Noise Effect in a Nonlinear System Under Harmonic Excitation

불규칙한 외부 교란이 주기적 가진을 받는 비선형계의 동적 특성에 미치는 영향

  • 박시형 (서울대학교 대학원 항공우주공학과) ;
  • 김지환 (서울대학교 공과대학 항공우주공학과)
  • Published : 1998.06.01

Abstract

Dynamic characteristics are investigated when a nonlinear system showing periodic and chaotic responses under harmonic excitation is exposed to random perturbation. Approach for both qulitative and quantitative analysis of the noise effect in a nonlinear system under harmonic excitation is presented. For the qualitative analysis, Lyapunov exponents are calculated and Poincar map is illustrated. For the quatitative analysis. Fokker-Planck equatin is solved numerical by means of a Path-integral solution procedure. Eigenvalue problem obtained from the numerical caculation is solved and the relation of eigenvalue, eigenvector and chaotic motion is investigated.

Keywords

References

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