| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4631162 | Applied Mathematics and Computation | 2011 | 14 Pages |
Abstract
The new existence conditions of homoclinic orbits for the system of ordinary quadratic differential equations are founded. Further, the realization of these conditions together with the Shilnikov Homoclinic Theorem guarantees the existence of a chaotic attractor at 3D autonomous quadratic system. Examples of the chaotic attractors are given.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Vasiliy Ye. Belozyorov,