Characterization of hyperbolicity and applications (CROSBI ID 581445)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Slijepčević, Siniša
engleski
Characterization of hyperbolicity and applications
J. Mather characterized uniform hyperbolicity of a discrete dy- namical system as equivalent to invertibility of an operator on the set of all sequences bounded in norm in the tangent bundle of an orbit. We develop a similar characterization of nonuniform hyperbolicity and show that it is equiv- alent to invertibility of the same operator on a larger, Fréchet space. We apply it to obtain a condition for a di¤eomorphism on the boundary of the set of Anosov di¤eomorphisms to be nonuniformly hyperbolic. Finally we generalise the Shadowing lemma in the same context.
Hyperbolicity; Lyapunov exponents; shadowing; Anosov maps
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o prilogu
2011.
objavljeno
Podaci o matičnoj publikaciji
Equadiff 2011
Podaci o skupu
Equadiff 2011, Loughborough
predavanje
01.08.2011-05.08.2011
Ujedinjeno Kraljevstvo