Geometry of Riccati equations over normed division algebras

DOI10.1016/j.jmaa.2016.03.031zbMath1381.34030arXiv1603.01413OpenAlexW2301346789MaRDI QIDQ269456

Javier de Lucas, Silvia Vilariño, Mariusz Tobolski

Publication date: 18 April 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.01413

zbMATH Keywords

Riccati equationoctonionLie systemnormed division algebraquaternion quantum mechanicsVessiot-Guldberg Lie algebra

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Geometric methods in ordinary differential equations (34A26) Functions of hypercomplex variables and generalized variables (30G35) PDEs in connection with quantum mechanics (35Q40) Nonassociative division algebras (17A35)

Related Items (4)

Kink solitary solutions to generalized Riccati equations with polynomial coefficients ⋮ Low-dimensional dynamics in non-Abelian Kuramoto model on the 3-sphere ⋮ Coherent and Squeezed States: Introductory Review of Basic Notions, Properties, and Generalizations ⋮ Quasi-Lie schemes for PDEs

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