Edit Profile (opens in new tab) Rachinskii, Dmitrii I. Compute Distance To: Compute Author ID: 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. more...less 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 all top 5 Fields 82 Ordinary differential equations (34-XX) 32 Operator theory (47-XX) 27 Dynamical systems and ergodic theory (37-XX) 17 Systems theory; control (93-XX) 11 Partial differential equations (35-XX) 11 Biology and other natural sciences (92-XX) 10 Mechanics of deformable solids (74-XX) 5 General and overarching topics; collections (00-XX) 4 Integral equations (45-XX) 4 Numerical analysis (65-XX) 4 Optics, electromagnetic theory (78-XX) 3 History and biography (01-XX) 3 Difference and functional equations (39-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Real functions (26-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Functional analysis (46-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications 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 1316.92088Pimenov, 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 0963.34034Diamond, P.; Rachinskii, D.; Yumagulov, M. 9 2000 Differential equations with hysteresis via a canonical example. Zbl 1142.34026Brokate, Martin; Pokrovskii, Alexej; Rachinskii, Dmitrii; Rasskazov, Oleg 9 2006 On a bifurcation governed by hysteresis nonlinearity. Zbl 1013.34036Krasnosel’skii, Alexander; Rachinskii, Dmitrii 7 2002 On the Hopf bifurcation in control systems with a bounded nonlinearity asymptotically homogeneous at infinity. Zbl 0984.34029Diamond, P.; Kuznetsov, N.; Rachinskii, D. 7 2001 Asymptotic stability of continuum sets of periodic solutions to systems with hysteresis. Zbl 1111.34035Brokate, M.; Pokrovskii, A.; Rachinskii, D. 6 2006 Linear stability analysis of systems with Preisach memory. Zbl 1181.47075Pimenov, Alexander; Rachinskii, Dmitrii 6 2009 Hopf bifurcation in symmetric networks of coupled oscillators with hysteresis. Zbl 1264.34093Balanov, Z.; Krawcewicz, W.; Rachinskii, D.; Zhezherun, A. 6 2012 On the existence of cycles in autonomous systems. Zbl 1197.34060Krasnosel’skii, A. M.; Rachinskii, D. I. 6 2002 The Kurzweil integral in financial market modeling. Zbl 1389.34140Krejčí, Pavel; Lamba, Harbir; Monteiro, Giselle Antunes; Rachinskii, Dmitrii 5 2016 Some analytical properties of the multidimensional continuous Mróz model of plasticity. Zbl 0967.74016Brokate, Martin; Krejčí, Pavel; Rachinskii, Dmitrii 5 1998 Dynamics of discrete time systems with a hysteresis stop operator. Zbl 1361.37076Arnold, 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 1276.34075Nizette, Michel; Rachinskii, Dmitrii; Vladimirov, Andrei; Wolfrum, Matthias 5 2006 Adaptive behaviour and multiple equilibrium states in a predator-prey model. Zbl 1314.92140Pimenov, Alexander; Kelly, Thomas C.; Korobeinikov, Andrei; O’Callaghan, Michael J. A.; Rachinskii, Dmitrii 5 2015 Dynamic Hopf bifurcations generated by nonlinear terms. Zbl 1070.34065Rachinskii, D.; Schneider, K. R. 5 2005 Convergence of direct recursive algorithm for identification of Preisach hysteresis model with stochastic input. Zbl 1341.93092Rachinskii, D.; Ruderman, M. 4 2016 Multivalent guiding functions in forced oscillation problems. Zbl 0840.34038Rachinski, D. 4 1996 Kurzweil integral representation of interacting Prandtl-Ishlinskii operators. Zbl 1335.47043Krejčí, 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 1286.37074O’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 1010.34031Krasnosel’skij, Alexander; Mennicken, Reinhard; Rachinskij, Dmitrij 3 2002 Realization of arbitrary hysteresis by a low-dimensional gradient flow. Zbl 1330.34074Rachinskii, Dmitrii 3 2016 Forced oscillations in control systems under near-resonance conditions. Zbl 0932.93038Rachinskij, D. I. 3 1995 Asymptotic stability of large-amplitude oscillations in systems with hysteresis. Zbl 0938.34036Rachinskii, Dmitrii 3 1999 Potential bounds in nonpotential two-point boundary-value problems. Zbl 0887.34015Krasnosel’ski, Mark; Menniken, Reinhard; Rachinskij, Dmitrij 3 1997 Equivalent combinations of stops. Zbl 1123.34312Rachinskii, D. I. 3 1998 Noninvasive stabilization of periodic orbits in \(O_4\)-symmetrically coupled systems near a Hopf bifurcation point. Zbl 1370.34119Hooton, Edward; Balanov, Zalman; Krawcewicz, Wieslaw; Rachinskii, Dmitrii 3 2017 Sliding Hopf bifurcation in interval systems. Zbl 1360.37125Hooton, Edward; Balanov, Zalman; Krawcewicz, Wieslaw; Rachinskii, Dmitrii 3 2017 Well-posedness of parabolic equations containing hysteresis with diffusive thresholds. Zbl 1288.35277Gurevich, Pavel; Rachinskii, Dmitrii 3 2013 Hopf bifurcations at infinity, generated by bounded nonlinear terms. Zbl 1057.34033Krasnosel’skii, A.; Rachinskii, D. 3 1999 On geometric conditions for reduction of the Moreau sweeping process to the Prandtl-Ishlinskii operator. Zbl 1404.74026Rachinskii, Dmitrii 3 2018 Global dynamics of SIR model with switched transmission rate. Zbl 1440.34044Chladná, Zuzana; Kopfová, Jana; Rachinskii, Dmitrii; Rouf, Samiha C. 3 2020 Potential bounds in problems on quasilinear elliptic equations. Zbl 0951.35048Krasnosel’skij, Mark; Mennicken, Reinhard; Rachinskij, Dmitrii 2 1999 Andronov-Hopf bifurcation in systems with Preisach operator. Zbl 1186.34061Zhezherun, A. A.; Kuznetsov, N. A.; Rachinskii, D. I. 2 2008 Hopf bifurcations in resonance 2:1. Zbl 1035.34027Krasnosel’skii, A. M.; Rachinskii, D. I.; Schneider, K. R. 2 2003 Dynamics of systems with Preisach memory near equilibria. Zbl 1340.34163McCarthy, Stephen; Rachinskii, Dmitrii 2 2014 Homoclinic orbits in a two-patch predator-prey model with Preisach hysteresis operator. Zbl 1349.47141Pimenov, Alexander; Rachinskii, Dmitrii 2 2014 On the number of unbounded solution branches in a neighborhood of an asymptotic bifurcation point. Zbl 1128.47055Krasnosel’skii, A. M.; Rachinskii, D. I. 2 2005 Topological degree in analysis of canard-type trajectories in 3-D systems. Zbl 1236.34084Pokrovskii, A.; Rachinskii, D.; Sobolev, V.; Zhezherun, A. 2 2011 On resonant differential equations with unbounded non-linearities. Zbl 1025.34032Krasnosel’skij, A. M.; Kuznetsov, N. A.; Rachinskij, D. I. 2 2002 Pattern formation in parabolic equations containing hysteresis with diffusive thresholds. Zbl 1307.35039Gurevich, Pavel; Rachinskii, Dmitrii 2 2015 Delayed loss of stability in systems with degenerate linear parts. Zbl 1051.34042Rachinskij, D.; Schneider, K. R. 2 2003 Memory and adaptive behavior in population dynamics: anti-predator behavior as a case study. Zbl 1373.92109Pimenov, 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 1071.34045Rachinskij, D. I. 2 2003 Mixed global dynamics of forced vibro-impact oscillator with Coulomb friction. Zbl 1427.34061Gendelman, Oleg; Kravetc, Pavel; Rachinskii, Dmitrii 2 2019 On bifurcation of large-amplitude stable cycles for equations with hysteresis. Zbl 1086.34042Rachinskii, D. I. 1 2004 Robust homoclinic orbits in planar systems with Preisach hysteresis operator. Zbl 1344.37027Pimenov, Alexander; Rachinskii, Dmitrii 1 2016 On canonical states of continual systems of relays. Zbl 0959.93001Krasnosel’skii, M.; Mayergoyz, I.; Rachinskii, D. 1 1995 Invariant convex classes of states of continual relay systems. Zbl 0854.93028Krasnosel’skij, M. A.; Rachinskij, D. I. 1 1994 On global stability of the scalar Chaboche models. Zbl 1101.34032Brokate, M.; Rachinskii, D. 1 2005 Effect of positive feedback on Devil’s staircase input-output relationship. Zbl 1258.93063Pokrovskii, Alexei; Rachinskii, Dmitrii 1 2013 Small periodic solutions generated by sublinear terms. Zbl 1001.34032Krasnosel’skii, Alexander M.; Mennicken, Reinhard; Rachinskii, Dmitrii I. 1 2002 The Cauchy problem for differential equations with a Mroz hysteresis nonlinearity. Zbl 0929.34004Rachinskij, D. I. 1 1997 On uniqueness of an initial-value problem for ODE with hysteresis. Zbl 0882.34004Chernorutskij, Vladimir; Rachinskij, Dmitry 1 1997 Remark on the Hopf bifurcation theorem. Zbl 1062.34043Krasnosel’skii, A. M.; Rachinskii, D. I. 1 2004 Sector estimates of nonlinearities and the existence of self-oscillations in control systems. Zbl 1056.34507Bliman, P.-A.; Krasnosel’skij, A. M.; Rachinskij, D. I. 1 2000 The Hamiltonian nature of Lur’e systems. Zbl 1059.34509Krasnosel’skij, A. M.; Rachinskij, D. I. 1 2000 Periodic canard trajectories with multiple segments following the unstable part of critical manifold. Zbl 1275.34080Krasnosel’skii, Alexander M.; O’Grady, Edward; Pokrovskii, Alexei V.; Rachinskii, Dmitrii I. 1 2013 Existence of continua of cycles in Hamiltonian control systems. Zbl 1092.93543Krasnosel’skiĭ, A. M.; Rachinskiĭ, D. I. 1 2001 On a nonlocal condition for existence of cycles of hysteresis systems. Zbl 1071.34044Krasnosel’skij, A. M.; Rachinskij, D. I. 1 2003 Continua of cycles of higher-order equations. Zbl 1082.34028Krasnosel’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 1397.34121Balanov, Zalman; Kravetc, Pavel; Krawcewicz, Wieslaw; Rachinskii, Dmitrii 1 2018 Mechanism of synchronization in frequency dividers. Zbl 1468.94509Amann, Andreas; Mortell, Michael Philip; O’Reilly, Eoin P.; Quinlan, Michael; Rachinskii, Dmitrii 1 2009 Global dynamics of SIR model with switched transmission rate. Zbl 1440.34044Chladná, Zuzana; Kopfová, Jana; Rachinskii, Dmitrii; Rouf, Samiha C. 3 2020 Mixed global dynamics of forced vibro-impact oscillator with Coulomb friction. Zbl 1427.34061Gendelman, Oleg; Kravetc, Pavel; Rachinskii, Dmitrii 2 2019 On geometric conditions for reduction of the Moreau sweeping process to the Prandtl-Ishlinskii operator. Zbl 1404.74026Rachinskii, Dmitrii 3 2018 Equivariant degree method for analysis of Hopf bifurcation of relative periodic solutions: case study of a ring of oscillators. Zbl 1397.34121Balanov, Zalman; Kravetc, Pavel; Krawcewicz, Wieslaw; Rachinskii, Dmitrii 1 2018 Dynamics of discrete time systems with a hysteresis stop operator. Zbl 1361.37076Arnold, 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 1370.34119Hooton, Edward; Balanov, Zalman; Krawcewicz, Wieslaw; Rachinskii, Dmitrii 3 2017 Sliding Hopf bifurcation in interval systems. Zbl 1360.37125Hooton, Edward; Balanov, Zalman; Krawcewicz, Wieslaw; Rachinskii, Dmitrii 3 2017 Memory and adaptive behavior in population dynamics: anti-predator behavior as a case study. Zbl 1373.92109Pimenov, Alexander; Kelly, Thomas C.; Korobeinikov, Andrei; O’Callaghan, Michael J.; Rachinskii, Dmitrii 2 2017 The Kurzweil integral in financial market modeling. Zbl 1389.34140Krejčí, 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 1341.93092Rachinskii, D.; Ruderman, M. 4 2016 Realization of arbitrary hysteresis by a low-dimensional gradient flow. Zbl 1330.34074Rachinskii, Dmitrii 3 2016 Robust homoclinic orbits in planar systems with Preisach hysteresis operator. Zbl 1344.37027Pimenov, Alexander; Rachinskii, Dmitrii 1 2016 Adaptive behaviour and multiple equilibrium states in a predator-prey model. Zbl 1314.92140Pimenov, Alexander; Kelly, Thomas C.; Korobeinikov, Andrei; O’Callaghan, Michael J. A.; Rachinskii, Dmitrii 5 2015 Kurzweil integral representation of interacting Prandtl-Ishlinskii operators. Zbl 1335.47043Krejčí, Pavel; Lamba, Harbir; Melnik, Sergey; Rachinskii, Dmitrii 4 2015 Pattern formation in parabolic equations containing hysteresis with diffusive thresholds. Zbl 1307.35039Gurevich, Pavel; Rachinskii, Dmitrii 2 2015 Dynamics of systems with Preisach memory near equilibria. Zbl 1340.34163McCarthy, Stephen; Rachinskii, Dmitrii 2 2014 Homoclinic orbits in a two-patch predator-prey model with Preisach hysteresis operator. Zbl 1349.47141Pimenov, Alexander; Rachinskii, Dmitrii 2 2014 Chaos in a seasonally perturbed SIR model: avian influenza in a seabird colony as a paradigm. Zbl 1286.37074O’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 1288.35277Gurevich, Pavel; Rachinskii, Dmitrii 3 2013 Effect of positive feedback on Devil’s staircase input-output relationship. Zbl 1258.93063Pokrovskii, Alexei; Rachinskii, Dmitrii 1 2013 Periodic canard trajectories with multiple segments following the unstable part of critical manifold. Zbl 1275.34080Krasnosel’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 1316.92088Pimenov, 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 1264.34093Balanov, Z.; Krawcewicz, W.; Rachinskii, D.; Zhezherun, A. 6 2012 Topological degree in analysis of canard-type trajectories in 3-D systems. Zbl 1236.34084Pokrovskii, A.; Rachinskii, D.; Sobolev, V.; Zhezherun, A. 2 2011 Linear stability analysis of systems with Preisach memory. Zbl 1181.47075Pimenov, Alexander; Rachinskii, Dmitrii 6 2009 Mechanism of synchronization in frequency dividers. Zbl 1468.94509Amann, Andreas; Mortell, Michael Philip; O’Reilly, Eoin P.; Quinlan, Michael; Rachinskii, Dmitrii 1 2009 Andronov-Hopf bifurcation in systems with Preisach operator. Zbl 1186.34061Zhezherun, A. A.; Kuznetsov, N. A.; Rachinskii, D. I. 2 2008 Differential equations with hysteresis via a canonical example. Zbl 1142.34026Brokate, Martin; Pokrovskii, Alexej; Rachinskii, Dmitrii; Rasskazov, Oleg 9 2006 Asymptotic stability of continuum sets of periodic solutions to systems with hysteresis. Zbl 1111.34035Brokate, M.; Pokrovskii, A.; Rachinskii, D. 6 2006 Pulse interaction via gain and loss dynamics in passive mode locking. Zbl 1276.34075Nizette, Michel; Rachinskii, Dmitrii; Vladimirov, Andrei; Wolfrum, Matthias 5 2006 Dynamic Hopf bifurcations generated by nonlinear terms. Zbl 1070.34065Rachinskii, D.; Schneider, K. R. 5 2005 On the number of unbounded solution branches in a neighborhood of an asymptotic bifurcation point. Zbl 1128.47055Krasnosel’skii, A. M.; Rachinskii, D. I. 2 2005 On global stability of the scalar Chaboche models. Zbl 1101.34032Brokate, M.; Rachinskii, D. 1 2005 On bifurcation of large-amplitude stable cycles for equations with hysteresis. Zbl 1086.34042Rachinskii, D. I. 1 2004 Remark on the Hopf bifurcation theorem. Zbl 1062.34043Krasnosel’skii, A. M.; Rachinskii, D. I. 1 2004 Hopf bifurcations in resonance 2:1. Zbl 1035.34027Krasnosel’skii, A. M.; Rachinskii, D. I.; Schneider, K. R. 2 2003 Delayed loss of stability in systems with degenerate linear parts. Zbl 1051.34042Rachinskij, D.; Schneider, K. R. 2 2003 On natural continua of periodic solutions of the systems with hysteresis. Zbl 1071.34045Rachinskij, D. I. 2 2003 On a nonlocal condition for existence of cycles of hysteresis systems. Zbl 1071.34044Krasnosel’skij, A. M.; Rachinskij, D. I. 1 2003 Continua of cycles of higher-order equations. Zbl 1082.34028Krasnosel’skiĭ, A. M.; Rachinskiĭ, D. I. 1 2003 On a bifurcation governed by hysteresis nonlinearity. Zbl 1013.34036Krasnosel’skii, Alexander; Rachinskii, Dmitrii 7 2002 On the existence of cycles in autonomous systems. Zbl 1197.34060Krasnosel’skii, A. M.; Rachinskii, D. I. 6 2002 Cycle stability for Hopf bifurcation generated by sublinear terms. Zbl 1010.34031Krasnosel’skij, Alexander; Mennicken, Reinhard; Rachinskij, Dmitrij 3 2002 On resonant differential equations with unbounded non-linearities. Zbl 1025.34032Krasnosel’skij, A. M.; Kuznetsov, N. A.; Rachinskij, D. I. 2 2002 Small periodic solutions generated by sublinear terms. Zbl 1001.34032Krasnosel’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 0984.34029Diamond, P.; Kuznetsov, N.; Rachinskii, D. 7 2001 Existence of continua of cycles in Hamiltonian control systems. Zbl 1092.93543Krasnosel’skiĭ, A. M.; Rachinskiĭ, D. I. 1 2001 Stability of large cycles in a nonsmooth problem with Hopf bifurcation at infinity. Zbl 0963.34034Diamond, P.; Rachinskii, D.; Yumagulov, M. 9 2000 Sector estimates of nonlinearities and the existence of self-oscillations in control systems. Zbl 1056.34507Bliman, P.-A.; Krasnosel’skij, A. M.; Rachinskij, D. I. 1 2000 The Hamiltonian nature of Lur’e systems. Zbl 1059.34509Krasnosel’skij, A. M.; Rachinskij, D. I. 1 2000 Asymptotic stability of large-amplitude oscillations in systems with hysteresis. Zbl 0938.34036Rachinskii, Dmitrii 3 1999 Hopf bifurcations at infinity, generated by bounded nonlinear terms. Zbl 1057.34033Krasnosel’skii, A.; Rachinskii, D. 3 1999 Potential bounds in problems on quasilinear elliptic equations. Zbl 0951.35048Krasnosel’skij, Mark; Mennicken, Reinhard; Rachinskij, Dmitrii 2 1999 Some analytical properties of the multidimensional continuous Mróz model of plasticity. Zbl 0967.74016Brokate, Martin; Krejčí, Pavel; Rachinskii, Dmitrii 5 1998 Equivalent combinations of stops. Zbl 1123.34312Rachinskii, D. I. 3 1998 Potential bounds in nonpotential two-point boundary-value problems. Zbl 0887.34015Krasnosel’ski, Mark; Menniken, Reinhard; Rachinskij, Dmitrij 3 1997 The Cauchy problem for differential equations with a Mroz hysteresis nonlinearity. Zbl 0929.34004Rachinskij, D. I. 1 1997 On uniqueness of an initial-value problem for ODE with hysteresis. Zbl 0882.34004Chernorutskij, Vladimir; Rachinskij, Dmitry 1 1997 Multivalent guiding functions in forced oscillation problems. Zbl 0840.34038Rachinski, D. 4 1996 Forced oscillations in control systems under near-resonance conditions. Zbl 0932.93038Rachinskij, D. I. 3 1995 On canonical states of continual systems of relays. Zbl 0959.93001Krasnosel’skii, M.; Mayergoyz, I.; Rachinskii, D. 1 1995 Invariant convex classes of states of continual relay systems. Zbl 0854.93028Krasnosel’skij, M. A.; Rachinskij, D. I. 1 1994 all cited Publications top 5 cited Publications 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 all top 5 Cited in 22 Fields 67 Ordinary differential equations (34-XX) 26 Dynamical systems and ergodic theory (37-XX) 21 Biology and other natural sciences (92-XX) 16 Operator theory (47-XX) 12 Partial differential equations (35-XX) 12 Systems theory; control (93-XX) 7 Mechanics of deformable solids (74-XX) 4 Mechanics of particles and systems (70-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year