We consider the set (D of two-dimensional, quasi-periodic, traceless linear systems with a fixed number k≥Z of frequencies, which exhibit an exponential dichotomy. We shoiu that d) is generic in the C°-topology in the set of all such two-dimensional linear systems.
Genericity of exponential dichotomy for two-dimensional differential systems / R. FABBRI; R. JOHNSON. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - 178:(2000), pp. 175-193. [10.1007/BF02505894]
Genericity of exponential dichotomy for two-dimensional differential systems
FABBRI, ROBERTA;JOHNSON, RUSSELL ALLAN
2000
Abstract
We consider the set (D of two-dimensional, quasi-periodic, traceless linear systems with a fixed number k≥Z of frequencies, which exhibit an exponential dichotomy. We shoiu that d) is generic in the C°-topology in the set of all such two-dimensional linear systems.
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