Transition Sets of Bifurcations of Dynamical System With Two State Variables With Constraints

LI Jun; CHEN Yu-shu

doi:10.3879/j.issn.1000-0887.2012.02.001

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LI Jun, CHEN Yu-shu. Transition Sets of Bifurcations of Dynamical System With Two State Variables With Constraints[J]. Applied Mathematics and Mechanics, 2012, 33(2): 135-152. doi: 10.3879/j.issn.1000-0887.2012.02.001

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Transition Sets of Bifurcations of Dynamical System With Two State Variables With Constraints

doi: 10.3879/j.issn.1000-0887.2012.02.001

LI Jun,
CHEN Yu-shu

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

Received Date: 2011-08-19
Rev Recd Date: 2011-12-04
Publish Date: 2012-02-15

Abstract

Abstract

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

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References(11)

References

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