Quaternionic-valued ordinary differential equations. The Riccati equation
By Paweł Wilczyński. 2009
57 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Astronomy and Astrophysics
View Paper: https://www.semanticscholar.org/paper/8429b06469f22da461bc194caa92ad8f685e1038
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In Applied Mathematics
In Astronomy and Astrophysics
Citations in the corpus
- Global Structure of Quaternion Polynomial Differential Equations (2014, background): “Wilczy´ nski [ 31 ] continued this study and paid more attention to the existence of two periodic solutions of quaternion Riccati equations.”