Dynamics in HP^1

Prelegent(ci)

Henryk Żołądek

Afiliacja

Uniwersytet Warszawski

Termin

19 października 2007 10:15

Pokój

p. 5840

Seminarium

Seminarium Zakładu Układów Dynamicznych

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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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