The structure of the bounded trajectories set of a scalar convex differential equation

DOI10.1017/S0308210500002389zbMath1033.37009OpenAlexW2011169631WikidataQ115335957 ScholiaQ115335957MaRDI QIDQ4431176

Rafael Obaya, Ana Isabel Alonso

Publication date: 13 October 2003

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500002389

zbMATH Keywords

Lyapunov exponentsalmost-periodic solutionstopological structureergodic propertiesbounded trajectoriesrecurrent solutionsalmost-automorphic solutionsscalar convex differential equation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Dynamics induced by flows and semiflows (37C10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

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