On the Existence of Li-Yorke Points in the Theory of Chaos

The report establishes an addendum to the Li-Yorke theorem, lists the complete set of Li-Yorke inequalities, and provides in the Equivalence theorem nonperiodic conditions equivalent to the known periodic conditions that guarantee chaos. Keywords: Mapping; Continuous functions. (Author)

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Bibliographische Detailangaben
Hauptverfasser:	Bhatia,Nam P, Egerland,Walter O
Format:	Report
Sprache:	eng
Schlagworte:	ASH43 CONTINUITY ENTROPY FUNCTIONS INEQUALITIES Li yorke theorem MAPPING(TRANSFORMATIONS) PE62618A Theoretical Mathematics
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Zusammenfassung:	The report establishes an addendum to the Li-Yorke theorem, lists the complete set of Li-Yorke inequalities, and provides in the Equivalence theorem nonperiodic conditions equivalent to the known periodic conditions that guarantee chaos. Keywords: Mapping; Continuous functions. (Author)