Abstract
The aim of this work is to establish a number of elementary properties about the topology and algebra of real quadratic homogeneous mappings and Riccati type ODEs occurring in Clifford Algebras. We construct an example of the quadratic vector field to show the impact of the spectral properties on qualitative theory.
Mathematics Subject Classification (2010). Primary 17A01, 34G20, 11E04, 35E20; Secondary 35F05.
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© 2014 Springer International Publishing Switzerland
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Krasnov, Y. (2014). Spectral Properties of Differential Equations in Clifford Algebras. In: Bernstein, S., Kähler, U., Sabadini, I., Sommen, F. (eds) Hypercomplex Analysis: New Perspectives and Applications. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-08771-9_14
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DOI: https://doi.org/10.1007/978-3-319-08771-9_14
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-08770-2
Online ISBN: 978-3-319-08771-9
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