NON-AUTONOMOUS BIFURCATION IN IMPULSIVE SYSTEMS

被引：1
|
作者：
Akhmet, M. U. [1 ]
Kashkynbayev, A. [1 ]
机构：
[1] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2013年 / 74期
关键词：
Non-autonomous bifurcation theory; impulsive differential equations; attractive solution; repulsive solution; pitchfork bifurcation; transcritical bifurcation; COCYCLE ATTRACTORS; PITCHFORK; BEHAVIOR;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This is the first paper which considers non-autonomous bifurcations in impulsive differential equations. Impulsive generalizations of the non-autonomous pitchfork and transcritical bifurcation are discussed. We consider scalar differential equation with fixed moments of impulses. It is illustrated by means of certain systems how the idea of pullback attracting sets remains a fruitful concept in the impulsive systems. Basics of the theory are provided.
引用
收藏
页码：1 / 23
页数：23
相关论文
共 50 条
  • [31] On fuzzifications of non-autonomous dynamical systems
    Shao, Hua
    Zhu, Hao
    Chen, Guanrong
    TOPOLOGY AND ITS APPLICATIONS, 2021, 297
  • [32] Mapping of non-autonomous dynamical systems to autonomous ones
    Momeni, Davood
    Channuie, Phongpichit
    Al Ajmi, Mudhahir
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2019, 16 (06)
  • [33] THE STABILITY OF NON-AUTONOMOUS DELAY SYSTEMS
    李黎明
    姜景红
    SystemsScienceandMathematicalSciences, 1990, (02) : 160 - 165
  • [34] New stability criterion of fractional-order impulsive coupled non-autonomous systems on networks
    Li, Hui
    Li, Hong-Li
    Kao, YongGui
    NEUROCOMPUTING, 2020, 401 : 91 - 100
  • [35] Bifurcation control for a non-autonomous system with two time delays
    Qian, CZ
    Tang, JS
    ACTA PHYSICA SINICA, 2006, 55 (02) : 617 - 621
  • [36] Stability, instability, and bifurcation phenomena in non-autonomous differential equations
    Langa, JA
    Robinson, JC
    Suárez, A
    NONLINEARITY, 2002, 15 (03) : 887 - 903
  • [37] A non-autonomous bifurcation theory for deterministic scalar differential equations
    Nunez, Carmen
    Obaya, Rafael
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2008, 9 (3-4): : 701 - 730
  • [38] Bifurcation control for a kind of non-autonomous system with time delay
    Qian Changzhao
    Wang Zhiwen
    Dong Chuangwen
    Liu Yang
    MECHANICAL ENGINEERING AND GREEN MANUFACTURING, PTS 1 AND 2, 2010, : 1752 - 1756
  • [39] BIFURCATION TO HOMOCLINIC ORBITS AND TO PERIODIC-SOLUTIONS FOR NON-AUTONOMOUS 3-DIMENSIONAL SYSTEMS
    COSTAL, F
    RODRIGUEZ, JA
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1988, 104 (02) : 185 - 194
  • [40] Controllability of nonlocal non-autonomous neutral differential systems including non-instantaneous impulsive effects in Rn
    Kavitha, Velusamy
    Arjunan, Mani Mallika
    Baleanu, Dumitru
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2020, 28 (03): : 103 - 121
12345