Classification of diffeomorphisms of $\mathbb S^4$ induced by queternionic Riccati equations with periodic coefficients
Keywords
Quaternionic Riccati equation, Möbius map, periodic solutionAbstract
The monodromy maps for the quaternionic Riccati equations with periodic coefficients $\dot{z}=zp(t)z+q(t)z+zr(t)+s(t)$ in $\mathbb H\mathbb P^{1}$ are quternionic Möbius transformations. We prove that, like in the case of automorphisms of $\mathbb C\mathbb P^{1}$, the quaternionic homografies are divided into three classes: hyperbolic, elliptic and parabolic.Downloads
Published
2009-06-01
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1.
ŻOŁĄDEK, Henryk. Classification of diffeomorphisms of $\mathbb S^4$ induced by queternionic Riccati equations with periodic coefficients. Topological Methods in Nonlinear Analysis. Online. 1 June 2009. Vol. 33, no. 2, pp. 205 - 215. [Accessed 25 April 2024].
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