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Chaotic behavior of a nonlinear oscillator

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Abstract

Behavior of bifurcation and chaos in a forced oscillator

$$\bar x_1 + \bar \delta \dot x_1 + \omega _0^2 x_1 - \bar \beta x_1^2 = \bar f\cos \omega \tau$$

containing a square nonlinear term is investigated by using Mel'nikov method and digital computer simulations.

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Authors and Affiliations

  1. Changsha Railway University, Changsha

    Pei Qin-yuan

  2. Peking Polytechnic University, Beijing

    Li Li

Authors
  1. Pei Qin-yuan
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  2. Li Li
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The project supported by the National Natural Science Foundation of China

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Qin-yuan, P., Li, L. Chaotic behavior of a nonlinear oscillator. Appl Math Mech 14, 395–405 (1993). https://doi.org/10.1007/BF02453760

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  • DOI: https://doi.org/10.1007/BF02453760

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