This paper is devoted to the qualitative study of disconjugate random linear Hamiltonian systems. We relate the principal solutions at +/-infinity with the ergodic structure of the flow, the presence of exponential dichotomy, and the description of the Sacker-Sell spectrum. A continuity theorem for the principal solutions is also provided.
An ergodic and topological approach to disconjugate linear Hamiltonian systems / R. JOHNSON; S. NOVO; R. OBAYA. - In: ILLINOIS JOURNAL OF MATHEMATICS. - ISSN 0019-2082. - STAMPA. - 45:(2001), pp. 803-822. [10.1215/ijm/1258138152]
An ergodic and topological approach to disconjugate linear Hamiltonian systems
JOHNSON, RUSSELL ALLAN;
2001
Abstract
This paper is devoted to the qualitative study of disconjugate random linear Hamiltonian systems. We relate the principal solutions at +/-infinity with the ergodic structure of the flow, the presence of exponential dichotomy, and the description of the Sacker-Sell spectrum. A continuity theorem for the principal solutions is also provided.
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