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Transition sets of bifurcations of dynamical systems with two state variables with constraints

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Abstract

Bifurcation of periodic solutions widely exists in nonlinear dynamical systems. In this paper, categories of bifurcations of systems with two state variables with different types of constraints are discussed, where some new types of transition sets are added. Additionally, the bifurcation properties of two-dimensional systems without constraints are compared with the ones with constraints. The results obtained in this paper can be used by engineers for the choice of the structural parameters of the systems.

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Authors and Affiliations

  1. School of Astronautics, Harbin Institute of Technology, P. O. Box 137, Harbin, 150001, P. R. China

    Jun Li  (李 军) & Yu-shu Chen  (陈予恕)

Authors
  1. Jun Li  (李 军)
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  2. Yu-shu Chen  (陈予恕)
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Corresponding author

Correspondence to Yu-shu Chen  (陈予恕).

Additional information

Project supported by the National Natural Science Foundation of China (No. 10632040)

Contributed by Yu-shu CHEN

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Li, J., Chen, Ys. Transition sets of bifurcations of dynamical systems with two state variables with constraints. Appl. Math. Mech.-Engl. Ed. 33, 139–154 (2012). https://doi.org/10.1007/s10483-012-1539-7

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  • DOI: https://doi.org/10.1007/s10483-012-1539-7

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

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