Novel results for a class of singular perturbed slow-fast system

被引:3
|
作者
Wang, Xiaoyun [1 ,2 ]
Wang, Li [2 ]
Wu, Yunjin [3 ]
机构
[1] Taiyuan Univ Technol, Taiyuan 030024, Shanxi, Peoples R China
[2] North Univ China, Taiyuan 030051, Shanxi, Peoples R China
[3] Xi An Jiao Tong Univ, Xian 710049, Shannxi, Peoples R China
基金
中国博士后科学基金;
关键词
Singular perturbation; Slow-fast system; Iterative process; Error analysis; LINEAR-SYSTEMS; FAST DECOMPOSITION; ORDER REDUCTION; FAST DYNAMICS; DIAGONALIZATION; PERTURBATIONS;
D O I
10.1016/j.amc.2013.09.071
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, an iterative method is illustrated for solving a class of singular perturbed slow-fast system including two or three differential equations. By some techniques, we not only give an error accuracy by differential inequality but also present an error estimate formula. At last, some typical examples are given to illustrate the new iterative method is a useful tool. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码:795 / 806
页数:12
相关论文
共 50 条
  • [31] Slow-fast torus knots
    Huzak, Renato
    Jardon-Kojakhmetov, Hildeberto
    [J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2022, 29 (03) : 371 - 388
  • [32] SYNCHRONY IN SLOW-FAST METACOMMUNITIES
    Rinaldi, Sergio
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2009, 19 (07): : 2447 - 2453
  • [33] Exact slow-fast decomposition of a class of non-linear singularly perturbed optimal control problems via invariant manifolds
    Fridman, E
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 1999, 72 (17) : 1609 - 1618
  • [34] SLOW-FAST COINCIDENCE SYSTEM FOR A FAST NEUTRON TIME-OF-FLIGHT SPECTROMETER
    HORVATH, P
    JUNA, J
    KONECNY, K
    [J]. CZECHOSLOVAK JOURNAL OF PHYSICS, 1963, 13 (10) : 754 - &
  • [35] Dynamical Features in a Slow-fast Piecewise Linear Hamiltonian System
    Kazakov, A.
    Kulagin, N.
    Lerman, L.
    [J]. MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2013, 8 (05) : 155 - 172
  • [36] Delay-induced switched states in a slow-fast system
    Ruschel, Stefan
    Yanchuk, Serhiy
    [J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2019, 377 (2153):
  • [37] A New Approach to Exact Slow-Fast Decomposition of Singularly Perturbed Linear Systems with Small Delays
    Glizer, Valery Y.
    Feigin, Yuri
    Fridman, Emilia
    Margaliot, Michael
    [J]. 2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 451 - 456
  • [38] Modified slow-fast analysis method for slow-fast dynamical systems with two scales in frequency domain
    Zhengdi Zhang
    Zhangyao Chen
    Qinsheng Bi
    [J]. Theoretical & Applied Mechanics Letters, 2019, 9 (06) : 358 - 362
  • [39] Modified slow-fast analysis method for slow-fast dynamical systems with two scales in frequency domain
    Zhang, Zhengdi
    Chen, Zhangyao
    Bi, Qinsheng
    [J]. THEORETICAL AND APPLIED MECHANICS LETTERS, 2019, 9 (06) : 358 - 362
  • [40] Dynamic transcritical bifurcations in a class of slow-fast predator-prey models
    Boudjellaba, Hafida
    Sari, Tewfik
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (06) : 2205 - 2225