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The limit set of trajectory in quasi-homogeneous system in ℝ.
- Source :
-
Applicable Analysis . Jul2012, Vol. 91 Issue 7, p1279-1297. 19p. - Publication Year :
- 2012
-
Abstract
- In this article, we study the limit set of trajectory in three-dimensional quasi-homogeneous system. For the trajectory which is close to a singular curve, we show that either it approaches a fixed point or infinity, or it oscillates. Moreover, an oscillating example is given. The behaviour of trajectory which is near a closed orbit is also studied. At the end, we classify the integral manifolds of the system with isolated singularities. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 91
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 76488101
- Full Text :
- https://doi.org/10.1080/00036811.2011.567193