کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4614970 | 1339304 | 2015 | 13 صفحه PDF | دانلود رایگان |
For an interval map, the poles of the Artin–Mazur zeta function provide topological invariants which are closely connected to topological entropy. It is known that for a time-periodic nonautonomous dynamical system F with period p, the p -th power [ζF(z)]p[ζF(z)]p of its zeta function is meromorphic in the unit disk. Unlike in the autonomous case, where the zeta function ζf(z)ζf(z) only has poles in the unit disk, in the p -periodic nonautonomous case [ζF(z)]p[ζF(z)]p may have zeros. In this paper we introduce the concept of spectral invariants of p -periodic nonautonomous discrete dynamical systems and study the role played by the zeros of [ζF(z)]p[ζF(z)]p in this context. As we will see, these zeros play an important role in the spectral classification of these systems.
Journal: Journal of Mathematical Analysis and Applications - Volume 430, Issue 1, 1 October 2015, Pages 85–97