Harmonic balance analysis of two bifurcation routes to chaos

被引:0
|
作者
Suárez, A [1 ]
Collantes, JM [1 ]
机构
[1] Univ Cantabria, Dpt Ingn Comunicac, E-39005 Santander, Spain
关键词
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper shows the two different routes to chaos obtained in a varactor-based frequency doubler when using two different topologies for the input filter. The analysis of both routes to chaos, carried out in both frequency and time domain, has enabled an evaluation of the capabilities of the state-of-the-art harmonic balance technique in comparison with time domain methods. The good: agreement shows the harmonic balance potential for the prediction of the initial bifurcations in common routes to chaos.
引用
收藏
页码:767 / 770
页数:4
相关论文
共 50 条
  • [1] FFT Bifurcation Analysis of Routes to Chaos via Quasiperiodic Solutions
    Borkowski, L.
    Stefanski, A.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [2] Bifurcation and chaos in geared rotor bearing system by incremental harmonic balance method
    Raghothama, A
    Narayanan, S
    JOURNAL OF SOUND AND VIBRATION, 1999, 226 (03) : 469 - 492
  • [3] A harmonic balance approach to bifurcation analysis of limit cycles
    Bonani, F
    Gilli, M
    ISCAS '99: PROCEEDINGS OF THE 1999 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL 6: CIRCUITS ANALYSIS, DESIGN METHODS, AND APPLICATIONS, 1999, : 298 - 301
  • [4] HARMONIC BALANCE AND HOPF BIFURCATION
    ALLWRIGHT, DJ
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1977, 82 (NOV) : 453 - 467
  • [5] Bifurcation and chaos analysis of stochastic duffing system under harmonic excitations
    Leng, XL
    Wu, CL
    Ma, XP
    Meng, G
    Fang, T
    NONLINEAR DYNAMICS, 2005, 42 (02) : 185 - 198
  • [6] The Harmonic Balance Method for Bifurcation Analysis of Nonlinear Mechanical Systems
    Detroux, T.
    Renson, L.
    Masset, L.
    Kerschen, G.
    NONLINEAR DYNAMICS, VOL 1, 2017, : 65 - 82
  • [7] Bifurcation and Chaos Analysis of Stochastic Duffing System Under Harmonic Excitations
    X. L. Leng
    C. L. Wu
    X. P. Ma
    G. Meng
    T. Fang
    Nonlinear Dynamics, 2005, 42 : 185 - 198
  • [8] Bifurcation and route-to-chaos analyses for Mathieu–Duffing oscillator by the incremental harmonic balance method
    J. H. Shen
    K. C. Lin
    S. H. Chen
    K. Y. Sze
    Nonlinear Dynamics, 2008, 52 : 403 - 414
  • [9] BIFURCATION ANALYSIS OF A SPACECRAFT STRUCTURE USING THE HARMONIC BALANCE METHOD
    Detroux, T.
    Renson, L.
    Masset, L.
    Noel, J. P.
    Kerschen, G.
    INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2015, VOL 8, 2016,
  • [10] Bifurcation, routes to chaos, and synchronized chaos of electromagnetic valve train in camless engines
    Chang, Shun-Chang
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2021, 22 (3-4) : 447 - 460