Transition Sets of Bifurcations of Dynamical System With Two State Variables With Constraints
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摘要: 周期解的分岔广泛存在于实际的非线性动力学系统中.该文对两个状态变量系统的约束分岔进行了讨论.在约束条件下系统将产生新的转迁集.此外,以一个二维系统为例,对含有约束条件和不含有约束条件的分岔特性进行了比较.所得的结果可以为系统的设计和参数选择提供理论依据.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.
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Key words:
- bifurcation /
- constraint /
- singularity theory /
- nonlinear dynamics /
- two state variables
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