Dynamics in HP^1

Speaker(s)

Henryk Żołądek

Affiliation

Uniwersytet Warszawski

Date

Oct. 19, 2007, 10:15 a.m.

Room

room 5840

Seminar

Seminar of Dynamical Systems Group

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The monodromy maps for quaternionic Riccati equations with periodic coefficients $\dot{z}=zp(t)z+q(t)z+zr(t)+s(t)$ in HP^1 are quaternionic Mobius transformations. I prove that, like in the case of automorphisms of CP^1, the quaternionic homographies are divided into three classes: hyperbolic, elliptic and parabolic.

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