| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8054411 | Applied Mathematics Letters | 2016 | 7 Pages |
Abstract
In this work we study complete integrability and time-reversibility of three dimensional polynomial systems with a singularity at the origin at which the linear part has a zero eigenvalue and a pair of eigenvalues that are the negatives of one another. An approach to finding systems within a given parametric family admitting two independent analytic local first integrals in a neighborhood of the origin is proposed and applied to a family of cubic systems.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Valery G. Romanovski, Douglas S. Shafer,