A Calculation Method on Bifurcation and State Parameter Sensitivity Analysis of Piecewise Mechanical Systems

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

3 Scopus Citations
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  • Hui Zhang
  • Xian-Feng Li
  • Andrew Y. T. Leung


Original languageEnglish
Article number2030033
Journal / PublicationInternational Journal of Bifurcation and Chaos
Issue number11
Publication statusPublished - 15 Sept 2020


The paper proposes a novel calculation method on the sensitivity analysis of bifurcation parameters and states in a single-degree-of-freedom (SDoF) impacting system. It presents the causes to (non-) smooth bifurcations in virtue of parameter sensitivity analysis. The derivation of the system's Poincaré mappings is used to integrate the Floquet matrix. It performs the identifications of the main and the most sensitive bifurcation parameters by disturbing the eigenvalues of Floquet matrix. Moreover, the ones that have appreciable effect on the dynamic characteristics of the system can be effectively identified from entire bifurcation parameters and states. The coexistence of distinct attractors is demonstrated with the parameter sensitivity analysis on the Floquet matrix associated with bifurcation parameters and states. It also considers the cooperating dynamic performance on the two-dimensional parameter space by varying different pairs of bifurcation parameters.

Research Area(s)

  • most sensitive bifurcation parameters, parameter sensitivity analysis, Piecewise mechanical system, state sensitivity analysis