Abstract
In this paper, a numerical method is presented for proving the existence and inclusion of connecting orbits of continuous dynamical systems described by parameterized nonlinear ordinary differential equations. Taking a certain second order nonlinear ordinary differential equaiton as an example, the existence of homoclinic bifurcation points is proved by the method.
| Original language | English |
|---|---|
| Pages (from-to) | 193-201 |
| Number of pages | 9 |
| Journal | Journal of Universal Computer Science |
| Volume | 4 |
| Issue number | 2 |
| Publication status | Published - 1998 Dec 1 |
Keywords
- Connecting Orbits
- Defining Equation of Stable-Manifolds
- Numerical Verification of Existence of Nonlinear boundary Value Problems
ASJC Scopus subject areas
- Theoretical Computer Science
- Computer Science(all)