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

Autor(es)

Da Silva, Adriano ^[1] ; Kawan, Christoph ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Israel Journal of Mathematics; v. 232, n. 2, p. 947-1000, AUG 2019.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 16/11135-2 - Sistemas lineares em grupos de Lie e estruturas quase-Riemannianas
• Beneficiário: Adriano João da Silva
• Modalidade de apoio: Auxílio à Pesquisa - Regular