Effects of Forcing Frequency on Dynamics of Subcritical Hopf Bifurcation Under Periodic Perturbation

被引：0
|
作者：
Dong Wanjing [1 ]
Wang Yong [2 ]
机构：
[1] China Ship Dev & Design Ctr, Natl Key Lab Ship Vibrat & Noise, Wuhan 430064, Peoples R China
[2] Peking Univ, State Key Lab Turbulence & Complex Syst, Beijing, Peoples R China
来源：
2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC) | 2015年
关键词：
Hopf Bifurcation; Periodic Perturbation; Rotating Stall; AXIAL-COMPRESSION SYSTEMS; POST-STALL TRANSIENTS; RESONANCE; STABILITY;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we analyze effects of frequency of periodic perturbation on a nonlinear system with subcritical hopf bifurcation, and find that the relationship between system dynamics and perturbation frequency is complexity. Forcing frequency affects transitions, such as bifurcation and hysteresis, in diagram of periodic solution amplitude (with the same frequency as forcing frequency) versus bifurcation parameter. Forcing frequency also has influence on system stability boundary. Under certain condition, system has worst stability performance when forced by periodic perturbation with hopf frequency. The results gotten in general nonlinear system are applied into rotating stall of axial compressor.
引用
收藏
页码：2369 / 2374
页数：6
相关论文
共 50 条
  • [1] PERTURBATION OF A HOPF-BIFURCATION BY AN EXTERNAL TIME-PERIODIC FORCING
    GAMBAUDO, JM
    JOURNAL OF DIFFERENTIAL EQUATIONS, 1985, 57 (02) : 172 - 199
  • [2] PERIODIC FORCING ON DEGENERATE HOPF BIFURCATION
    Yuan, Qigang
    Ren, Jingli
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (05): : 2857 - 2877
  • [3] Splitting of the separatrices after a Hamiltonian-Hopf bifurcation under periodic forcing
    Fontich, E.
    Simo, C.
    Vieiro, A.
    NONLINEARITY, 2019, 32 (04) : 1440 - 1493
  • [4] NON-RESONANT PERIODIC PERTURBATION OF THE HOPF-BIFURCATION
    SMITH, HL
    APPLICABLE ANALYSIS, 1981, 12 (03) : 173 - 195
  • [5] Flame Dynamics Intermittency in the Bistable Region Near a Subcritical Hopf Bifurcation
    Ebi, D.
    Denisov, A.
    Bonciolini, G.
    Boujo, E.
    Noiray, N.
    JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER-TRANSACTIONS OF THE ASME, 2018, 140 (06):
  • [6] Stabilization of periodic orbits near a subcritical Hopf bifurcation in delay-coupled networks
    Choe, Chol-Ung
    Jang, Hyok
    Flunkert, Valentin
    Dahms, Thomas
    Hoevel, Philipp
    Schoell, Eckehard
    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2013, 28 (01): : 15 - 33
  • [7] Time-delayed feedback control of unstable periodic orbits near a subcritical Hopf bifurcation
    Brown, G.
    Postlethwaite, C. M.
    Silber, M.
    PHYSICA D-NONLINEAR PHENOMENA, 2011, 240 (9-10) : 859 - 871
  • [8] FLAME DYNAMICS INTERMITTENCY IN THE BI-STABLE REGION NEAR A SUBCRITICAL HOPF BIFURCATION
    Ebi, D.
    Denisov, A.
    Bonciolini, G.
    Boujo, E.
    Noiray, N.
    PROCEEDINGS OF THE ASME TURBO EXPO: TURBINE TECHNICAL CONFERENCE AND EXPOSITION, 2017, VOL 4B, 2017,
  • [9] Subcritical hopf bifurcation in the methylene blue oscillator. Effects of imposed fluctuations
    Resch, P.
    Muenster, A.F.
    Schneider, F.W.
    Journal of Physical Chemistry, 1991, 95 (16):
  • [10] Dynamics of a Levitron under a periodic magnetic forcing
    Perez, Alberto T.
    Garcia-Sanchez, Pablo
    AMERICAN JOURNAL OF PHYSICS, 2015, 83 (02) : 133 - 142
12345