Phase-transition-like phenomenon in a piecewise linear map

We introduce a one-hump fully developed chaotic piecewise linear map with a control parameter which tunes the shape and therefore the value of the Lyapounov exponent of the map. The graph of the Lyapounov exponent as a function of this parameter shows several discontinuities, which are explained both qualitatively and quantitatively.

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Year of publication:	1990
Authors:	Kluiving, R. ; Capel, H.W. ; Pasmanter, R.A.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 164.1990, 3, p. 593-624
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010586770