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Rachinskii, Dmitrii I.

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Author ID: rachinskii.dmitrii-i Recent zbMATH articles by "Rachinskii, Dmitrii I."
Published as: Rachinskii, Dmitrii; Rachinskij, D. I.; Rachinskii, D.; Rachinskii, D. I.; Rachinskii, Dmitrii I.; Rachinskiĭ, D. I.; Rachinskij, D.; Rachinskij, Dmitrij; Rachinskij, Dmitrii; Rachinskii, Dmitry; Rachinskij, Dmitry; Rachinski, D.
External Links: MGP
Documents Indexed: 122 Publications since 1992
5 Contributions as Editor
Reviewing Activity: 18 Reviews
Co-Authors: 92 Co-Authors with 111 Joint Publications
1,755 Co-Co-Authors
all top 5

Co-Authors

16 single-authored
34 Krasnosel’skiĭ, Aleksandr Markovich
16 Pokrovskiĭ, Alexeĭ Vadimovich
15 Krasnosel’skiĭ, Mark Aleksandrovich
9 Kuznetsov, Nikolai Aleksandrovich
9 Mennicken, Reinhard
8 Balanov, Zalman I.
7 Kravetc, Pavel
7 Krawcewicz, Wieslaw Z.
7 Pimenov, Alexander
6 Hooton, Edward W.
6 Krejčí, Pavel
5 Brokate, Martin
5 Gurevich, Pavel L.
5 Mayergoyz, Isaak D.
4 Kelly, Thomas C.
4 Korobeinikov, Andrei
4 Kozyakin, Viktor Sergeevich
4 Lamba, Harbir
4 O’Callaghan, Michael J. A.
4 Yumagulov, Marat Gayazovich
3 Schneider, Klaus R.
3 Sobolev, Vladimir A.
3 Zhezherun, A. A.
2 Amann, Andreas
2 Arnold, Maxim
2 Begun, Nikita Andreevich
2 Bliman, Pierre-Alexandre
2 Chernorutskii, Vladimir V.
2 Dimian, Mihai
2 Kopfová, Jana
2 Mortell, Michael Philip
2 Rouf, Samiha C.
2 Vladimirov, Andrei G.
1 Acharya, Subas
1 Andreev, D. E.
1 Asarin, E. A.
1 Bakhtin, Ivan Alekseevich
1 Baranov, P. V.
1 Bensoussan, Alain
1 Bobylev, Nikolaĭ Antonovich
1 Bondarenko, V. A.
1 Bouse, E.
1 Burd, V. Sh.
1 Chladná, Zuzana
1 Culloty, S.
1 Davino, Daniele
1 Emel’yanov, Stanislav Vasil’evich
1 Fathian, Kaveh
1 Gallagher, M. C.
1 Gans, Nicholas R.
1 Gendelman, Oleg V.
1 Gorin, Evgeniĭ Alekseevich
1 Gudoshnikov, Ivan
1 Iványi, Amália
1 Iványi, Péter
1 Kadaub, E.
1 Kalmár-Nagy, Tamás
1 Klein, Olaf
1 Kloeden, Peter Eris
1 Knees, Dorothee
1 Kurzhanskiĭ, Aleksandr Borisovich
1 Kwame, Eyram
1 Levin, Anatoly Yu.
1 Makarenkov, Oleg Yuryĭovych
1 März, Roswitha
1 McAllen, R.
1 McCarthy, Stephen
1 Melnik, Sergey
1 Milogorodskii, A.
1 Monteiro, Giselle Antunes
1 Mukhamadiev, Eh. M.
1 Nábělková, Petra
1 Nizette, Michel
1 O’Grady, Edward
1 O’Malley, Robert E. jun.
1 O’Regan, Suzanne M.
1 O’reilly, Eoin P.
1 O’Riordan, R. M.
1 Perov, Anatolij Ivanovich
1 Pokornyi, Yulii Vital’evich
1 Quinlan, Michael H.
1 Rasskazov, Oleg
1 Rivera, Alejandro
1 Ruderman, Michael S.
1 Sadovskii, Boris Nikolaevich
1 Strygin, Vadim V.
1 Tronel, Gérard
1 Tsypkin, Yakov Zalmanovich
1 Visone, Ciro
1 Wolfrum, Matthias
1 Wu, Haopin
1 Zabreĭko, Pëtr Petrovich
all top 5

Serials

16 Automation and Remote Control
13 Doklady Mathematics
7 Discrete and Continuous Dynamical Systems. Series B
6 Mathematische Nachrichten
5 Journal of Differential Equations
5 Journal of Physics. Conference Series
4 Journal of Mathematical Biology
4 Russian Academy of Sciences. Doklady. Mathematics
4 NoDEA. Nonlinear Differential Equations and Applications
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Zeitschrift für Analysis und ihre Anwendungen
3 Mathematica Bohemica
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Mathematical Analysis and Applications
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Theoretical Population Biology
2 Irish Mathematical Society Bulletin
2 Doklady Akademii Nauk
2 Discrete and Continuous Dynamical Systems
2 Functional Differential Equations
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Chaos
2 Communications in Nonlinear Science and Numerical Simulation
2 Mathematical Modelling of Natural Phenomena
2 Nonlinear Analysis. Theory, Methods & Applications
1 Applicable Analysis
1 Control and Cybernetics
1 Differential Equations
1 Functional Analysis and its Applications
1 IEEE Transactions on Automatic Control
1 SIAM Journal on Control and Optimization
1 Physica D
1 Asymptotic Analysis
1 Journal of Applied Mathematics and Stochastic Analysis
1 European Journal of Applied Mathematics
1 SIAM Journal on Applied Mathematics
1 Journal of Dynamics and Differential Equations
1 Journal of Inequalities and Applications
1 Izvestiya. Rossiĭskaya Akademiya Estestvennykh Nauk. Matematika, Matematicheskoe Modelirovanie, Informatika i Upravlenie
1 Differential Equations
1 Nonlinear Analysis. Real World Applications
1 SIAM Journal on Applied Dynamical Systems
1 Mathematical Medicine and Biology
1 Proceedings of the Steklov Institute of Mathematics
1 SIAM Journal on Financial Mathematics
1 IEEE Transactions on Circuits and Systems I: Regular Papers
1 Journal of Nonlinear and Variational Analysis

Publications by Year

Citations contained in zbMATH Open

62 Publications have been cited 193 times in 99 Documents Cited by Year
Memory effects in population dynamics : spread of infectious disease as a case study. Zbl 1316.92088
Pimenov, A.; Kelly, T. C.; Korobeinikov, A.; O’Callaghan, M. J. A.; Pokrovskii, A. V.; Rachinskii, D.
11
2012
Stability of large cycles in a nonsmooth problem with Hopf bifurcation at infinity. Zbl 0963.34034
Diamond, P.; Rachinskii, D.; Yumagulov, M.
9
2000
Differential equations with hysteresis via a canonical example. Zbl 1142.34026
Brokate, Martin; Pokrovskii, Alexej; Rachinskii, Dmitrii; Rasskazov, Oleg
9
2006
On a bifurcation governed by hysteresis nonlinearity. Zbl 1013.34036
Krasnosel’skii, Alexander; Rachinskii, Dmitrii
7
2002
On the Hopf bifurcation in control systems with a bounded nonlinearity asymptotically homogeneous at infinity. Zbl 0984.34029
Diamond, P.; Kuznetsov, N.; Rachinskii, D.
7
2001
Asymptotic stability of continuum sets of periodic solutions to systems with hysteresis. Zbl 1111.34035
Brokate, M.; Pokrovskii, A.; Rachinskii, D.
6
2006
Linear stability analysis of systems with Preisach memory. Zbl 1181.47075
Pimenov, Alexander; Rachinskii, Dmitrii
6
2009
Hopf bifurcation in symmetric networks of coupled oscillators with hysteresis. Zbl 1264.34093
Balanov, Z.; Krawcewicz, W.; Rachinskii, D.; Zhezherun, A.
6
2012
On the existence of cycles in autonomous systems. Zbl 1197.34060
Krasnosel’skii, A. M.; Rachinskii, D. I.
6
2002
The Kurzweil integral in financial market modeling. Zbl 1389.34140
Krejčí, Pavel; Lamba, Harbir; Monteiro, Giselle Antunes; Rachinskii, Dmitrii
5
2016
Some analytical properties of the multidimensional continuous Mróz model of plasticity. Zbl 0967.74016
Brokate, Martin; Krejčí, Pavel; Rachinskii, Dmitrii
5
1998
Dynamics of discrete time systems with a hysteresis stop operator. Zbl 1361.37076
Arnold, Maxim; Begun, Nikita; Gurevich, Pavel; Kwame, Eyram; Lamba, Harbir; Rachinskii, Dmitrii
5
2017
Pulse interaction via gain and loss dynamics in passive mode locking. Zbl 1276.34075
Nizette, Michel; Rachinskii, Dmitrii; Vladimirov, Andrei; Wolfrum, Matthias
5
2006
Adaptive behaviour and multiple equilibrium states in a predator-prey model. Zbl 1314.92140
Pimenov, Alexander; Kelly, Thomas C.; Korobeinikov, Andrei; O’Callaghan, Michael J. A.; Rachinskii, Dmitrii
5
2015
Dynamic Hopf bifurcations generated by nonlinear terms. Zbl 1070.34065
Rachinskii, D.; Schneider, K. R.
5
2005
Convergence of direct recursive algorithm for identification of Preisach hysteresis model with stochastic input. Zbl 1341.93092
Rachinskii, D.; Ruderman, M.
4
2016
Multivalent guiding functions in forced oscillation problems. Zbl 0840.34038
Rachinski, D.
4
1996
Kurzweil integral representation of interacting Prandtl-Ishlinskii operators. Zbl 1335.47043
Krejčí, Pavel; Lamba, Harbir; Melnik, Sergey; Rachinskii, Dmitrii
4
2015
Chaos in a seasonally perturbed SIR model: avian influenza in a seabird colony as a paradigm. Zbl 1286.37074
O’Regan, Suzanne M.; Kelly, Thomas C.; Korobeinikov, Andrei; O’Callaghan, Michael J. A.; Pokrovskii, Alexei V.; Rachinskii, Dmitrii
4
2013
Cycle stability for Hopf bifurcation generated by sublinear terms. Zbl 1010.34031
Krasnosel’skij, Alexander; Mennicken, Reinhard; Rachinskij, Dmitrij
3
2002
Realization of arbitrary hysteresis by a low-dimensional gradient flow. Zbl 1330.34074
Rachinskii, Dmitrii
3
2016
Forced oscillations in control systems under near-resonance conditions. Zbl 0932.93038
Rachinskij, D. I.
3
1995
Asymptotic stability of large-amplitude oscillations in systems with hysteresis. Zbl 0938.34036
Rachinskii, Dmitrii
3
1999
Potential bounds in nonpotential two-point boundary-value problems. Zbl 0887.34015
Krasnosel’ski, Mark; Menniken, Reinhard; Rachinskij, Dmitrij
3
1997
Equivalent combinations of stops. Zbl 1123.34312
Rachinskii, D. I.
3
1998
Noninvasive stabilization of periodic orbits in \(O_4\)-symmetrically coupled systems near a Hopf bifurcation point. Zbl 1370.34119
Hooton, Edward; Balanov, Zalman; Krawcewicz, Wieslaw; Rachinskii, Dmitrii
3
2017
Sliding Hopf bifurcation in interval systems. Zbl 1360.37125
Hooton, Edward; Balanov, Zalman; Krawcewicz, Wieslaw; Rachinskii, Dmitrii
3
2017
Well-posedness of parabolic equations containing hysteresis with diffusive thresholds. Zbl 1288.35277
Gurevich, Pavel; Rachinskii, Dmitrii
3
2013
Hopf bifurcations at infinity, generated by bounded nonlinear terms. Zbl 1057.34033
Krasnosel’skii, A.; Rachinskii, D.
3
1999
On geometric conditions for reduction of the Moreau sweeping process to the Prandtl-Ishlinskii operator. Zbl 1404.74026
Rachinskii, Dmitrii
3
2018
Global dynamics of SIR model with switched transmission rate. Zbl 1440.34044
Chladná, Zuzana; Kopfová, Jana; Rachinskii, Dmitrii; Rouf, Samiha C.
3
2020
Potential bounds in problems on quasilinear elliptic equations. Zbl 0951.35048
Krasnosel’skij, Mark; Mennicken, Reinhard; Rachinskij, Dmitrii
2
1999
Andronov-Hopf bifurcation in systems with Preisach operator. Zbl 1186.34061
Zhezherun, A. A.; Kuznetsov, N. A.; Rachinskii, D. I.
2
2008
Hopf bifurcations in resonance 2:1. Zbl 1035.34027
Krasnosel’skii, A. M.; Rachinskii, D. I.; Schneider, K. R.
2
2003
Dynamics of systems with Preisach memory near equilibria. Zbl 1340.34163
McCarthy, Stephen; Rachinskii, Dmitrii
2
2014
Homoclinic orbits in a two-patch predator-prey model with Preisach hysteresis operator. Zbl 1349.47141
Pimenov, Alexander; Rachinskii, Dmitrii
2
2014
On the number of unbounded solution branches in a neighborhood of an asymptotic bifurcation point. Zbl 1128.47055
Krasnosel’skii, A. M.; Rachinskii, D. I.
2
2005
Topological degree in analysis of canard-type trajectories in 3-D systems. Zbl 1236.34084
Pokrovskii, A.; Rachinskii, D.; Sobolev, V.; Zhezherun, A.
2
2011
On resonant differential equations with unbounded non-linearities. Zbl 1025.34032
Krasnosel’skij, A. M.; Kuznetsov, N. A.; Rachinskij, D. I.
2
2002
Pattern formation in parabolic equations containing hysteresis with diffusive thresholds. Zbl 1307.35039
Gurevich, Pavel; Rachinskii, Dmitrii
2
2015
Delayed loss of stability in systems with degenerate linear parts. Zbl 1051.34042
Rachinskij, D.; Schneider, K. R.
2
2003
Memory and adaptive behavior in population dynamics: anti-predator behavior as a case study. Zbl 1373.92109
Pimenov, Alexander; Kelly, Thomas C.; Korobeinikov, Andrei; O’Callaghan, Michael J.; Rachinskii, Dmitrii
2
2017
On natural continua of periodic solutions of the systems with hysteresis. Zbl 1071.34045
Rachinskij, D. I.
2
2003
Mixed global dynamics of forced vibro-impact oscillator with Coulomb friction. Zbl 1427.34061
Gendelman, Oleg; Kravetc, Pavel; Rachinskii, Dmitrii
2
2019
On bifurcation of large-amplitude stable cycles for equations with hysteresis. Zbl 1086.34042
Rachinskii, D. I.
1
2004
Robust homoclinic orbits in planar systems with Preisach hysteresis operator. Zbl 1344.37027
Pimenov, Alexander; Rachinskii, Dmitrii
1
2016
On canonical states of continual systems of relays. Zbl 0959.93001
Krasnosel’skii, M.; Mayergoyz, I.; Rachinskii, D.
1
1995
Invariant convex classes of states of continual relay systems. Zbl 0854.93028
Krasnosel’skij, M. A.; Rachinskij, D. I.
1
1994
On global stability of the scalar Chaboche models. Zbl 1101.34032
Brokate, M.; Rachinskii, D.
1
2005
Effect of positive feedback on Devil’s staircase input-output relationship. Zbl 1258.93063
Pokrovskii, Alexei; Rachinskii, Dmitrii
1
2013
Small periodic solutions generated by sublinear terms. Zbl 1001.34032
Krasnosel’skii, Alexander M.; Mennicken, Reinhard; Rachinskii, Dmitrii I.
1
2002
The Cauchy problem for differential equations with a Mroz hysteresis nonlinearity. Zbl 0929.34004
Rachinskij, D. I.
1
1997
On uniqueness of an initial-value problem for ODE with hysteresis. Zbl 0882.34004
Chernorutskij, Vladimir; Rachinskij, Dmitry
1
1997
Remark on the Hopf bifurcation theorem. Zbl 1062.34043
Krasnosel’skii, A. M.; Rachinskii, D. I.
1
2004
Sector estimates of nonlinearities and the existence of self-oscillations in control systems. Zbl 1056.34507
Bliman, P.-A.; Krasnosel’skij, A. M.; Rachinskij, D. I.
1
2000
The Hamiltonian nature of Lur’e systems. Zbl 1059.34509
Krasnosel’skij, A. M.; Rachinskij, D. I.
1
2000
Periodic canard trajectories with multiple segments following the unstable part of critical manifold. Zbl 1275.34080
Krasnosel’skii, Alexander M.; O’Grady, Edward; Pokrovskii, Alexei V.; Rachinskii, Dmitrii I.
1
2013
Existence of continua of cycles in Hamiltonian control systems. Zbl 1092.93543
Krasnosel’skiĭ, A. M.; Rachinskiĭ, D. I.
1
2001
On a nonlocal condition for existence of cycles of hysteresis systems. Zbl 1071.34044
Krasnosel’skij, A. M.; Rachinskij, D. I.
1
2003
Continua of cycles of higher-order equations. Zbl 1082.34028
Krasnosel’skiĭ, A. M.; Rachinskiĭ, D. I.
1
2003
Equivariant degree method for analysis of Hopf bifurcation of relative periodic solutions: case study of a ring of oscillators. Zbl 1397.34121
Balanov, Zalman; Kravetc, Pavel; Krawcewicz, Wieslaw; Rachinskii, Dmitrii
1
2018
Mechanism of synchronization in frequency dividers. Zbl 1468.94509
Amann, Andreas; Mortell, Michael Philip; O’Reilly, Eoin P.; Quinlan, Michael; Rachinskii, Dmitrii
1
2009
Global dynamics of SIR model with switched transmission rate. Zbl 1440.34044
Chladná, Zuzana; Kopfová, Jana; Rachinskii, Dmitrii; Rouf, Samiha C.
3
2020
Mixed global dynamics of forced vibro-impact oscillator with Coulomb friction. Zbl 1427.34061
Gendelman, Oleg; Kravetc, Pavel; Rachinskii, Dmitrii
2
2019
On geometric conditions for reduction of the Moreau sweeping process to the Prandtl-Ishlinskii operator. Zbl 1404.74026
Rachinskii, Dmitrii
3
2018
Equivariant degree method for analysis of Hopf bifurcation of relative periodic solutions: case study of a ring of oscillators. Zbl 1397.34121
Balanov, Zalman; Kravetc, Pavel; Krawcewicz, Wieslaw; Rachinskii, Dmitrii
1
2018
Dynamics of discrete time systems with a hysteresis stop operator. Zbl 1361.37076
Arnold, Maxim; Begun, Nikita; Gurevich, Pavel; Kwame, Eyram; Lamba, Harbir; Rachinskii, Dmitrii
5
2017
Noninvasive stabilization of periodic orbits in \(O_4\)-symmetrically coupled systems near a Hopf bifurcation point. Zbl 1370.34119
Hooton, Edward; Balanov, Zalman; Krawcewicz, Wieslaw; Rachinskii, Dmitrii
3
2017
Sliding Hopf bifurcation in interval systems. Zbl 1360.37125
Hooton, Edward; Balanov, Zalman; Krawcewicz, Wieslaw; Rachinskii, Dmitrii
3
2017
Memory and adaptive behavior in population dynamics: anti-predator behavior as a case study. Zbl 1373.92109
Pimenov, Alexander; Kelly, Thomas C.; Korobeinikov, Andrei; O’Callaghan, Michael J.; Rachinskii, Dmitrii
2
2017
The Kurzweil integral in financial market modeling. Zbl 1389.34140
Krejčí, Pavel; Lamba, Harbir; Monteiro, Giselle Antunes; Rachinskii, Dmitrii
5
2016
Convergence of direct recursive algorithm for identification of Preisach hysteresis model with stochastic input. Zbl 1341.93092
Rachinskii, D.; Ruderman, M.
4
2016
Realization of arbitrary hysteresis by a low-dimensional gradient flow. Zbl 1330.34074
Rachinskii, Dmitrii
3
2016
Robust homoclinic orbits in planar systems with Preisach hysteresis operator. Zbl 1344.37027
Pimenov, Alexander; Rachinskii, Dmitrii
1
2016
Adaptive behaviour and multiple equilibrium states in a predator-prey model. Zbl 1314.92140
Pimenov, Alexander; Kelly, Thomas C.; Korobeinikov, Andrei; O’Callaghan, Michael J. A.; Rachinskii, Dmitrii
5
2015
Kurzweil integral representation of interacting Prandtl-Ishlinskii operators. Zbl 1335.47043
Krejčí, Pavel; Lamba, Harbir; Melnik, Sergey; Rachinskii, Dmitrii
4
2015
Pattern formation in parabolic equations containing hysteresis with diffusive thresholds. Zbl 1307.35039
Gurevich, Pavel; Rachinskii, Dmitrii
2
2015
Dynamics of systems with Preisach memory near equilibria. Zbl 1340.34163
McCarthy, Stephen; Rachinskii, Dmitrii
2
2014
Homoclinic orbits in a two-patch predator-prey model with Preisach hysteresis operator. Zbl 1349.47141
Pimenov, Alexander; Rachinskii, Dmitrii
2
2014
Chaos in a seasonally perturbed SIR model: avian influenza in a seabird colony as a paradigm. Zbl 1286.37074
O’Regan, Suzanne M.; Kelly, Thomas C.; Korobeinikov, Andrei; O’Callaghan, Michael J. A.; Pokrovskii, Alexei V.; Rachinskii, Dmitrii
4
2013
Well-posedness of parabolic equations containing hysteresis with diffusive thresholds. Zbl 1288.35277
Gurevich, Pavel; Rachinskii, Dmitrii
3
2013
Effect of positive feedback on Devil’s staircase input-output relationship. Zbl 1258.93063
Pokrovskii, Alexei; Rachinskii, Dmitrii
1
2013
Periodic canard trajectories with multiple segments following the unstable part of critical manifold. Zbl 1275.34080
Krasnosel’skii, Alexander M.; O’Grady, Edward; Pokrovskii, Alexei V.; Rachinskii, Dmitrii I.
1
2013
Memory effects in population dynamics : spread of infectious disease as a case study. Zbl 1316.92088
Pimenov, A.; Kelly, T. C.; Korobeinikov, A.; O’Callaghan, M. J. A.; Pokrovskii, A. V.; Rachinskii, D.
11
2012
Hopf bifurcation in symmetric networks of coupled oscillators with hysteresis. Zbl 1264.34093
Balanov, Z.; Krawcewicz, W.; Rachinskii, D.; Zhezherun, A.
6
2012
Topological degree in analysis of canard-type trajectories in 3-D systems. Zbl 1236.34084
Pokrovskii, A.; Rachinskii, D.; Sobolev, V.; Zhezherun, A.
2
2011
Linear stability analysis of systems with Preisach memory. Zbl 1181.47075
Pimenov, Alexander; Rachinskii, Dmitrii
6
2009
Mechanism of synchronization in frequency dividers. Zbl 1468.94509
Amann, Andreas; Mortell, Michael Philip; O’Reilly, Eoin P.; Quinlan, Michael; Rachinskii, Dmitrii
1
2009
Andronov-Hopf bifurcation in systems with Preisach operator. Zbl 1186.34061
Zhezherun, A. A.; Kuznetsov, N. A.; Rachinskii, D. I.
2
2008
Differential equations with hysteresis via a canonical example. Zbl 1142.34026
Brokate, Martin; Pokrovskii, Alexej; Rachinskii, Dmitrii; Rasskazov, Oleg
9
2006
Asymptotic stability of continuum sets of periodic solutions to systems with hysteresis. Zbl 1111.34035
Brokate, M.; Pokrovskii, A.; Rachinskii, D.
6
2006
Pulse interaction via gain and loss dynamics in passive mode locking. Zbl 1276.34075
Nizette, Michel; Rachinskii, Dmitrii; Vladimirov, Andrei; Wolfrum, Matthias
5
2006
Dynamic Hopf bifurcations generated by nonlinear terms. Zbl 1070.34065
Rachinskii, D.; Schneider, K. R.
5
2005
On the number of unbounded solution branches in a neighborhood of an asymptotic bifurcation point. Zbl 1128.47055
Krasnosel’skii, A. M.; Rachinskii, D. I.
2
2005
On global stability of the scalar Chaboche models. Zbl 1101.34032
Brokate, M.; Rachinskii, D.
1
2005
On bifurcation of large-amplitude stable cycles for equations with hysteresis. Zbl 1086.34042
Rachinskii, D. I.
1
2004
Remark on the Hopf bifurcation theorem. Zbl 1062.34043
Krasnosel’skii, A. M.; Rachinskii, D. I.
1
2004
Hopf bifurcations in resonance 2:1. Zbl 1035.34027
Krasnosel’skii, A. M.; Rachinskii, D. I.; Schneider, K. R.
2
2003
Delayed loss of stability in systems with degenerate linear parts. Zbl 1051.34042
Rachinskij, D.; Schneider, K. R.
2
2003
On natural continua of periodic solutions of the systems with hysteresis. Zbl 1071.34045
Rachinskij, D. I.
2
2003
On a nonlocal condition for existence of cycles of hysteresis systems. Zbl 1071.34044
Krasnosel’skij, A. M.; Rachinskij, D. I.
1
2003
Continua of cycles of higher-order equations. Zbl 1082.34028
Krasnosel’skiĭ, A. M.; Rachinskiĭ, D. I.
1
2003
On a bifurcation governed by hysteresis nonlinearity. Zbl 1013.34036
Krasnosel’skii, Alexander; Rachinskii, Dmitrii
7
2002
On the existence of cycles in autonomous systems. Zbl 1197.34060
Krasnosel’skii, A. M.; Rachinskii, D. I.
6
2002
Cycle stability for Hopf bifurcation generated by sublinear terms. Zbl 1010.34031
Krasnosel’skij, Alexander; Mennicken, Reinhard; Rachinskij, Dmitrij
3
2002
On resonant differential equations with unbounded non-linearities. Zbl 1025.34032
Krasnosel’skij, A. M.; Kuznetsov, N. A.; Rachinskij, D. I.
2
2002
Small periodic solutions generated by sublinear terms. Zbl 1001.34032
Krasnosel’skii, Alexander M.; Mennicken, Reinhard; Rachinskii, Dmitrii I.
1
2002
On the Hopf bifurcation in control systems with a bounded nonlinearity asymptotically homogeneous at infinity. Zbl 0984.34029
Diamond, P.; Kuznetsov, N.; Rachinskii, D.
7
2001
Existence of continua of cycles in Hamiltonian control systems. Zbl 1092.93543
Krasnosel’skiĭ, A. M.; Rachinskiĭ, D. I.
1
2001
Stability of large cycles in a nonsmooth problem with Hopf bifurcation at infinity. Zbl 0963.34034
Diamond, P.; Rachinskii, D.; Yumagulov, M.
9
2000
Sector estimates of nonlinearities and the existence of self-oscillations in control systems. Zbl 1056.34507
Bliman, P.-A.; Krasnosel’skij, A. M.; Rachinskij, D. I.
1
2000
The Hamiltonian nature of Lur’e systems. Zbl 1059.34509
Krasnosel’skij, A. M.; Rachinskij, D. I.
1
2000
Asymptotic stability of large-amplitude oscillations in systems with hysteresis. Zbl 0938.34036
Rachinskii, Dmitrii
3
1999
Hopf bifurcations at infinity, generated by bounded nonlinear terms. Zbl 1057.34033
Krasnosel’skii, A.; Rachinskii, D.
3
1999
Potential bounds in problems on quasilinear elliptic equations. Zbl 0951.35048
Krasnosel’skij, Mark; Mennicken, Reinhard; Rachinskij, Dmitrii
2
1999
Some analytical properties of the multidimensional continuous Mróz model of plasticity. Zbl 0967.74016
Brokate, Martin; Krejčí, Pavel; Rachinskii, Dmitrii
5
1998
Equivalent combinations of stops. Zbl 1123.34312
Rachinskii, D. I.
3
1998
Potential bounds in nonpotential two-point boundary-value problems. Zbl 0887.34015
Krasnosel’ski, Mark; Menniken, Reinhard; Rachinskij, Dmitrij
3
1997
The Cauchy problem for differential equations with a Mroz hysteresis nonlinearity. Zbl 0929.34004
Rachinskij, D. I.
1
1997
On uniqueness of an initial-value problem for ODE with hysteresis. Zbl 0882.34004
Chernorutskij, Vladimir; Rachinskij, Dmitry
1
1997
Multivalent guiding functions in forced oscillation problems. Zbl 0840.34038
Rachinski, D.
4
1996
Forced oscillations in control systems under near-resonance conditions. Zbl 0932.93038
Rachinskij, D. I.
3
1995
On canonical states of continual systems of relays. Zbl 0959.93001
Krasnosel’skii, M.; Mayergoyz, I.; Rachinskii, D.
1
1995
Invariant convex classes of states of continual relay systems. Zbl 0854.93028
Krasnosel’skij, M. A.; Rachinskij, D. I.
1
1994
all top 5

Cited by 173 Authors

35 Rachinskii, Dmitrii I.
8 Balanov, Zalman I.
7 Krasnosel’skiĭ, Aleksandr Markovich
6 Krawcewicz, Wieslaw Z.
6 Krejčí, Pavel
5 Hooton, Edward W.
5 Meleshenko, Peter A.
4 Kornev, Sergeĭ Viktorovich
4 Kravetc, Pavel
4 Semenov, Mikhaĭl Evgen’evich
3 Borzunov, Sergeĭ V.
3 Gurevich, Pavel L.
3 Kuznetsov, Nikolai Aleksandrovich
3 Lamba, Harbir
3 Mennicken, Reinhard
3 Pimenov, Alexander
3 Pokrovskiĭ, Alexeĭ Vadimovich
3 Yumagulov, Marat Gayazovich
2 Begun, Nikita Andreevich
2 Gudoshnikov, Ivan
2 Huan, Songmei
2 Ibragimova, Liliya Sunagatovna
2 Ishchuk, Igor N.
2 Kelly, Thomas C.
2 Kopfová, Jana
2 Korobeinikov, Andrei
2 Makarenkov, Oleg Yuryĭovych
2 Münch, Christian
2 Nekorkin, Vladimir I.
2 Obukhovskiĭ, Valeriĭ Vladimirovich
2 O’Callaghan, Michael J. A.
2 Rouf, Samiha C.
2 Schneider, Klaus R.
2 Sel’vesyuk, N. I.
2 Solovyov, Andrey M.
2 Yang, Xiaosong
1 Abbas, Zainib Hatif
1 Adhikary, Prabir Das
1 Alarcón, Begoña
1 Aleksandrov, Konstantin Dmitrievich
1 Amann, Andreas
1 Andújar, José Manuel
1 Arnold, Maxim
1 Bai, Zhenguo
1 Barragán, Antonio Javier
1 Barrientos, Pablo G.
1 Barsukov, Andrey I.
1 Beaume, Cédric
1 Begishev, R. R.
1 Belova, Anna Sergeevna
1 Benedetti, Irene
1 Bhattacharya, Souvik
1 Boudjellaba, Hafida
1 Bouse, E.
1 Broer, Henk W.
1 Brokate, Martin
1 Chladná, Zuzana
1 Chmykhov, Mikhail A.
1 Church, Kevin E. M.
1 Davino, Daniele
1 De Barros, Laécio Carvalho
1 Diekmann, Odo
1 Dijkstra, Henk A.
1 Dmitriev, Dmitry D.
1 d’Onofrio, Alberto
1 Dos Santos, José Paulo Carvalho
1 Dymarskij, Ya. M.
1 Emelianova, Anastasiia A.
1 Esmi, Estevão Laureano
1 Fomichev, Vasily V.
1 Freire Macías, Emilio
1 Gandhi, Punit
1 García-Azpeitia, Carlos
1 Ghosh, Bapan
1 Giacomelli, Giovanni
1 Gwiazda, Piotr
1 Hanßmann, Heinz
1 Ilin, Andrew V.
1 Imangulova, E. S.
1 Irigoyen, Eloy
1 Jing, Kangkang
1 Kalmár-Nagy, Tamás
1 Kamachkin, Aleksandr Michaĭlovich
1 Keane, Andrew
1 Klawe, Filip Z.
1 Klinshov, Vladimir
1 Knobloch, Edgar
1 Kowalczyk, Piotr
1 Krasnosel’skiĭ, Mark Aleksandrovich
1 Krauskopf, Bernd
1 Kudryashov, Nikolaĭ Alekseevich
1 Kühn, Christian
1 Küpper, Tassilo
1 Kuznetsova, Valentina P.
1 Kwame, Eyram
1 Lani-Wayda, Bernhard
1 Larrea, Mikel
1 Leonov, Gennadiĭ Alekseevich
1 Li, Zhichao
1 Liu, Junli
...and 73 more Authors
all top 5

Cited in 50 Serials

6 Journal of Differential Equations
5 Chaos
5 Discrete and Continuous Dynamical Systems. Series B
4 Journal of Mathematical Biology
4 Automation and Remote Control
4 SIAM Journal on Applied Dynamical Systems
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Theoretical Population Biology
3 Zeitschrift für Analysis und ihre Anwendungen
3 Physica D
3 Journal of Dynamics and Differential Equations
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Differential Equations
3 Mathematical Modelling of Natural Phenomena
2 Journal of Mathematical Analysis and Applications
2 Mathematische Nachrichten
2 Applications of Mathematics
2 Journal of Mathematical Sciences (New York)
2 Communications in Nonlinear Science and Numerical Simulation
2 Nonlinear Analysis. Real World Applications
2 Matematicheskoe Modelirovanie
2 Journal of Theoretical Biology
1 Ukrainian Mathematical Journal
1 Functional Analysis and its Applications
1 Journal of Computational and Applied Mathematics
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Control and Optimization
1 Asymptotic Analysis
1 European Journal of Applied Mathematics
1 Mathematica Bohemica
1 Applied Mathematical Modelling
1 SIAM Journal on Applied Mathematics
1 Indagationes Mathematicae. New Series
1 Russian Mathematics
1 Topological Methods in Nonlinear Analysis
1 Computational and Applied Mathematics
1 Journal of Convex Analysis
1 Complexity
1 Discrete and Continuous Dynamical Systems
1 Doklady Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Communications in Contemporary Mathematics
1 Dynamical Systems
1 Communications on Pure and Applied Analysis
1 Mathematical Biosciences and Engineering
1 Journal of Biological Dynamics
1 Journal of Fixed Point Theory and Applications
1 Journal of Physics A: Mathematical and Theoretical
1 Science China. Technological Sciences
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

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