确定性进化中的自主选择--作为不确定性来源的规律
Autonomous choices among deterministic evolution-laws as source of uncertainty
摘要：
我们提供了证据的极端形式的对初始条件的敏感性在一个家庭的一维自治动力系统。我们证明了某些超混沌序列是这些伪随机动力系统轨道的封闭表达式。这个家族中的每个混沌系统都表现出对初始条件的对初始条件的敏感性，它包含了在某些映射集合中演化规则的选择序列。这为在确定性混沌中的内在不确定性的基础上扩展当前的复杂行为理论提供了可能性。
英文摘要：
We provide evidence of an extreme form of sensitivity to initial conditions in a family of one-dimensional self-ruling dynamical systems. We prove that some hyperchaotic sequences are closed-form expressions of the orbits of these pseudo-random dynamical systems. Each chaotic system in this family exhibits a sensitivity to initial conditions that encompasses the sequence of choices of the evolution rule in some collection of maps. This opens a possibility to extend current theories of complex behaviors on the basis of intrinsic uncertainty in deterministic chaos.
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