Combinatorial Resonances in Coupled Duffing's Circuits

1 Citations 11 References
  • MA Yue
    the Faculty of Engineering, The University of Tokushima
  • KAWAKAMI Hiroshi
    the Faculty of Engineering, The University of Tokushima

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Description

In this paper, we study the fundamental combinatorial nonlinear resonances of a system consisting of two identical periodic forced circuits coupled by a linear resistor. The circuit equations are described by a system of coupled Duffing's equations. We discuss two cases of external periodic force, i.e., in-phase and anti-phase, and obtain the bifurcation diagram of each case. Periodic solutions are classified according to the symmetrical property of the circuit. Resonances in the coupled system are explained from the combinatorial standpoint. That is, we introduce the definition of combinatorial resonances and investigate the patterns of combinatorial solutions in this system.

Journal

  • IEICE Trans. Fundamentals

    IEICE Trans. Fundamentals 85 (3), 648-654, 2002-03-01

    The Institute of Electronics, Information and Communication Engineers

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Keywords

Details 詳細情報について

  • CRID
    1570009752558501632
  • NII Article ID
    110003216790
  • NII Book ID
    AA10826239
  • ISSN
    09168850
  • Text Lang
    en
  • Data Source
    • CiNii Articles

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