{ "id": "cond-mat/0007074", "version": "v1", "published": "2000-07-05T14:01:32.000Z", "updated": "2000-07-05T14:01:32.000Z", "title": "Robust chaos generation by a perceptron", "authors": [ "A. Priel", "I. Kanter" ], "comment": "7 pages, 5 figures (reduced quality), accepted for publication in EuroPhysics Letters", "journal": "EuroPhysics Letters 51 (2), p. 230 (2000)", "doi": "10.1209/epl/i2000-00521-4", "categories": [ "cond-mat.dis-nn", "nlin.CD" ], "abstract": "The properties of time series generated by a perceptron with monotonic and non-monotonic transfer function, where the next input vector is determined from past output values, are examined. Analysis of the parameter space reveals the following main finding: a perceptron with a monotonic function can produce fragile chaos only whereas a non-monotonic function can generate robust chaos as well. For non-monotonic functions, the dimension of the attractor can be controlled monotonically by tuning a natural parameter in the model.", "revisions": [ { "version": "v1", "updated": "2000-07-05T14:01:32.000Z" } ], "analyses": { "keywords": [ "robust chaos generation", "perceptron", "non-monotonic function", "past output values", "non-monotonic transfer function" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }