arXiv subjects

A. V. Apkarian

Publications and source records attributed to A. V. Apkarian.

2 recordsLinked to original sources

arXiv2002

Some Applications of the Difference Analysis for Stochastic Systems

The work relates to a new way for analysis of one-dimensional stochastic systems, based on consideration of its higher order difference structure. From this point of view, the deterministic and random processes are analyzed. A new numerical characteristic for one-dimensional stochastic systems is introduced. The applications to single neuron models and neural networks are given.

nlin.CD↗

arXiv2000

The Periodic Response of Periodically Perturbated Stochastic Systems

The paper introduces a new numerical characteristic of one dimensional stochastic systems. This quantity is a measure of minimal periodicity, can be detected in the process deep differential structure. The claim is that this new measure of stochasticity is also a well adapted characteristic for research of stochastic resonance phenomena.

math.DS↗