Here you can obtain the texts of my recent papers.

1. Bliman P.A., Krasnosel'skii A.M.
   Popov criterion and forced periodic oscillations.
   Avtomatika i telemekhanika, 4, 1998, 3-14 [Russian]
   Short text in English: PostScript.zip
   Complete Russian text: PostScript.zip
2. Bliman P.A., Krasnosel'skii A.M.
   Popov-like frequency criterion for existence of forced periodic oscillations.
   37th IEEE Conference on Decision and Control, Tampa, Florida, 1998, TM 12-7, 2467-2472
   Text: PostScript.zip
3. Kloeden P., Krasnosel'skii A.M.
   Twice degenerate equations in the spaces of vector-valued functions.
   Arab Journal of Mathematical Sciences, 4, 1, 1998, 1-28
   Text: PostScript.zip
4. Bliman P.-A., Krasnosel'skii A.M., Sorine 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
   Text: PostScript.zip
5. Krasnosel'skii A.M., Mawhin J.
   Equations with unbounded sequences of solutions.
   Abstract in Russian of paper for Pontryagin Conference in Voronezh, May, 1998.
   Text in Russian: DVI, PostScript
6. Krasnosel'skii A.M.
   Unbounded sequences of cycles in autonomous control systems.
   Avtomatika i Telemekhanika, 8, 74-84, 1999
   Text in Russian: PostScript.zip
7. Krasnosel'skii A.M., Chernorutskii V.V.
   Hopf bifurcations, generated by small nonlinear terms.
   Avtomatika i Telemekhanika, 9, 29-36, 1999
   Text in Russian: PostScript.zip
8. Krasnosel'skii A.M., Mawhin J.
   Periodic solutions of equations with oscillating nonlinearities.
   Text: DVI, PostScript
9. Krasnosel'skii A.M.
   On oscillations in resonant equations with complex nonlinearities.
   7th IEEE Mediterranean Conference on Control and Automation (MED99), Israel, 1999, 1231-1243, paper no.13
   Text: PostScript.Zip
   
10. Bliman P.-A., Krasnosel'skii A.M.
    Popov absolute stability criterion for time-varying multivariable nonlinear systems.
    European Control Conference (ECC99), Karlsruhe, Germany, 1999, F888, 1-6
    Text: PostScript
    
11. Krasnosel'skii A.M., Rachinskii D.I.
    Hopf bifurcations at infinity, generated by bounded nonlinear terms.
    Functional Differential Equations, 6, #3-4, 1999, 357-374
    Text: PostScript
12. Krasnosel'skii A., Mennicken R., Rachinskii D.
    Hopf bifurcation generated by small nonlinear terms.
    Z. Angew. Math. Mech. 80, 2000, S2, 289-290 Text: PostScript
13. Krasnosel'skii A.M., Mennicken R., Rachinskii D.I.
    Small periodic solutions generated by sublinear terms.
    Prepublication: National University of Ireland, University College, Cork, report 99-009, October 1999, 1 - 30
    Text: PostScript.zip
    Journal of Differential Equations, to appear
14. Krasnosel'skii A.M., Mawhin J.
    Index at infinity for vector fields with oscillating nonlinearities.
    Discrete and Continuous Dynamical Systems, 6, #1, 165-174, 2000
    Text: DVI, PostScript
15. Kloeden P., Krasnosel'skii A.M.
    Oscillations in systems with asymptotically even nonlinearities.
    Journal of Applied Mathematics and Stochastic Analysis, 13, 2000, 41-50
    Text: PostScript.zip
16. Krasnosel'skii A.M., Rachinskii D.I.
    Hamiltonian Lurie systems.
    Avtomatika i telemekhanika [Russian], 8, 2000, 23-27
    Text in Russian: PostScript.zip
17. Krasnosel'skii A.M., Kuznetsov N.A., Rachinskii D.I.
    Nonlinear Hopf bifurcations.
    Russian Doklady [Russian], 373, 4, 2000, 455-458
    Text in Russian: PostScript.zip
18. Krasnosel'skii A.M., Kuznetsov N.A., Rachinskii D.I.
    On resonant equations with unbounded nonlinearities.
    Russian Doklady [Russian], 373, 3, 2000, 295-299
    Text in Russian: PostScript.zip
19. Krasnosel'skii A.M., Rachinskii D.I.
    Existence of cycle continua in Hamiltonian control systems.
    Automation and Remote Control, 62, 2, 227-235 (2001)
    Text in Russian (Avtomatika i telemekhanika, 2, 2001, 65-74): PostScript.zip
    Prepublication in English: National University of Ireland, University College, Cork, report 00-001, March 2000, 1 - 13
    Text: PostScript.zip
20. Bliman P.-A., Krasnosel'skii A.M., Rachinskii D.I.
    Sector estimates of nonlinearities and self-oscillation existence in control systems.
    Avtomatika i telemekhanika, 6, 2000, 3 - 18 [Russian]
    Text in Russian: PostScript.zip
    Prepublication in English: National University of Ireland, University College, Cork, report 00-002, March 2000, 1 - 20
    Text: PostScript.zip
21. Krasnosel'skii A.M., McInerney J., Pokrovskii A.V.
    Weak resonances for Hopf bifurcations in control systems with nonpolynomial nonlinearities.
    Russian Doklady [Russian], 375, 5, 2000, 600-605
    Text in Russian: PostScript.zip
22. Krasnosel'skii A.M., Pokrovskii A.V.
    On subharmonics bifurcation in equations with homogeneous nonlinearities.
    Discrete and Continuous Dynamical Systems, 7, 7, 2001, 100-114
    Text: PostScript.zip
23. Krasnosel'skii A.M., Rachinskii D.I.
    On continua of cycles in systems with hysteresis
    Russian Doklady [Russian], 2001, 378, 3
    Text in Russian: PostScript.zip
24. Krasnosel'skii A.M., Rachinskii D.I.
    On existence of cycles for quasilinear ODE of higher order
    Surveys of RAEN, 5, 1-2, 2001, 143-151
    Text: PostScript.zip
25. Bliman P.-A., Krasnosel'skii A.M., Rachinskii D.I.
    On strong resonanses for Hopf bifurcations in control systems.
    Avtomatika i telemekhanika, 11, 2001, 29-50
    Text in Russian: PostScript.zip
    
26. Krasnosel'skii A.M., Kross R., Pokrovskii A.V.
    Time-dependend Preisach nonlinearities and their properties.
    Russian Doklady, 381, 2001, 180-184 [Russian]
    Text in Russian: PostScript.zip
27. Cross R., Krasnosel'skii A.M., Pokrovskii A.V.
    A time-dependent Preisach model.
    Physica B, Condensed Matter, 306,1-4, 206-210
    Text: PDF.zip
28. Krasnosel'skii A.M., Rachinskii D.I.
    On a bifurcation governed by hysteresis nonlinearity.
    Nonlinear Differential Equations and Applications, 9, 2002, 93-115
    Text: PostScript.zip
29. Krasnosel'skii A.M., Mennicken R., Rachinskii D.I.
    Cycle stability for Hopf bifurcation, generated by sublinear terms.
    Mathematische Nachrichten, 235, 171-195, 2002
    Text: PostScript.zip
30. Krasnosel'skii A.M., Kusnetsov N.A., Rachinskii D.I.
    On resonant differential equations with unbounded nonlinearities.
    Journal for Analysis and Applications, 21, 3, 2002, 639-668
    Text: PostScript.zip
31. Krasnosel'skii A.M., Rachinskii D.I., Schneider K.
    Hopf bifurcations in resonans 2:1.
    Nonlinear Analysis, Theory, Methods & Applications, 2003, 52, 3, 943-960
    Text: PostScript.zip
    
32. Krasnosel'skii A.M., McInerney J., Pokrovskii A.V.
    Synchronized double frequency oscillations in a class of weakly resonant systems.
    Prepublication: National University of Ireland, University College, Cork, report 00-011, September 2000, 1 - 28
    Text: PostScript.zip
    
33. Krasnosel'skii A.M., Rachinskii D.I.
    On a non-local criterion of existence of cycles in systems with hysteresis.
    Automation and Remote Control, 2, 2003, 66-88
    Text: Russian PostScript.zip
    
34. Krasnosel'skii A.M., Rachinskii D.I.
    On existence of cycles in autonomous systems.
    Doklady Mathematics, 384, 2, 2002, 161-166
    Text: Russian PostScript.zip
    
35. Krasnosel'skii A.M., Rachinskii D.I.
    On continual branches of cycles in systems with nonlinearizable nonlinearities.
    Doklady Mathematics, 389, 1, 11-16, 2003
    Text: Russian PostScript.zip
    
36. Krasnosel'skii A.M., Pokrovskii A.V.
    Remark on Rotation of Bilinear Vector Fields.
    Preprint of the School of Mathematics, Applied Mathematics and Statistics,
    National University of Ireland, University College, Cork, 2002
    Text: PostScript.zip
    
37. Krasnosel'skii A.M., Rachinskii D.I.
    Nonlocal theorems on Hopf bifurcations.
    Abstracts for Kolmogorov Conference, Moscow, 2003, 67-68
    Text: PostScript.zip
    
38. 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
    Text: PostScript.zip
    
39. Krasnosel'skii A.M., Rachinskii D.I.
    Remark on Hopf Bifurcation Theorem.
    Mathematische Nachrichten, to appear
    Text: PostScript.zip
    
40. Krasnosel'skii A.M., Rachinskii D.I.
    On global branches of cycles and Hopf byfurcations.
    Proceedings of the conference "Modern problems on functional analysis and differential equations", Voronezh, 2003, 159-161
    Text in Russian: PostScript.zip
    
41. Krasnosel'skii A.M., Pokrovskii A.V.
    On large-amplitude subharmonics in semilinear Duffing oscillator.
    Doklady Mathematics, 391, 4, 448-452, 2003
    Text in Russian: PostScript.zip
    
42. Krasnosel'skii A.M., Rachinskii D.I.
    On a number of branches of periodic solutions.
    Proceedings of Equadiff-2003
    Text: PDF.zip,
43. Krasnosel'skii A.M., Rachinskii D.I.
    Continuous branches of cycles for equations of higher order.
    Differential Equations, 12, 2003
    Text: Russian PostScript.zip, English PostScript.zip
    
44. Krasnosel'skii A.M., Rachinskii D.I.
    Solution branching at infinity for equations with degeneration of multiplicity 2.
    Doklady Mathematics, 394, 4, 2004
    Text in Russian: PostScript.zip
    
45. Krasnosel'skii A.M., Pokrovskii A.V., Rachinskii D.I.
    On guaranteed estimates of iteration procedure convergence rate.
    Automation and Remote Control
    Text in Russian: PostScript.zip
    
46. Krasnosel'skii A.M., Pokrovskii A.V.
    Large subharmonics of pendulum-like equations.
    in The first 60 years of NONLINEAR ANALYSIS. The special volume honoring Prof. Jean Mawhin
    Text: PDF.zip
    
47. Krasnosel'skii A.M., Rachinskii D.I.
    On a number of unbounded branches of solutions in a bifurcation point vicinity.
    Functional analysis and applications, accepted, 2005
    Text: PDF
    
48. Krasnosel'skii A.M., Rachinskii D.I.
    Subharmonics bifurcation at infinity.
    BCRI Preprints, sent to Journal of Differential Equations
    Text may be found at: PDF
    
49. Krasnosel'skii A.M., Rachinskii D.I.
    Bifurcation of forced periodic oscillations for equations with Preisach hysteresis.
    Proceedings of HAMSA2004
    Text: PDF
    
50. Krasnosel'skii A.M., Rachinskii D.I.
    Remark on Hopf Bifurcation Theorem,
    Mathematische Nachrichten, 272 (2004) 95-103
    Text: PS.rar
    

Last rev. 13/12/2004