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

Adriano Da Silva; Christoph Kawan

doi:10.1007/s11856-019-1893-3

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

Adriano Da Silva
, Christoph Kawan

Universidade Estadual de Campinas
Ludwig Maximilian University of Munich

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

4 Citas (Scopus)

Resumen

For a right-invariant control system on a flag manifold F_Θ of a real semisimple Lie group, we relate the a-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_Θ.

Idioma original	Inglés
Páginas (desde-hasta)	947-1000
Número de páginas	54
Publicación	Israel Journal of Mathematics
Volumen	232
N.º	2
DOI	https://doi.org/10.1007/s11856-019-1893-3
Estado	Publicada - 1 ago 2019
Publicado de forma externa	Sí

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title = "Lyapunov exponents and partial hyperbolicity of chain control sets on flag manifolds",

abstract = "For a right-invariant control system on a flag manifold FΘ of a real semisimple Lie group, we relate the a-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 FΘ.",

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AU - Kawan, Christoph

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N2 - For a right-invariant control system on a flag manifold FΘ of a real semisimple Lie group, we relate the a-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 FΘ.

AB - For a right-invariant control system on a flag manifold FΘ of a real semisimple Lie group, we relate the a-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 FΘ.

UR - https://www.scopus.com/pages/publications/85068906126

U2 - 10.1007/s11856-019-1893-3

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

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