Minimal subsets of projective flows

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May 2008, 9(3&4, May): 493-516. doi: 10.3934/dcdsb.2008.9.493

Minimal subsets of projective flows

Kristian Bjerklöv ^1, and Russell Johnson ^2,

1.	Department of Mathematics and Statistics, Queen's University, Kingston, ON Canada K7L 3N6, Canada
2.	Dipartimento di Sistemi e Informatica, Università di Firenze, Via di S. Marta 3, 50139 Firenze

Received January 2007 Revised June 2007 Published February 2008

Abstract
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We study the minimal subsets of the projective flow defined by a two-dimensional linear differential system with almost periodic coefficients. We show that such a minimal set may exhibit Li-Yorke chaos and discuss specific examples in which this phenomenon is present. We then give a classification of these minimal sets, and use it to discuss the bounded mean motion property relative to the projective flow.

Keywords: almost periodic coefficients., projective flows, minimal subsets, Li-Yorke chaos.

Mathematics Subject Classification: Primary: 37B55, 37D25, 34C2.

Citation: Kristian Bjerklöv, Russell Johnson. Minimal subsets of projective flows. Discrete & Continuous Dynamical Systems - B, 2008, 9 (3&4, May) : 493-516. doi: 10.3934/dcdsb.2008.9.493

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