2015 年 135 巻 4 号 p. 468-469
In this paper, we propose a computational method of border-collision bifurcation point for piecewise nonlinear discrete-time dynamical systems. First, an n-dimensional piecewise nonlinear discrete-time dynamical system is defined. Next, we show the conditional equation of border-collision bifurcation and propose the derivation method of the bifurcation points in specific terms. Finally, we confirm the validity of the method by applying it to a two-dimensional piecewise nonlinear discrete-time dynamical system.
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