Periodic orbits in periodic discrete dynamics
نویسندگان
چکیده
منابع مشابه
Periodic orbits in periodic discrete dynamics
5 We study the combinatorial structure of periodic orbits of nonautonomous difference 6 equations xn+1 = fn(xn) in a periodically fluctuating environment. We define the 7 Γ-set to be the set of minimal periods that are not multiples of the phase period. We 8 show that when the functions fn are rational functions, the Γ-set is a finite set. In 9 particular, we investigate several mathematical mo...
متن کاملOn Periodic Orbits in Discrete-time Cascade Systems
Question. Does system (1.1) have periodic orbits when system (1.2) has periodic orbits? Recently, there have been a lot of researches in the literature on the periodicity of discrete-time dynamical systems [1, 3–8, 10, 11]. However, to the authors’ knowledge the above question has not received investigations, therefore in this paper we study the above question and obtain a fundamental result. O...
متن کاملConvergence Time towards Periodic Orbits in Discrete Dynamical Systems
We investigate the convergence towards periodic orbits in discrete dynamical systems. We examine the probability that a randomly chosen point converges to a particular neighborhood of a periodic orbit in a fixed number of iterations, and we use linearized equations to examine the evolution near that neighborhood. The underlying idea is that points of stable periodic orbit are associated with in...
متن کاملReversible Relative Periodic Orbits
We study the bundle structure near reversible relative periodic orbits in reversible equivariant systems. In particular we show that the vector eld on the bundle forms a skew product system, by which the study of bifurcation from reversible relative periodic solutions reduces to the analysis of bifurcation from reversible discrete rotating waves. We also discuss possibilities for drifts along g...
متن کاملPeriodic orbits in warped disks
It is often assumed that a warped galaxy can be modeled by a set of rings. This paper verifies numerically the validity of this assumption by the study of periodic orbits populating a heavy self-gravitating warped disk. The phase space structure of a warped model reveals that the circular periodic orbits of a flat disk are transformed in quasi annular periodic orbits which conserve their stabil...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2008
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2008.04.020