Abstract
Most work on manifold study focuses on two-dimensional manifolds and there have been proposed some good computing methods. However, the computation of two-dimensional manifold is still a hot research field. In this paper the two-dimensional manifold of hyperbolic equilibria for vector fields is computed by combining self-adaptive parameter with trajectories continuation, approximating the local manifold with an ellipse around the equilibria, extending the trajectory with equal distance, and adjusting the trajectory with self-adaptive parameter. This method is more accurate than the ″trajectories and arc-length method″, and better shows the trend of the manifolds than the ″box covering method″.
Original language | English |
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Pages (from-to) | 7686-7692 |
Number of pages | 7 |
Journal | Wuli Xuebao/Acta Physica Sinica |
Volume | 59 |
Issue number | 11 |
State | Published - Nov 2010 |
Keywords
- Manifolds
- Non-liner system
- Self-adaptive parameter
- Trajectories continuation