TY - JOUR
T1 - Lyapunov exponents and partial hyperbolicity of chain control sets on flag manifolds
AU - Da Silva, Adriano
AU - Kawan, Christoph
N1 - Publisher Copyright:
© 2019, The Hebrew University of Jerusalem.
PY - 2019/8/1
Y1 - 2019/8/1
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
DO - 10.1007/s11856-019-1893-3
M3 - Article
AN - SCOPUS:85068906126
SN - 0021-2172
VL - 232
SP - 947
EP - 1000
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 2
ER -