Asymptotically stable oscillations in systems with hysteresis nonlinearities

被引:22
作者
Brokate, M
Pokrovskii, AV
机构
[1] Univ Kiel, Math Seminar, D-24098 Kiel, Germany
[2] Natl Univ Ireland, Univ Coll, Dept Phys, Inst Nonlinear Sci, Cork, Ireland
[3] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow, Russia
基金
澳大利亚研究理事会;
关键词
D O I
10.1006/jdeq.1998.3492
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present some sufficient conditions for the asymptotic stability of oscillations in nonlinear ODE systems with respect to small hysteretic perturbations. (C) 1998 Academic Press.
引用
收藏
页码:98 / 123
页数:26
相关论文
共 18 条
[1]  
[Anonymous], 1974, SYSTEM THEORY UNIFIE
[2]  
[Anonymous], 1996, HYSTERESIS CONVEXITY
[3]  
BLIMAN PA, 1996, DOKL MATH, V53, P312
[4]  
BROKATE M, 1998, PITMAN RES NOTES MAT, V377, P238
[5]  
Brokate M., 1996, Hysteresis and phase transitions
[6]  
Deimling K., 1985, NONLINEAR FUNCTIONAL, DOI DOI 10.1007/978-3-662-00547-7
[7]  
Hale J.K., 1977, Theory of functional differential equations, DOI 10.1007/978-1-4612-9892-2
[8]  
Hartman P., 1964, ORDINARY DIFFERENTIA
[9]  
Krasnosel'ski MA., 1989, Systems with Hysteresis, DOI [10.1007/978-3-642-61302-9, DOI 10.1007/978-3-642-61302-9]
[10]  
Krasnosel'skii M. A., 1991, Soviet Physics - Doklady, V36, P743