Combinatorial Resonances in Coupled Duffing's Circuits

被引用文献1件 参考文献11件
  • MA Yue
    the Faculty of Engineering, The University of Tokushima
  • KAWAKAMI Hiroshi
    the Faculty of Engineering, The University of Tokushima

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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.

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詳細情報 詳細情報について

  • CRID
    1570009752558501632
  • NII論文ID
    110003216790
  • NII書誌ID
    AA10826239
  • ISSN
    09168850
  • 本文言語コード
    en
  • データソース種別
    • CiNii Articles

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