InterJournal Complex Systems, 374
Status: Accepted
Manuscript Number: [374]
Submission Date: 502
Revised On: 519
Locating Self-Organization at the Edge of Chaos
Author(s): Howard Blair

Subject(s): CX.04.01, CX.11, CX.13, CX.14

Category: Brief Article

Abstract:

The problem of characterizing by the values of tunable parameters in the manner of Langton's "edge of chaos" the subsets of CA rule spaces that yield rules in Wolfram's class 4 is addressed. Lagrangian interpolation yields numerical CA rules with tunable parameters. Techniques for locating and searching just inside the boundary of Lyapunov sets is discussed. An example of a rule that yields self-organizing persistent noise-tolerant dynamical structures within CA trajectories that have non-periodic interactions is presented. It is shown how to discretize such CA-rules to recover Boolean-valued CA's by using an encoding governed by the Fibonacci numbers.

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