On the growth rate of periodic orbits for vector fields
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2019.01.048
Abstract: We establish the relationship between the growth rate of periodic orbits and the topological entropy for $C^1$ generic vector fields: this extends a classical result of Katok for $C^{1+\alpha}(\alpha>0)$ surface diffeomorphisms to $C^1$ generic vector… read more here.
Keywords: rate periodic; growth rate; vector fields; periodic orbits ... See more keywords
Two-rate periodic protocol with dynamics driven through many cycles
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DOI: 10.1103/physrevb.95.085141
Abstract: We study the long time dynamics in closed quantum systems periodically driven via time dependent parameters with two frequencies $\omega_1$ and $\omega_2=r \omega_1$. Tuning of the ratio $r$ there can unleash plenty of dynamical phenomena… read more here.
Keywords: two rate; rate periodic; periodic protocol; rate ... See more keywords