PhysRevE.77.031113.pdf (577.01 kB)
Excitable systems with noise and delay with applications to control: renewal theory approach
journal contribution
posted on 2014-06-20, 14:47 authored by Andrey Pototsky, Natalia JansonNatalia JansonWe present an approach for the analytical treatment of excitable systems with noise-induced dynamics in the
presence of time delay. An excitable system is modeled as a bistable system with a time delay, while another
delay enters as a control term taken after Pyragas K. Pyragas, Phys. Lett. A 170, 421 1992 as a difference
between the current system state and its state time units before. This approach combines the elements of
renewal theory to estimate the essential features of the resulting stochastic process as functions of the parameters
of the controlling term.
History
School
- Science
Department
- Mathematical Sciences
Published in
Physical Review E: Statistical, Nonlinear, and Soft Matter PhysicsVolume
77Issue
3Pages
Art No. 031113 - ?Citation
POTOTSKY, A. and JANSON, N.B., 2008. Excitable systems with noise and delay with applications to control: renewal theory approach. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 77, 031113.Publisher
© The American Physical SocietyVersion
- VoR (Version of Record)
Publication date
2008Notes
This article was published in the journal, Physical Review E [© The American Physical Society].ISSN
1539-3755Publisher version
Language
- en