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Beyond Chaos

Author:

Leon, Antonio

Category:

Research Papers

Sub-Category:

Mathematics and Applied Mathematics

Language:

English

Date Published:

April 21, 2020

File:

/Research Papers-Mathematics and Applied Mathematics/Download/8205

Downloads:

239

Keywords:

chaos, attractors, orbital attractors, order, transition chaos-order

Abstract:

The first part of this paper defines recursive interactions by means of logistic functions and derives a general result on the way interacting systems evolve in attractors. It also defines the notion of coevolution trajectory and presents a new family of attractors: orbital attractors (including single, irregular, folded, complex and discontinuous orbits). The second part summarizes the results of a first experimental analysis of recursive interactions in both binary and multiple interactions. Among other results, this analysis reveals that interacting systems may easily evolve from chaos to order.