Qualitative behavior of the solutions
In this chapter, our objective is to understand the behavior of the solutions to 2 × 2 systems of ordinary differential equations. In particular, we consider only those systems of ODEs for which global solutions exist and ask questions like: Is the solution bounded? Does the limit of the solution as...
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| Format: | Buchkapitel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this chapter, our objective is to understand the behavior of the solutions to
2
×
2
systems of ordinary differential equations. In particular, we consider only those systems of ODEs for which global solutions exist and ask questions like: Is the solution bounded? Does the limit of the solution as
t
→
∞
exist? If it exists, then what is it? Is the solution periodic? and so on. |
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| DOI: | 10.1201/9781003153757-6 |