, N. V.
16
2010
Localization of hidden attractors of the generalized Chua system based on the method of harmonic balance. Zbl 1251.37081
Vagaitsev, V. I.; Kuznetsov, N. V.; Leonov, G. A.
10
2010
Stabilization of controllable linear systems. Zbl 1215.93128
Leonov, G. A.; Shumafov, M. M.
9
2010
Efficient methods in the search for periodic oscillations in dynamical systems. Zbl 1272.70108
Leonov, G. A.
6
2010
Lyapunov quantities and limit cycles of two-dimensional dynamical systems. Analytical methods and symbolic computation. Zbl 1209.34041
Leonov, G. A.; Kuznetsova, O. A.
6
2010
A criterion for the existence of four limit cycles in quadratic systems. Zbl 1272.34039
Leonov, G. A.
5
2010
On problems of Aizerman and Kalman. Zbl 1251.93110
Leonov, G. A.; Kuznetsov, N. V.; Bragin, V. O.
5
2010
Dynamics and control of hybrid mechanical systems. Selected papers based on the presentations at the mini-symposium “Dynamics and control of hybrid mechanical systems”, St. Petersburg, Russia, 2008. Dedicated to Ilya Izrailevich Blekhman on the occasion of his 80th birthday. Zbl 1183.93003
Leonov, Gennady (ed.); Nijmeijer, Henk (ed.); Pogromsky, Alexander (ed.); Fradkov, Alexander (ed.)
5
2010
Limit cycles of quadratic systems with a perturbed weak focus of order 3 and a saddle equilibrium at infinity. Zbl 1227.34032
Leonov, G. A.; Kuznetsov, N. V.
4
2010
Lyapunov quantities and limit cycles of two-dimensional dynamical systems. Zbl 1303.93156
Kuznetsov, N. V.; Leonov, G. A.
3
2010
Four limit cycles in quadratic two-dimensional systems with a perturbed first-order weak focus. Zbl 1372.34067
Leonov, G. A.
2
2010
Synthesis of two-dimensional quadratic systems with a limit cycle satisfying prescribed initial conditions. Zbl 1221.34078
Leonov, G. A.
2
2010
Localization of the attractor of the differential equations for the solar wind-magnetosphere-ionosphere model. Zbl 1233.35194
Leonov, G. A.; Kuznetsov, N. V.; Seledzhi, S. M.; Starkov, K. E.
1
2010
Limit cycles in quadratic systems with a first-order weak focus. Zbl 1273.34041
Leonov, G. A.
1
2010
Necessary and sufficient conditions for the boundedness of solutions to two-dimensional quadratic systems in a positively invariant half-plane. Zbl 1203.34060
Leonov, G. A.
1
2010
Frequency-domain estimates for the oscillation periods of nonlinear discrete systems. Zbl 1202.93049
Leonov, G. A.; Fyodorov, A. A.
1
2010
Attractors, limit cycles and homoclinic orbits of low dimensional quadratic systems. Analytical methods. Zbl 1225.34066
Leonov, G. A.
17
2009
Limit cycles of the Liénard equation with discontinuous coefficients. Zbl 1184.34040
Leonov, G. A.
10
2009
On the harmonic linearization method. Zbl 1199.93042
Leonov, G. A.
4
2009
On the Aizerman problem. Zbl 1181.93065
Leonov, G. A.
3
2009
On the method of harmonic linearization. Zbl 1180.93026
Leonov, G. A.
2
2009
...and 128 more Documents
all top 5

Cited by 1,226 Authors

123 Leonov, Gennadiĭ Alekseevich
56 Kuznetsov, Nikolay Vladimirovich
53 Jafari, Sajad
45 Pham, Viet-Thanh
35 Zhang, Fuchen
32 Sprott, Julien Clinton
27 Wei, Zhouchao
22 Huang, Lin
21 Chen, Guanrong
20 Kapitaniak, Tomasz
19 Mu, Chunlai
19 Zhang, Guangyun
17 Volos, Christos K.
16 Fradkov, Aleksandr L’vovich
16 Nazarimehr, Fahimeh
16 Rajagopal, Karthikeyan
15 Kengne, Jacques
14 Duan, Zhisheng
14 Li, Chunbiao
13 Kogan, Mark Mikhailovich
13 Liao, Xiaofeng
13 Yang, Qigui
13 Yang, Ying
12 Logemann, Hartmut
12 Starkov, Konstantin E.
12 Yang, Xiaosong
11 Nikitina, Nelly Vladimirovna
11 Wang, Xiong
10 Andrievskiĭ, Boris Rostislavich
10 Balandin, Dmitriĭ Vladimirovich
10 Kingni, Sifeu Takougang
10 Pogromsky, Alexander Yu.
10 Prasad, Awadhesh
10 Wang, Jinzhi
10 Wang, Zhen
10 Yu, Pei
9 Barabanov, Nikita E.
9 Gelig, Arkadiĭ Khaimovich
9 Hayat, Tasawar
9 Liu, Yongjian
9 Reitmann, Volker
9 Vaidyanathan, Sundarapandian
9 Wang, Haijun
9 Zhang, Wei
9 Zuber, Irina Efremovna
8 Banerjee, Tanmoy
8 Bao, Bocheng
8 Burkin, I. M.
8 Chen, Mo
8 Dudkowski, Dawid
8 Karthikeyan, Anitha
8 Liao, Xiao Xin
8 Sarkar, Bishnu Charan
8 Wang, Lei
7 Akgul, Akif
7 Danca, Marius-Florin
7 Efimov, Denis V.
7 Giesl, Peter
7 Guiver, Chris
7 Krishchenko, Alexander P.
7 Li, Xianyi
7 Shu, Yonglu
7 Smirnova, Vera Borisovna
7 Yuldashev, Renat Vladimirovich
6 Anikushin, Mikhaĭl Mikhaĭlovich
6 Bao, Han
6 Belozyorov, Vasiliy Ye.
6 Cang, Shijian
6 Chen, Zengqiang
6 Gusev, Sergeĭ Valentinovich
6 Izobov, Nikolaĭ Alekseevich
6 Li, Damei
6 Ma, Jun
6 Mokaev, R. N.
6 Moroz, Irene M.
6 Ryabchenko, Vladimir Nikolaevich
6 Shumafov, Magomet M.
6 Xu, Quan
6 Yuldashev, Marat Vladimirovich
5 Aleksandrov, Konstantin Dmitrievich
5 Al-saedi, Ahmed Eid Salem
5 Bobtsov, Alexey A.
5 Kanatnikov, Anatoly N.
5 Khalaf, Abdul Jalil M.
5 Lu, Junan
5 Lu, Pingli
5 Martynyuk, Anatoliĭ Andriĭovych
5 Mikrin, Evgeniĭ Anatol’evich
5 Misrikhanov, M. Sh.
5 Nijmeijer, Henk
5 Njitacke, Zeric Tabekoueng
5 Panahi, Shirin
5 Paul, Bishwajit
5 Proskurnikov, Anton Viktorovich
5 Shiriaev, Anton Stanislavovich
5 Utina, N. V.
5 Wang, Xingyuan
5 Wang, Zenghui
5 Wu, Xiaoqun
5 Zhang, Sen
...and 1,126 more Authors
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Cited in 131 Serials

191 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
61 Chaos, Solitons and Fractals
61 Nonlinear Dynamics
60 Automation and Remote Control
42 Chaos
39 Vestnik St. Petersburg University. Mathematics
38 Doklady Mathematics
32 Differential Equations
26 Automatica
22 Applied Mathematics and Computation
20 Journal of Applied Mathematics and Mechanics
18 Systems & Control Letters
18 Complexity
18 Communications in Nonlinear Science and Numerical Simulation
16 Differentsial’nye Uravneniya i Protsessy Upravleniya
15 Journal of Computer and Systems Sciences International
14 Physics Letters. A
12 Siberian Mathematical Journal
11 International Applied Mechanics
11 Discrete and Continuous Dynamical Systems. Series B
10 Journal of Mathematical Analysis and Applications
9 Journal of the Franklin Institute
9 Mathematical Problems in Engineering
9 European Journal of Control
9 Advances in Difference Equations
8 Mathematical Methods in the Applied Sciences
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Physica D
7 International Journal of Control
7 International Journal of Robust and Nonlinear Control
7 Journal of Mathematical Sciences (New York)
6 Journal of Optimization Theory and Applications
6 MCSS. Mathematics of Control, Signals, and Systems
6 Nonlinear Analysis. Hybrid Systems
5 Prikladnaya Matematika i Mekhanika
5 Mathematics and Computers in Simulation
5 Doklady Physics
5 Qualitative Theory of Dynamical Systems
4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
4 Journal of Differential Equations
4 SIAM Journal on Control and Optimization
4 Circuits, Systems, and Signal Processing
4 Linear Algebra and its Applications
4 Regular and Chaotic Dynamics
3 Mathematical Notes
3 Acta Applicandae Mathematicae
3 Abstract and Applied Analysis
3 Journal of Dynamical and Control Systems
3 Advances in Mathematical Physics
3 Nonlinear Analysis. Theory, Methods & Applications
2 Journal of Mathematical Biology
2 Journal of Mathematical Physics
2 Ukrainian Mathematical Journal
2 Journal of Computational and Applied Mathematics
2 Applied Mathematics and Mechanics. (English Edition)
2 Computational Mathematics and Modeling
2 Applied Mathematical Modelling
2 Journal of Dynamics and Differential Equations
2 Russian Mathematics
2 Discrete and Continuous Dynamical Systems
2 Differential Equations and Dynamical Systems
2 Nonlinear Analysis. Real World Applications
2 Journal of Applied Mathematics
2 SIAM Journal on Applied Dynamical Systems
2 Chebyshevskiĭ Sbornik
2 Algorithms
2 Journal of Applied Analysis and Computation
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Acta Mechanica
1 Biological Cybernetics
1 Computers & Mathematics with Applications
1 International Journal of Systems Science
1 Nonlinearity
1 Physica A
1 Physics Reports
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 Journal of Theoretical and Applied Mechanics (Sofia)
1 Soviet Applied Mechanics
1 BIT
1 Functional Analysis and its Applications
1 Kybernetika
1 Mathematische Nachrichten
1 Zeitschrift für Analysis und ihre Anwendungen
1 Journal of Complexity
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 Journal of Scientific Computing
1 Economics Letters
1 International Journal of Adaptive Control and Signal Processing
1 European Journal of Operational Research
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Review
1 Celestial Mechanics and Dynamical Astronomy
1 Archive of Applied Mechanics
1 Statistical Papers
1 Journal of Difference Equations and Applications
1 Sbornik: Mathematics
1 Journal of Mathematical Chemistry
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
...and 31 more Serials
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Cited in 36 Fields

554 Ordinary differential equations (34-XX)
378 Dynamical systems and ergodic theory (37-XX)
338 Systems theory; control (93-XX)
85 Mechanics of particles and systems (70-XX)
85 Information and communication theory, circuits (94-XX)
35 Numerical analysis (65-XX)
30 Biology and other natural sciences (92-XX)
18 Difference and functional equations (39-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
13 Fluid mechanics (76-XX)
12 Computer science (68-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Partial differential equations (35-XX)
11 Optics, electromagnetic theory (78-XX)
10 Measure and integration (28-XX)
10 Operations research, mathematical programming (90-XX)
9 Integral equations (45-XX)
9 Mechanics of deformable solids (74-XX)
7 Operator theory (47-XX)
7 Geophysics (86-XX)
6 Real functions (26-XX)
5 History and biography (01-XX)
5 Probability theory and stochastic processes (60-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 General topology (54-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Quantum theory (81-XX)
2 Number theory (11-XX)
2 Statistics (62-XX)
1 General and overarching topics; collections (00-XX)
1 Field theory and polynomials (12-XX)
1 Functions of a complex variable (30-XX)
1 Differential geometry (53-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Relativity and gravitational theory (83-XX)

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