Classification of diffeomorphisms of \(\mathbb{S}^4\) induced by quaternionic Riccati equations with periodic coefficients

DOI10.12775/TMNA.2009.014zbMath1190.37016OpenAlexW2555896506MaRDI QIDQ1039200

Henryk Żołądek

Publication date: 27 November 2009

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2009.014

zbMATH Keywords

Möbius mapquaternionic Riccati equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic orbits of vector fields and flows (37C27) Nonautonomous smooth dynamical systems (37C60)

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Numerical solutions of quaternionic Riccati equations ⋮ Low-dimensional dynamics in non-Abelian Kuramoto model on the 3-sphere ⋮ Quaternionic-valued ordinary differential equations. II: Coinciding sectors ⋮ Global solvability criteria for quaternionic Riccati equations ⋮ Existence of periodic solutions to quaternion-valued impulsive differential equations

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