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On reduced variational equations of coupled systems

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Wuhan University Journal of Natural Sciences

Abstract

A coupled system of three nonlinear oscillators with symmetric couplings is studied. It turns out that there exists a reduced variational equation to the in-phase periodic solution of such a coupled system. By the symmetry one establishes a structural property for the monodromy matrix of the reduced variational equation, which simplifies the computation of multipliers to a great extent. As an application of the above results, a coupled system of three Poincaré oscillators is discussed as well.

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Authors and Affiliations

  1. Department of Mathematics, Wuhan University, 430072, Wuhan, China

    Zeng Xianwu & Du Nailin

  2. Department of Applied Mathematics, Wuhan University of Hydraulic and Electric Engineering, 430072, Wuhan

    Chen Shihua

Authors
  1. Zeng Xianwu
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  2. Du Nailin
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  3. Chen Shihua
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Additional information

Supported by the National Natural Science Foundation of China

Zeng Xianwu: born in Dec. 1938, Professor

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Xianwu, Z., Nailin, D. & Shihua, C. On reduced variational equations of coupled systems. Wuhan Univ. J. Nat. Sci. 2, 147–151 (1997). https://doi.org/10.1007/BF02827817

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  • DOI: https://doi.org/10.1007/BF02827817

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