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Title: Periodic solutions in systems at resonances with small relay hysteresis (English)
Author: Fečkan, Michal
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 49
Issue: 1
Year: 1999
Pages: 41-52
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Category: math
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MSC: 34A25
MSC: 34A60
MSC: 94C05
idZBL: Zbl 1047.34011
idMR: MR1804472
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Date available: 2009-09-25T11:34:26Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/132859
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Reference: [1] BRAVERMAN E. M.-MEERKOV S. M.-PYATNITSKH E. S.: Conditions for applicability of the method of harmonic balance for systems with hysteresis nonlinearity (in the case of filter hypothesis).Automаt. Remote Control 37 (1976), 1640-1650. Zbl 0354.93029, MR 0439320
Reference: [2] DEIMLING K.: Multivalued Differential Equations.W. De Gruyter, Berlin, 1992. Zbl 0820.34009, MR 1189795
Reference: [3] FEČKAN M.: Bifurcation of periodic solutions in differential inclusions.Appl. Mаth. 42 (1997), 369-393. Zbl 0903.34036, MR 1467555
Reference: [4] HARTMAN P.: Ordinary Differential Equations.Wiley, New York, 1964. Zbl 0125.32102, MR 0171038
Reference: [5] MACKI J. W.-NISTRI P.-ZECCA P.: Mathematical models for hysteresis.SIAM Rev. 35 (1993), 94-123. Zbl 0771.34018, MR 1207799
Reference: [6] MACKI J. W.-NISTRI P.-ZECCA P.: Periodic oscillations in systems with hysteresis.Rocky Mountаin J. Mаth. 22 (1992), 669-681. Zbl 0759.34013, MR 1180729
Reference: [7] MILLER R. K.-MICHEL A. N.: Sinusoidal input-periodic response in nonlinear differential equations containing discontinuous elements.In: Proc. Conf. in Integrаl аnd Functionаl Differentiаl Equаtions. Lecture Notes Pure Appl. Mаth. 67, Springer-Verlаg, New York, 1980. MR 0617042
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