A specification of the linear system theory over dioids is proposed for periodic systems. Using the conventional periodic system theory as a guideline, we study periodic systems for which the underlying algebraic structure is a dioid. The focus is on representations (impulse response and state model) associated with such systems, the properties of these representations as well as the state spac...

RÉSUMÉ. ABSTRACT. This paper analyses the probabilistic structure of a subclass of periodic bilinear time series. The proposed class of stochastic processes, of which the linear model is a special case, is based on a generalized autoregressive representation. Under general and tractable assumptions, we examine the periodic stationarity, the existence of higher order moments and the geometric er...

Motivated by the chaos suppression methods based on stabilizing an unstable periodic orbit, we study the stability of synchronized periodic orbits of coupled map systems when the period of the orbit is the same as the delay in the information transmission between coupled units. We show that the stability region of a synchronized periodic orbit is determined by the Floquet multiplier of the peri...

In this study, a time-series analysis is applied to the daily accidents between periods January 1, 2019 and December 31, of Turkey. The most important feature data used in study official traffic accident records kept by law enforcement units. Regarding these data, appropriate time series model determined it examined whether there are periodic components or not. It observed that first-order inte...