Asymptotic Stability of Large-amplitude Oscillations in Systems with Hysteresis

Nonlinear Differential Equations and Applications

Volumn 6, Issue 3, 1999, Pages 267-288

  Rachinskii, Dmitrii ^a,b  

^a INSTITUTE FOR INFORMATION TRANSMISSION PROBLEMS   (Russian Federation)

^b Russ Found for Fundamental Res   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345980208     PISSN: 10219722     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000300050076     Document Type: Article

References (10)

1. M. KRASNOSEL'SKII, A. POKROVSKII, Systems with hysteresis, Springer- Verlag, Berlin, 1989. Russian edition: Nauka, Moscow, 1983
2. P. KREJČÍ, Hysteresis, convexity and dissipation in hyperbolic equations, Gakkotosho, Tokyo, 1996
3. A. VISINTIN, Differential models of hysteresis, Springer-Verlag, Berlin, 1994
4. M. BROKATE, J. SPREKELS, Hysteresis and phase transitions, Springer- Verlag, New York, 1996
5. P.-A. BLIMAN, A. KRASNOSEL'SKII, M. SORINE, A. VLADIMIROV, Nonlinear resonance in systems with hysteresis, Nonlinear Analysis. Theory, Methods & Applications 27, No. 5, 561-577 (1996)
6. I. MAYERGOYZ, Mathematical models of hysteresis, Springer-Verlag, Berlin, 1991
7. F. PREISACH: Über die magnetische Nachwirkung, Z. Physik 94, 277-302 (1935)
8. M. KRASNOSEL'SKII, P. ZABREIKO, Geometrical methods of nonlinear analysis, Springer-Verlag, 1984. Russian edition: Nauka, Moscow, 1975
9. M. KRASNOSEL'SKII, D. RACHINSKII, Normal states of vector relay systems, Russ. Acad. Sci., Dokl. Math. 47, No. 3, 577-580 (1993)
10. M. KRASNOSEL'SKII, I. MAYERGOYZ, A. POKROVSKII, D. RACHINSKII, Variable states of continuous relay systems, Russ. Acad. Sci., Dokl. Math. 47, No. 3, 513-517 (1993)