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原文連結
論文資訊
- 類型：已發表論文
- 日期：2000
摘要
We examine the one-humped map at the period-doubling transition to 混沌, and ask whether its long-term memory is stack-like (last-in, first-out) or queue-like (first-in, first-out). We show that it can be recognized by a real-time automaton with one queue, or two stacks, and give several new grammatical characterizations of it. We argue that its memory has a queue-like character, since a single stack does not suffice. We also show that its dynamical zeta function, generating function and growth function are transcendental. The same results hold for any period-multiplying cascade. We suggest that transcendentality might be a sign of dynamical 相變s in other systems as well. (C) 2000 Elsevier Science B.V. All rights reserved.
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