Observability of real analytic vector fields on compact manifolds

1995 ◽  
Vol 26 (2) ◽  
pp. 87-93 ◽  
Author(s):  
Ph. Jouan
Keyword(s):  
Vector Fields ◽  
Compact Manifolds ◽  
Analytic Vector ◽  
Real Analytic

scholarly journals Quasianalytic Ilyashenko Algebras

2018 ◽  
Vol 70 (1) ◽  
pp. 218-240 ◽  
Author(s):  
Patrick Speissegger
Keyword(s):  
Power Series ◽  
Asymptotic Expansions ◽  
Vector Fields ◽  
Analytic Vector ◽  
Generalized Power Series ◽  
Real Functions ◽  
Real Analytic

AbstractWe construct a quasianalytic field of germs at +∞ of real functions with logarithmic generalized power series as asymptotic expansions, such that is closed under differentiation and log-composition; in particular, is a Hardy field. Moreover, the field o (−log) of germs at 0+ contains all transition maps of hyperbolic saddles of planar real analytic vector fields.

Algebraic and Computational Formulas for the Index of Real Analytic Vector Fields

2010 ◽  
Vol 59 (1-2) ◽  
pp. 125-139
Author(s):  
Víctor Castellanos ◽  
Abel Castorena ◽  
Manuel Cruz-López
Keyword(s):  
Vector Fields ◽  
Analytic Vector ◽  
Real Analytic
Sign in / Sign up

Export Citation Format

Share Document