单峰映射中超几何收敛行为的符号动力学

Symbolic dynamics for hyper-geometrical convergence in unimodal maps

讨论了一维符号动力学中现有合成律及其局限性 ,解决了单峰映射中周期数以 Fibonacci数序列递增的 MSS词序列的符号动力学合成律问题 ,从而实质性地扩展了现有的合成律 ,并为下一步研究打下了较好的基础。

We hereby present the symbolic dynamical solution to the hyper-geometrical converging behavior in the unimodal maps.Our result will expand the knowledge of composition law in symbolic dynamics and arise many interesting problems.