广义迭代、突变和广义Sharkovsky序
Generalized iteration, catastrophes and generalized Sharkovsky's ordering
摘要：
我们定义将n维向量空间映射到m维向量空间（m至多等于n）的函数的迭代。通常的迭代法和Fibonacci迭代法成为这种广义迭代法的特例。数学对象，如轨道，分叉，混沌，Feigenbaum常数，（广义）Sharkovsky序，（广义）Julia和Mandelbrot集和一种新的灾难可以发现和研究在这个扩大的范围内。
英文摘要：
We define iteration of functions that map n-dimensional vector spaces into m-dimensional vector spaces (m at most equal to n). It happens that usual iteration and Fibonacci iterative methods become special cases of this generalized iteration. Mathematical objects such as orbits, bifurcations, chaos, Feigenbaum constant, (generalized) Sharkovsky ordering, (generalized) Julia and Mandelbrot sets and a new kind of catastrophe can be found and studied in this enlarged context.
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