3 papers
nlin.CD2026
Integral of an alpha unpredictable function
M. U. Akhmet, N. Tilessov
The present paper is devoted to the study of integral properties of alpha unpredictable functions. The problem of invariance of recurrence under integration is one of the most chal…
math.DS2026
Almost Periodicity in Exponential Dichotomous Linear Dynamics with Piecewise Constant Argument
Marat Akhmet, Furkan Duraner
The paper examines an inhomogeneous system of differential equations with generalized piecewise constant arguments. The focus of the research is on the almost periodicity of both t…
nlin.CD2025
How one can assess the chaos?
Marat Akhmet
We propose an uncertainty principle for chaos, focusing on two key characteristics: alpha unpredictability and Lorenz sensitivity. This principle outlines a limitation on the relat…