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
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
  • [21] Dynamic modes and bifurcations in the frequency-phase lock system with a multiple-frequency discriminator
    Ponomarenko, V. P.
    JOURNAL OF COMMUNICATIONS TECHNOLOGY AND ELECTRONICS, 2015, 60 (02) : 179 - 192
  • [22] Dynamic modes and bifurcations in the frequency-phase lock system with a multiple-frequency discriminator
    V. P. Ponomarenko
    Journal of Communications Technology and Electronics, 2015, 60 : 179 - 192
  • [23] Characterization of Aggregate Angularity in the Frequency Domain
    Xu, Hongbin
    Prozzi, Jorge A.
    Kim, Moo Yeon
    Hernandez, Joaquin Bernardo
    TRANSPORTATION RESEARCH RECORD, 2020, 2674 (10) : 324 - 334
  • [24] Frequency Domain Characterization of a Solar Cell
    Stosovic, Miona Andrejevic
    Lukac, Dusko
    Litovski, Ivan
    Litovski, Vanco
    ELEVENTH SYMPOSIUM ON NEURAL NETWORK APPLICATIONS IN ELECTRICAL ENGINEERING (NEUREL 2012), 2012,
  • [25] Aggregate shape characterization in frequency domain
    Bangaru, Raja Sekhar
    Das, Animesh
    CONSTRUCTION AND BUILDING MATERIALS, 2012, 34 : 554 - 560
  • [26] A Frequency Domain LMS Algorithm with Dynamic Selection of Frequency Bins
    Chang Liu
    Zishu He
    Wei Xia
    Circuits, Systems, and Signal Processing, 2012, 31 : 2103 - 2118
  • [27] A Frequency Domain LMS Algorithm with Dynamic Selection of Frequency Bins
    Liu, Chang
    He, Zishu
    Xia, Wei
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2012, 31 (06) : 2103 - 2118
  • [28] A Frequency-Domain Algorithm for Dynamic Synchrophasor and Frequency Estimation
    Petri, Dario
    Fontanelli, Daniele
    Macii, David
    IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 2014, 63 (10) : 2330 - 2340
  • [29] A Frequency Domain Method for Analyzing Period Doubling Bifurcations in Discrete-Time Systems
    Maria Belen D'Amico
    Jorge L. Moiola
    Eduardo E. Paolini
    Circuits, Systems and Signal Processing, 2004, 23 : 517 - 536
  • [30] Hopf bifurcations and degeneracies in Chua's circuit - A perspective from a frequency domain approach
    Moiola, JL
    Chua, LO
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (01): : 295 - 303