Minimal subsets of projective flows Kristian Bjerkloev, Russell Johnson Abstract 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. Discr. Cont. Dynam. Sys., 9 (2008), pp. 493-516
Minimal subsets of projective flows / BJERKLOEV K; R. JOHNSON. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - STAMPA. - 9:(2008), pp. 493-516. [10.3934/dcdsb.2008.9.493]
Minimal subsets of projective flows
JOHNSON, RUSSELL ALLAN
2008
Abstract
Minimal subsets of projective flows Kristian Bjerkloev, Russell Johnson Abstract 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. Discr. Cont. Dynam. Sys., 9 (2008), pp. 493-516
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