LIST OF SELECTED PUBLICATIONS
Alexander Krasnosel'skii

  1. Krasnosel'skii A.M.
    Remarks on fixed points of monotonous operators,
    Uspekhi Mat. Nauk, 32, 6 (1977) 257-258 [Russian]

  2. Krasnosel'skii A.M.
    A priori estimates of the norms of solutions of scalar inequalities,
    Soviet Math. Dokl., 19, 6 (1978) 1481-1485

  3. Krasnosel'skii A.M.
    New a priori estimates of two-point boundary problem solutions and its applications,
    Sibirskii Math. Journal, 21, 1 (1980) 115-124 [Russian]

  4. Krasnosel'skii A.M.
    Frequency criteria in the problem on forced oscillations in control systems,
    Automation and Remote Control, 41, 9 (1981) 1203-1209

  5. Krasnosel'skii M.A., Kozyakin V.S., Krasnosel'skii A.M., Pokrovskii A.V.
    On dynamics of regulation system with number of nonlinearities,
    Proc. 2nd International Conference on Differential Equations, Russe, Bulgaria, 1 (1982) 366-376 [Russian]

  6. Krasnosel'skii A.M., Yumagulov M.G.
    Bifurcation values of parameters in problem on forced oscillations in automated regulation systems,
    Dokl. Acad. Nauk Tajik SSR, 11 (1983) 679-682 [Russian]

  7. Krasnosel'skii A.M.
    Forced periodic oscillations in complex nonlinear system,
    Automation and Remote Control, 44, 10 (1984) 1301-1306

  8. Krasnosel'skii A.M.
    On problem on forced oscillations in nonlinear control systems,
    Engnrg Cybernetics, 22, 5, 92-99 (1984)

  9. Krasnosel'skii A.M.
    Forced periodic oscillations in nonlinear systems,
    Soviet Phys. Dokl., 29, 6 (1984) 438-440

  10. Krasnosel'skii A.M., Petrov D.I.
    On periodic oscillations in regulation systems with delays,
    Avtomatika i telemekhanika, 6 (1984) 169-171 [Russian]

  11. Krasnosel'skii A.M.
    On periodic regimes in systems, described by equations of second order with delay,
    ``Heterogeneous system dynamics'', Moscow, Inst. for System Study (1984) 156-162 [Russian]

  12. Krasnosel'skii A.M., Krasnosel'skii M.A., Pokrovskii A.V.
    On application of guiding potential method to systems with hysteresis,
    ``Heterogeneous system dynamics'', Moscow, Inst. for System Study (1984) 162-167 [Russian]

  13. Krasnosel'skii A.M., Krasnosel'skii M.A.
    Large-amplitude cycles in autonomous systems with hysteresis,
    Soviet Math. Dokl., 32, 1 (1985) 14-17

  14. Krasnosel'skii A.M.
    One-side estimates in the problem of forced oscillations in nonlinear control systems,
    Soviet Math. Dokl., 32, 1 (1985) 74-77

  15. Krasnosel'skii A.M.
    Nonlocal theorems on forced oscillations in control systems,
    Proc. X International conf. on nonlinear oscillation (ICNO), Varna-Sofia, Bulg. Acad. Nauk, Bulgaria, (1985) 340-343 [Russian]

  16. Krasnosel'skii A.M., Dement'eva A.M.
    On approximate solutions of some class of linear systems,
    ``Heterogeneous system dynamics'', Moscow, Inst. for System Study, (1985) 146-148 [Russian]

  17. Krasnosel'skii A.M.
    One-side estimates in problems on forced periodic oscillations in multicontour systems,
    ``Heterogeneous system dynamics'', Moscow, Inst. for System Study, (1985) 27-32 [Russian]

  18. Krasnosel'skii A.M.
    On stability of desynchronized multicomponent systems,
    Avtomatika i telemekhanika, 11 (1985) 170-171 [Russian]

  19. Krasnosel'skii A.M.
    On some class of linear links with rational fractional transfer functions,
    Avtomatika i telemekhanika, 11 (1986) 166-170 [Russian]

  20. Bobylev N.A., Boltyanskii V.G., Krasnosel'skii A.M. and colleagues
    Mathematical system theory,
    monograph, Moscow, Nauka, 1986, 1-253 [Russian]

  21. Krasnosel'skii A.M.
    New theorems on forced periodic oscillations in nonlinear control systems,
    Appl. Math. & Mech., 50, 2 (1987) 165-170

  22. Grachev N.A., Dement'eva A.M., Krasnosel'skii A.M., Petrov D.I.
    Remarks on harmonic balance method in problem of forced oscillations in multilinked systems,
    ``Heterogeneous system dynamics'', Moscow, Inst. for System Study, 6 (1987) 68-71 [Russian]

  23. Bobylev N.A., Krasnosel'skii A.M., Krasnosel'skii M.A., Pokrovskii A.V., Vladimirov A.A.
    Functional analysis and dynamics of nonlinear control systems,
    Proc. X World congr. IFAC, Munich, Germany (1987) 112-117.
    Selected Papers from 10th Triennal World Congress of the IFAC-1987, Munich, West Germany. Oxford, UK: Pergamon, 8 (1988) 11-15

  24. Krasnosel'skii A.M.
    Boundary problems for equations at resonance,
    Proc. 3d International Conf. on Diff. Equ., Ruse, Bulgaria, 1 (1987) 207-210 [Russian]

  25. Krasnosel'skii A.M.
    Forced oscillations in system with hysteresis nonlinearities,
    Dokl. Acad. Nauk SSSR, 292, 5 (1987) 1078-1082 [Russian]

  26. Krasnosel'skii A.M.
    Directional corrections in harmonic balance method,
    Sov. Phys. Dokl., 32, 6 (1988) 441-443

  27. Krasnosel'skii A.M.
    Conditions of applicability of Fredholm theorems in analysis of forced oscillations in nonlinear control systems,
    Avtomatika i telemekhanika, 3 (1988) 162-164 [Russian]

  28. Bobylev N.A., Krasnosel'skii A.M., Krasnosel'skii M.A.
    Stability of periodic oscillations and the possibility of obtaining them by the method of harmonic balance,
    Avtomatika i telemekhanika, 5 (1989) 179-181 [Russian]

  29. Krasnosel'skii A.M., Dement'eva A.M., Yumagulov M.G.
    Periodic problem operator for a first order equation,
    Dokl. Acad. Nauk Tajik SSR, 12 (1989) 802-805 [Russian]

  30. Bobylev N.A., Krasnosel'skii A.M., Krasnosel'skii M.A., Pokrovskii A.V.
    On some new ideas in nonlinear analysis,
    ``Nonlinear boundary problems'', Kiev, 1 (1989) 22-26

  31. Krasnosel'skii A.M., Dement'eva A.M., Yumagulov M.G.
    On approximate construction of periodic solutions of first order nonlinear equation,
    Dokl. Acad. Nauk Tajik SSR, 3 (1990) 712-715 [Russian]

  32. Krasnosel'skii A.M. and colleagues
    The new results in the theory of periodic oscillation in nonlinear control systems,
    Proc. XI World Congr. IFAC, Tallinn, 6 (1990) 50-55

  33. Krasnosel'skii A.M.
    Joint norm of operators and the study of nonlinear problems,
    Ukrainian Math. J., 42, 12 (1990) 1442-1452

  34. Krasnosel'skii A.M.
    On a method of analysis of resonance problems,
    Nonlinear Analysis, Theory, Methods & Applications, 16, 4 (1991) 321-345

  35. Krasnosel'skii A.M., Krasnosel'skii M.A.
    On some class of equations with potential operators,
    Note di Mat., Note di Mat., Italy, XI (1991) 237-245

  36. Krasnosel'skii A.M., Appell J.
    New theorems on asymptotic bifurcation point,
    Nonlinear Analysis, Theory, Methods & Applications, 18 (1992) 269-276

  37. Krasnosel'skii A.M.
    Large-amplitude oscillations in systems with saturation,
    Sov. Phys. Dokl., 32, 6 (1992) 419-421

  38. Krasnosel'skii A.M.
    Asymptotics of nonlinearities and operator equations, monograph, Moscow, Nauka, 1992 [Russian]
    English translation in: ser. "Operator Theory", vol. 76, Birkhauser, 1995

  39. Krasnosel'skii A.M.
    On bifurcation points of equations with Landesman-Lazer type nonlinearities,
    Nonlinear Analysis. Theory, Methods & Applications, 18, 12 (1992) 1187-1199

  40. Krasnosel'skii A.M., Krasnosel'skii M.A., Kuznetsov N.A.
    Nonlinear systems with incomplete corrections and their stability,
    Sov. Phys. Dokl., 36, 5 (1992) 356-357

  41. Krasnosel'skii A.M., Krasnosel'skii M.A., Mawhin J.
    On some conditions of existence of forced periodic oscillations,
    Differential and Integral Equations, 5, 6 (1992) 1267-1273

  42. Krasnosel'skii A.M., Mawhin J.
    Remark on some type of bifurcation at infinity,
    Bull. de la Classe des Sci, Ac. Roy. de Belgique, III, 12 (1992) 293-297

  43. Krasnosel'skii A.M.
    On algebraic number of solutions of systems with Landesman-Lazer type nonlinearities,
    Adv. Math. Sci. & Appl., 2, 2 (1993) 391-395

  44. Krasnoselskii A.M.
    On nonlinear resonance in systems with hysteresis,
    ``Models in Hysteresis'', ed. A.Visintin, Pitman Res. Notes in Math. Ser., 286, Longman Sci. & Tech. (1993) 71-76

  45. Bobylev N.A., Dement'eva A.M., Krasnosel'skii A.M.
    On Poincare index in problems of optimization and control,
    Automation and Remote Control, 55, 2 (1994) 172-177

  46. Krasnosel'skii A.M., Krasnosel'skii M.A., Mawhin J., Pokrovskii A.V.
    Generalized guiding functions in a problem on high frequency forced oscillations,
    Nonlinear Analysis. Theory, Methods & Applications, 22, 2 (1994) 1357-1372

  47. Eirola T., Krasnosel'skii A.M., Krasnosel'skii M.A., Kuznetsov N.A., Nevanlinna~O.
    Incomplete corrections for linear systems with self-adjoint operators,
    Sov. Phys. Dokl., 39, 11 (1994)

  48. Krasnosel'skii A.M.
    Nonresonance sectoral estimates in problems of forced oscillations in control systems,
    Automation and Remote Control, 55, 12 (1994) 1740-1744

  49. Krasnosel'skii A.M., Mawhin J.
    The index at infinity of some twice degenerate compact vector fields,
    Discrete and Continuous Dynamical Systems, 1, 2 (1995) 207-216

  50. Krasnosel'skii A.M., Mawhin J.
    On some higher order boundary value problems at resonance,
    Nonlinear Analysis. Theory, Methods & Applications, 24, 8 (1995) 1141-1148

  51. Krasnosel'skii A.M.
    On nonlinear resonance in systems with delays,
    Automation and Remote Control, 56, 2 (1995) 160-166

  52. Eirola T., Krasnosel'skii A.M., Krasnosel'skii M.A., Kuznetsov N.A., Nevanlinna~O.
    Stability of systems with incomplete corrections,
    Nonlinear Analysis. Theory, Methods & Applications, 25, 7 (1995) 717-728

  53. Krasnosel'skii A.M., Sorine M.
    Discrete asinchronous iterations,
    Automation and Remote Control, 56, 11 (1995) 1557-1564

  54. Krasnosel'skii A.M., Krasnosel'skii M.A., Mawhin J.
    Differential inequalities in problems on forced nonlinear oscillations,
    Nonlinear Analysis. Theory, Methods & Applications, 24, 9-10 (1995) 1029-1036

  55. Bliman P.A., Krasnosel'skii A.M., Sorine M.
    Dither in systems with hysteresis,
    Res. Raport INRIA, 2690 (1995) 1-40

  56. Bliman P.A., Krasnosel'skii A.M., Sorine M., Vladimirov A.A.
    Forced oscillations in control systems with hysteresis,
    Doklady Mathematics, 53, 2 (1996) 312-315

  57. Bliman P.A., Krasnosel'skii A.M., Sorine M., Vladimirov A.A.
    Nonlinear resonance in systems with hysteresis,
    Nonlinear Analysis. Theory, Methods & Applications, 27, 5 (1996) 561-577

  58. Krasnosel'skii A.M.
    Asymptotic homogeneity of hysteresis operators,
    Zeitschrift fuer Angewandte Mathematik und Mechanik (ZAMM), 76, 2 (1996) 313-316

  59. Krasnosel'skii A.M.
    On forced oscillations in systems with even functional unbounded characteristics,
    Automation and Remote Control, 58, 2, part 1 (1997) 27-36

  60. Krasnosel'skii A.M., Krasnosel'skii M.A.
    Vector fields in a product of spaces and applications to differential equations,
    Differential equations, 33, 1 (1997) 59-66

  61. Bliman P.-A., Krasnosel'skii A.M
    Periodic solutions of linear systems coupled with relay,
    Nonlinear Analysis, Theory, Methods & Applications, 30, 2 (1997) 687-696

  62. Krasnosel'skii A.M. and colleagues
    Mark Alexandrovich Krasnosel'skii, obituary,
    Journal of Applied Mathematics and Stochastic Analysis, 10, 2 (1997) 119-126

  63. Bobylev N.A., Kloeden P., Kozyakin V.S., Krasnosel'skii A.M., Pokrovskii A.V., Sadovskii B.S.
    In Memomriam Mark A.Krasnosel'skii,
    Mitteilungen der Gesellschaft f"ur Angewandte Math. and Mech., 20, 1 (1997) 13-14

  64. Krasnosel'skii A.M., Krasnosel'skii M.A., Pokrovskii A.V.
    Hysteresis, Hysteron, Non-ideal relay,
    Encyclopaedia of Mathematics, Supplement Volume I, Editor-in-Chief: Prof. Dr. M. Hazewinkel, Kluwer Acad. Publ. (1997) pp.310, 384

  65. Diamond P., Kloeden P.E., Krasnosel'skii A.M., Pokrovskii A.V.
    Bifurcations at infinity for equations in spaces of vector-valued functions,
    Journal of Australian Mathematical Society, Series A, 63 (1997) 263-280

  66. Bliman P.A., Krasnosel'skii A.M.
    Popov-like frequency criterion for existence of forced periodic oscillations
    Proceedings of the 37th IEEE Conference on Decision and Control, Tampa, Florida, TM 12-7 (1998) 2467-2472

  67. Bliman P.A., Krasnosel'skii A.M.
    Popov criterion and forced periodic oscillations,
    Automation and Remote Control, 59, 4, part 1 (1998) 457-466

  68. Krasnosel'skii A.M., Rachinskii D.I.
    Numerical series,
    student manual, State Jewish Academy, 1998, 1-22 [Russian]

  69. Krasnosel'skii A.M., Rachinskii D.I.
    Numerical sequence limit,
    student manual, State Jewish Academy, 1998, 1-24 [Russian]

  70. Krasnosel'skii A.M., Mawhin J.
    Equations with sequences of solutions
    Modern methods in BVP, proceedings of the 10th Pontryagin conference, Voronezh, 1988, p.112 [Russian]

  71. Kloeden P., Krasnosel'skii A.M.
    Twice degenerate equations in the spaces of vector-valued functions,
    Arab. J. Math. Sci. 4, 1 (1998) 1-28

  72. Bliman P.-A., Krasnosel'skii A.M.
    An extension of Popov criterion to multivariable time-varying nonlinear systems.
    Application to criterion for existence of stable limit cycles,

    Res. Raport INRIA no. 3512 (1998) 1-19

  73. Krasnosel'skii A.M.
    On oscillations in resonant equations with complex nonlinearities,
    Proceedings of the 7th IEEE Mediterranean Conference on Control and Automation (MED99), Israel (1999) 1231-1243

  74. Krasnosel'skii A.M.
    Unbounded sequences of cycles in autonomous control systems,
    Automation and Remote Control, 60, 8, part 1 (1999) 1117-1125

  75. Krasnosel'skii A.M., Chernorutskii V.V.
    Hopf bifurcations from equilibrium, generated by small nonlinear terms,
    Automation and Remote Control, 60, 9, part 1 (1999) 1237-1242

  76. Krasnosel'skii A.M., Rachinskii D.I.
    Hopf bifurcations from infinity, generated by bounded nonlinear terms,
    Functional Differential Equations, 6, 3-4 (1999) 357-374

  77. Bliman P.-A., Krasnosel'skii A.M.
    Popov absolute stability criterion for time-varying multivariable nonlinear systems,
    Proceedings of European Control Conference, Germany, Karlsruhe, #F888, 1-6, (1999)

  78. Krasnosel'skii A.M., Mennicken R., Rachinskii D.I.
    Hopf bifurcation generated by small nonlinear terms,
    Zeitschrift fuer Angewandte Mathematik und Mechanik (ZAMM), 80, S2 (2000) 289-290

  79. Krasnosel'skii A.M., Mawhin J.
    The index at infinity for some vector fields with oscillating nonlinearities,
    Discrete and Continuous Dynamical Systems, 6, 1 (2000) 165-174

  80. Kloeden P., Krasnosel'skii A.M.
    Oscillations in systems with asymptotically even nonlinearities,
    Journal of Applied Mathematics and Stochastic Analysis 13 (2000) 41-50

  81. Krasnosel'skii A.M., Rachinskii D.I.
    Continua of Cycles in Hamiltonian Control Systems,
    Institute for Nonlinear Sciences, National University of Ireland, University College, Cork,
    report 00-001 (2000) 1-13

  82. Bliman P.-A., Krasnosel'skii A.M., Rachinskii D.I.
    Sector Estimates of Nonlinearities and Existence of Cycles in Control Systems,
    Institute for Nonlinear Sciences, National University of Ireland, University College, Cork,
    report 00-002 (2000) 1-20

  83. Bliman P.-A., Krasnosel'skii A.M., Rachinskii D.I.
    Sector estimates of nonlinearities and self-oscillation existence in control systems,
    Automation and Remote Control, 61, 6, part 1 (2000) 889-903

  84. Krasnosel'skii A.M., Rachinskii D.I,
    On Hamiltonian Lurie systems,
    Automation and Remote Control, 61, 8, part 1 (2000) 1259-1262

  85. Krasnosel'skii A.M., Kuznetsov N.A., Rachinskii D.I.
    Nonlinear Hopf bifurcations,
    Doklady Mathematics, 61, 3 (2000) 389-392

  86. Krasnosel'skii A.M., Kuznetsov N.A., Rachinskii D.I.
    On resonant equations with unbounded nonlinearities,
    Doklady Mathematics, 62, 1 (2000) 44-48

  87. Krasnosel'skii A.M., Mawhin J.
    Periodic solutions of equations with oscillating nonlinearities,
    Mathematical and Computer Modelling, 32 (2000) 1445-1455

  88. Krasnosel'skii A.M., McInerney J., Pokrovskii A.V.
    Weak resonances in Hopf bifurcations for control systems with nonpolynomial nonlinearities,
    Doklady Mathematics, 62, 3 (2000) 432-437

  89. Krasnosel'skii A.M., Rachinskii D.I.
    Continua of Cycles in Hamiltonian Control Systems,
    Automation and Remote Control, 62, 2 (2001) 227-235

  90. Krasnosel'skii A.M., Rachinskii D.I.
    On continua of cycles in systems with hysteresis,
    Doklady Mathematics, 63, 3 (2001) 243-248

  91. Krasnosel'skii A.M., Pokrovskii A.V.
    On subharmonics bifurcation in equations with homogeneous nonlinearities,
    Discrete and Continuous Dynamical Systems, 7, 7, 100-114 (2001)

  92. Krasnosel'skii A.M., Cross R., Pokrovskii A.V.
    Time-dependent Preisach nonlinearities and their properties,
    Doklady Mathematics, 64, 3 (2001) 435-438

  93. Bliman P.-A., Krasnosel'skii A.M., Rachinskii D.I.
    On strong resonances for Hopf bifurcations in control systems
    Automation and Remote Control, 62 2 (2001) 1783-1802

  94. Krasnosel'skii A.M., Rachinskii D.I.
    On existence of cycles for quasilinear ODE of higher order,
    Izvestija RAEN, ser. MMMIU, 5, 1-2 (2001) 143-151

  95. Krasnosel'skii A.M., Rachinskii D.I.
    Hopf bifurcations in systems with Preisach hysteresis,
    Abstracts of the 1st SIAM-EMS conference ``Applied Mathematics in our Changing World'', Berlin, 2001, p. 29

  96. Krasnosel'skii A.M., Mennicken R., Rachinskii D.I.
    Small periodic solutions generated by sublinear terms,
    Journal of Differential Equations, 179 (2002) 97-132

  97. Krasnosel'skii A.M., Rachinskii D.I.
    On existence of cycles in autonomous systems,
    Doklady Mathematics, 65, 3, (2002) 344-349

  98. Krasnosel'skii A.M., Mennicken R., Rachinskii D.I.
    Cycle stability for Hopf bifurcation, generated by sublinear terms,
    Mathematische Nachrichten, 235 (2002) 171-195

  99. Krasnosel'skii A.M., Kuznetsov N.A., Rachinskii D.I.
    On resonant differential equations with unbounded nonlinearities,
    Journal for Analysis and Applications, 21, 3 (2002) 639-668

  100. Cross R., Krasnosel'skii A.M., Pokrovskii A.V.
    A time-dependent Preisach model,
    Physica B: Condensed Matter, 306, 1-4 (2002) 206-210

  101. Krasnosel'skii A.M., Rachinskii D.I.
    On a bifurcation governed by hysteresis nonlinearity,
    Nonlinear Differential Equations and Applications, 9 (2002) 93-115

  102. Krasnosel'skii A.M., Rachinskii D.I., Schneider K.
    Hopf bifurcations in resonans 2:1,
    Nonlinear Analysis. Theory, Methods & Applications, 52, 3 (2003) 943-960

  103. Krasnosel'skii A.M., Rachinskii D.I.
    Continua of cycles of higher-order equations,
    Differential Equations, 39, 12 (2003) 1690-1702

  104. Krasnosel'skii A.M., Rachinskii D.I.
    On continuous branches of cycles in systems with nonlinearizable nonlinearities,
    Doklady Mathematics, 67, 2 (2003) 153-157

  105. Krasnosel'skii A.M., Rachinskii D.I.
    On a nonlocal condition for the existence of cycles of hysteresis systems,
    Automation and Remote Control, 64, 2 (2003) 231-251

  106. Krasnosel'skii A.M., Rachinskii D.I.
    Nonlocal theorems on Hopf bifurcations,
    Abstracts of international conference Kolmogorov and contemporary mathematics, Moscow, 2003, 67-68

  107. Krasnosel'skii A.M., Rachinskii D.I.
    On global branches of cycles and Hopf byfurcations,
    Proceedings of international conference "Modern problems on functional analysis and differential equations", Voronezh, 2003, 159-161 [Russian]

  108. Krasnosel'skii A.M., Pokrovskii A.V.
    Remark on Rotation of Bilinear Vector Fields,
    Preprint No. 04/2003 of the School of Mathematics, Applied Mathematics and Statistics,
    National University of Ireland, University College, Cork, 2003, 1-9

  109. Krasnosel'skii A.M., Pokrovskii A.V.
    Subharmonics of large amplitudes in a semilinear Duffing oscillator,
    Doklady Mathematics, 68, 1 (2003) 84-88

  110. Krasnosel'skii A.M., Rachinskii D.I.
    On continuous branches of twice periodic solutions of some PDE,
    Functional Differential Equations, 10, 1-2 (2003) 291-301

  111. Krasnosel'skii A.M., Rachinskii D.I.
    Branching at infinity of solutions to equations with degeneration of multiplicity 2,
    Doklady Mathematics, Doklady Mathematics (Springer), 69, 1 (2004) 79-83

  112. Krasnosel'skii A.M., Pokrovskii A.V., Rachinskii D.I.
    A comparison of guaranteed estimates for the rate of convergence of a class of iterative procedures,
    Automation and Remote Control, 65, 10 (2004) 1635-1640

  113. Krasnosel'skii A.M., McInerney J., Pokrovskii A.V.
    Sinchronized double frequency oscillations in a class of weakly resonant systems,
    Nonlinear Analysis. Theory, Methods & Applications, 57, 7-8 (2004) 929-949

  114. Krasnosel'skii A.M., Rachinskii D.I.
    Remark on Hopf Bifurcation Theorem,
    Mathematische Nachrichten, 272 (2004) 95-103

  115. Krasnosel'skii A.M., Pokrovskii A.V.
    Large subharmonics of pendulum-like equations,
    in `The first 60 years of NONLINEAR ANALYSIS of JEAN MAWHIN`,
    Eds. M. Delgado, J.Lopez-Gomez, R.Ortega, A.Suarez, World Scientific Publishing, 2004, 103-116

  116. Krasnosel'skii A.M., Rachinskii D.I.
    On a number of solution branches at asymptotic bifurcation point,
    Functional analysis and applications, 39, 3 (2005) 194-206
    Functional analysis and applications at MathNet

  117. Krasnosel'skii A.M., Rachinskii D.I.
    On the number of branches of periodic solutions,
    EQUADIFF 2003 , World Scientific Publishing, 2005, 246-248

  118. Krasnosel'skii A.M., Rachinskii D.I.
    Bifurcation of forced periodic oscillations for equation with Preisach hysteresis,
    Journal of Physics: Conference Series, 22 (2005) 93-102

  119. Krasnosel'skii A.M., Pokrovskii A.V.
    Dissipativity of nonresonant systems with ferromagnetic friction via a canonical example,
    Physica B: Condensed Matter, 372, 1-2 (2006) 13-16

  120. Krasnosel'skii A.M., Pokrovskii A.V.
    Dissipativity of pendulum with ferromagnetic friction,
    Automation and Remote Control, 67, 2 (2006) 221-232

  121. Krasnosel'skii A.M., Rachinskii D.I.
    Subharmonic bifurcation at infinity,
    Journal of Differential Equations, 226, 1 (2006) 30-53

  122. Kozyakin V.S., Krasnosel'skii A.M., Rachinskii D.I
    Arnold Tongues in the Problem of Large-Amplitude Periodic Trajectories,
    Doklady Mathematics,74, 3 (2006) 821-827
    This paper at SpringerLink

  123. Krasnosel'skii A.M., Pokrovskii A.V.
    Topologically stable subharmonics of large periods and amplitudes,
    Differential equations, 43, 2 (2007) 218-245

  124. Kozyakin V.S., Krasnosel'skii A.M., Rachinskii D.I.
    Arnold tongues for bifurcation from infinity,
    Discrete and Continuous Dynamical Systems - Series S, 1, 1 (2008) 107-116

  125. Kozyakin V.S., Krasnosel'skii A.M., Rachinskii D.I.
    Asymptotics of Arnold tongues in problems at infinity,
    Discrete and Continuous Dynamical Systems - Series A, 20, 4 (2008) 989-1011

  126. Bouse E., Krasnosel'skii A.M., Pokrovskii A.V., Rachinskii D.I.
    Non-local Branches of Cycles, Bi-stability, and Mixed Mode Oscillations,
    Chaos, 18, 1, 015109 (2008)

  127. Krasnosel'skii A.M.
    Double degeneration in the problem on unbounded branches of forced oscillations,
    Doklady Mathematics, 77, 2 (2008) 170-174

  128. Krasnosel'skii A.M., Rachinskii D.I.
    Nontrivial bifurcations at infinity,
    Proceedings of the International Conference "Differential equations and topology",
    dedicated to the 100th Anniversary of the birthday of L.S. Pontryagin, Moscow, 2008, 148-149 [Russian]

  129. Krasnosel'skii A., Rachinskii D.
    Bifurcations to unbounded sequence of cyclic branches of solutions,
    Abstracts of the Fifth International Conference on Differential and Functional Differential Equations,
    DFDE2008, Moscow, Russia, August 17-24, 2008, 38-39

  130. Krasnosel'skii A.M., Rachinskii D.I.
    Criterion of nonlinear resonance existence in single-loop control systems with saturation,
    Automation and Remote Control, 69, 8 (2008) 1297-1310

  131. Krasnosel'skii A.M., Rachinskii D.I.
    On nonconnected unbounded sets of forced oscillations,
    Doklady Mathematics, 78, 1 (2008) 660-664

  132. Krasnosel'skii A.M.
    Unbounded branches of periodic oscillations,
    Differential equations [Russian], 45 (2009) 334-353

  133. Krasnosel'skii A.M.
    Index at infinity and bifurcations of twice degenerate vector fields,
    Topological Methods in Nonlinear Analysis, 35, 1 (2010) 99-126

  134. O'Ceallaigh S. , Krasnosel'skii A., Pimenov A., Rachinskii D.
    Fold bifurcations and linear stability analysis in systems with Preisach hysteresis,
    In Rate-Independent Evolutions and Material Modeling (Special Section of EQUADIFF 2007), T. Roubiv{c}ek and U. Stefanelli (Eds.), Pubblicazione IMATI-CNR, 29PV10/27/0, Pavia, ISSN 1772-8964, 2010, 39-44

  135. Krasnosel'skii A.M.
    Singular Andronov-Hopf bifurcations at infinity,
    Automation and Remote Control, 72, 11 (2010), 2307-2319

  136. Krasnosel'skii A.M.
    Andronov-Hopf bifurcations at infinity,
    Modern methods in BVP theory . Proceedings of Voronezh spring mathematical school "Pontryagins readings - XXI", VSU, 2010, 127-128 [Russian]

  137. Krasnosel'skii A.M.
    Sysstems with periodic nonlinearities,
    Doklady Mathematics, 2011, 83, 3 (2011) 328331
  138. Krasnosel'skii A.
    Resonant forced oscillations in systems with periodic nonlinearities,
    Discrete and Continuous Dynamical Systems - Series S, accepted
  139. Krasnosel'skii A., O'Grady E., Pokrovskii A.V., Rachinskii D.
    Periodic canard trajectories with multiple segments following the unstable part of critical manifold,
    Discrete and Continuous Dynamical Systems - Series B
  140. Krasnosel'skii A.
    Autonomous equations with periodic nonlinearities,
    Discrete and Continuous Dynamical Systems - Series S, accepted
Last modified 20.02.2012