Semistability of two systems of difference equations using centre manifold theory
| Autor: | Nikolaos Psarros, C. J. Schinas, Garyfalos Papaschinopoulos |
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| Rok vydání: | 2016 |
| Předmět: |
General Mathematics
010102 general mathematics Mathematical analysis General Engineering Zero (complex analysis) Absolute value (algebra) Topology 01 natural sciences Stability (probability) 010101 applied mathematics Centre manifold 0101 mathematics Special case Eigenvalues and eigenvectors Mathematics |
| Zdroj: | Mathematical Methods in the Applied Sciences. 39:5216-5222 |
| ISSN: | 0170-4214 |
| DOI: | 10.1002/mma.3904 |
| Popis: | In this paper, we study the stability of the zero equilibria of the following systems of difference equations: and where a, b, c and d are positive constants and the initial conditions x0 and y0 are positive numbers. We study the stability of those systems in the special case when one of the eigenvalues has absolute value equal to 1 and the other eigenvalue has absolute value less than 1, using centre manifold theory. Copyright © 2016 John Wiley & Sons, Ltd. |
| Databáze: | OpenAIRE |
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