Relaxation self-oscillations in neuron systems: III

被引：2
|
作者：
Glyzin, S. D. [1 ]
Kolesov, A. Yu.
Rozov, N. Kh.
机构：
[1] Yaroslavl State Univ, Yaroslavl, Russia
来源：
DIFFERENTIAL EQUATIONS | 2012年 / 48卷 / 02期
关键词：
Cauchy Problem; Asymptotic Formula; Neuron System; Stable Periodic Solution; Nonlinear Delay;
D O I：
10.1134/S0012266112020012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The mathematical model considered here of a neuron system is a chain of an arbitrary number m a parts per thousand yen 2 of diffusion-coupled singularly perturbed nonlinear delay differential equations with Neumann-type conditions at the endpoints. We study the existence, asymptotic behavior, and stability of relaxation periodic solutions of this system.
引用
收藏
页码：159 / 175
页数：17
相关论文
共 50 条
  • [1] Relaxation self-oscillations in neuron systems: III
    S. D. Glyzin
    A. Yu. Kolesov
    N. Kh. Rozov
    [J]. Differential Equations, 2012, 48 : 159 - 175
  • [2] Relaxation Self-Oscillations in Neuron Systems: I
    Glyzin, S. D.
    Kolesov, A. Yu
    Rozov, N. Kh
    [J]. DIFFERENTIAL EQUATIONS, 2011, 47 (07) : 927 - 941
  • [3] Relaxation Self-Oscillations in Neuron Systems: II
    Glyzin, S. D.
    Kolesov, A. Yu.
    Rozov, N. Kh.
    [J]. DIFFERENTIAL EQUATIONS, 2011, 47 (12) : 1697 - 1713
  • [4] Relaxation self-oscillations in neuron systems: II
    S. D. Glyzin
    A. Yu. Kolesov
    N. Kh. Rozov
    [J]. Differential Equations, 2011, 47 : 1697 - 1713
  • [5] Relaxation self-oscillations in neuron systems: I
    S. D. Glyzin
    A. Yu. Kolesov
    N. Kh. Rozov
    [J]. Differential Equations, 2011, 47 : 927 - 941
  • [6] Self-oscillations in acoustoelectric systems
    Vyun, VA
    [J]. MIA-ME'97 - 1997 HIGH POWER MICROWAVE ELECTRONICS: MEASUREMENTS, IDENTIFICATION, APPLICATIONS, 1997, : 162 - 164
  • [7] SELF-OSCILLATIONS IN SYSTEMS WITH HYSTERESIS
    KRASNOSELSKII, MA
    POKROVSKII, AV
    FOMENKO, IV
    [J]. DOKLADY AKADEMII NAUK SSSR, 1989, 309 (05): : 1068 - 1071
  • [8] Relaxation self-oscillations in Hopfield networks with delay
    Glyzin, S. D.
    Kolesov, A. Yu.
    Rozov, N. Kh.
    [J]. IZVESTIYA MATHEMATICS, 2013, 77 (02) : 271 - 312
  • [9] On the problem of the excitation of self-oscillations in relaxation friction
    Astashev V.K.
    Vul’fson I.I.
    [J]. Journal of Machinery Manufacture and Reliability, 2016, 45 (05) : 420 - 428
  • [10] Hysteresis and self-oscillations in an artificial memristive quantum neuron
    Potter, Finlay
    Zagoskin, Alexandre
    Savel'Ev, Sergey
    Balanov, Alexander G.
    [J]. Physical Review A, 2024, 110 (04)
12345