Lyapunov exponents and partial hyperbolicity of chain control sets on flag manifolds

Da Silva, Adriano; Kawan, Christoph

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Lyapunov exponents and partial hyperbolicity of chain control sets on flag manifolds

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Author(s):	Da Silva, Adriano ^[1] ; Kawan, Christoph ^[2] Total Authors: 2
Affiliation:	^[1] Univ Estadual Campinas, Dept Matemat, Rua Sergio Buarque de Holanda, BR-13083859 Campinas, SP - Brazil ^[2] Ludwig Maximilians Univ Munchen, Inst Informat, Oetttingenstr 67, D-80538 Munich - Germany Total Affiliations: 2
Document type:	Journal article
Source:	Israel Journal of Mathematics; v. 232, n. 2, p. 947-1000, AUG 2019.
Web of Science Citations:	0
Abstract
For a right-invariant control system on a flag manifold F-Theta of a real semisimple Lie group, we relate the alpha-Lyapunov exponents to the Lyapunov exponents of the system over regular points. Moreover, we adapt the concept of partial hyperbolicity from the theory of smooth dynamical systems to control-affine systems, and we completely characterize the partially hyperbolic chain control sets on F-Theta. (AU)

FAPESP's process:	16/11135-2 - Linear systems on Lie groups and almost-Riemannian structures
Grantee:	Adriano João da Silva
Support Opportunities:	Regular Research Grants

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