Characterization of dynamic bifurcations in the frequency domain

被引：5
|
作者：
Itovich, GR
Moiola, JL
机构：
[1] Univ Nacl Comahue, Fac Econ & Adm, Dept Matemat, RA-8300 Neuquen, Argentina
[2] Univ Nacl Sur, CONICET, RA-8000 Bahia Blanca, Buenos Aires, Argentina
[3] Univ Nacl Sur, Dpto Ingn Elect, RA-8000 Bahia Blanca, Buenos Aires, Argentina
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2002年 / 12卷 / 01期
关键词：
D O I：
10.1142/S0218127402004280
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper dynamical systems with certain degenerate Hopf bifurcations are considered. An analysis of the bifurcation behavior is proposed using several tools from the frequency domain approach. The analyzed bifurcations are the building blocks to understand the multiplicity of Hopf bifurcation points and to propose certain strategies in the future for controlling the bifurcation behavior in nonlinear systems.
引用
收藏
页码：87 / 101
页数：15
相关论文
共 50 条
  • [1] Characterization of static bifurcations in the frequency domain
    Itovich, GR
    Moiola, JL
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (03): : 677 - 688
  • [2] Characterization of static bifurcations for maps in the frequency domain
    Zeng, Li
    Zhao, Yi
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2007, 17 (03): : 975 - 983
  • [3] Characterization of static bifurcations for n-dimensional flows in the frequency domain
    Li Zeng
    Yi Zhao
    Journal of Control Theory and Applications, 2006, 4 (3): : 217 - 222
  • [4] Characterization of static bifurcations for n-dimensional flows in the frequency domain
    Li ZENG
    School of Informatics
    Department of Mathematics
    JournalofControlTheoryandApplications, 2006, (03) : 217 - 222
  • [5] Controlling bifurcations in maps via a frequency-domain approach
    D'Amico, MB
    Moiola, JL
    Paolini, EE
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2003, 10 (06): : 781 - 798
  • [6] A frequency-domain approach to bifurcations in control systems with saturation
    Aracil, J
    Ponce, E
    Alamo, T
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2000, 31 (10) : 1261 - 1271
  • [7] Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain
    Bel, A.
    Reartes, W.
    Torresi, A.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2016, 26 (14):
  • [8] FREQUENCY DOMAIN APPROACH TO COMPUTATION AND ANALYSIS OF BIFURCATIONS AND LIMIT CYCLES: A TUTORIAL
    Moiola, Jorge L.
    Chen, Guanrong
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1993, 3 (04): : 843 - 867
  • [9] Characterization of arcs in frequency domain
    D'Inca, R.
    El Khaldi, M.
    Siegl, G.
    Faugel, H.
    Braun, F.
    Eckert, B.
    Bobkov, V.
    Noterdaeme, J. -M.
    RADIO FREQUENCY POWER IN PLASMAS, 2009, 1187 : 245 - +
  • [10] Frequency domain lifetime characterization
    Schroder, DK
    Park, JE
    Tan, SE
    Choi, BD
    Kishino, S
    Yoshida, H
    IEEE TRANSACTIONS ON ELECTRON DEVICES, 2000, 47 (08) : 1653 - 1661
12345