Article ID Journal Published Year Pages File Type
4612519 Journal of Differential Equations 2009 25 Pages PDF
Abstract

We give some sufficient conditions for the existence of at least two periodic solutions of the quaternionic Riccati equation. In some cases we are able to give a full description of dynamics and detect solutions heteroclinic to the periodic ones. We also provide an example of the Riccati equation without periodic solutions which appears in the Euler vorticity dynamics.

Related Topics
Physical Sciences and Engineering Mathematics Analysis