On Nonergodic Uniform Lotka–Volterra Operators

On Nonergodic Uniform Lotka–Volterra Operators

In this paper, we introduce uniform Lotka–Volterra operators and construct Lyapunov functions for them. We establish that the ergodic averages associated with operators of such kind diverge.

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Veröffentlicht in:Mathematical Notes 2019, Vol.105 (1-2), p.258-264
Hauptverfasser: Mukhamedov, F. M., Jamilov, U. U., Pirnapasov, A. T.
Format: Artikel
Sprache:eng
Schlagworte:
Liapunov functions
Mathematics
Mathematics and Statistics
Operators
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Beschreibung
Zusammenfassung:In this paper, we introduce uniform Lotka–Volterra operators and construct Lyapunov functions for them. We establish that the ergodic averages associated with operators of such kind diverge.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434619010280