Generalized synchronization of chaos for secure communication: Remarkable stability to noise

OI Moskalenko, AA Koronovskii, AE Hramov - Physics Letters A, 2010 - Elsevier
A new method for secure information transmission based on generalized synchronization is
proposed. The principal advantage of it is a remarkable stability to noise. To reveal this …

Zero Lyapunov exponent in the vicinity of the saddle-node bifurcation point in the presence of noise

AE Hramov, AA Koronovskii, MK Kurovskaya - Physical Review E—Statistical …, 2008 - APS
We consider a behavior of the zero Lyapunov exponent in the vicinity of the bifurcation point
that occurs as the result of the interplay between dynamical mechanisms and random …

Synchronizing noisy nonidentical oscillators by transient uncoupling

A Tandon, M Schröder, M Mannattil, M Timme… - … Journal of Nonlinear …, 2016 - pubs.aip.org
Synchronization is the process of achieving identical dynamics among coupled identical
units. If the units are different from each other, their dynamics cannot become identical; yet …

Generalized synchronization in discrete maps. New point of view on weak and strong synchronization

AA Koronovskii, OI Moskalenko, SA Shurygina… - Chaos, Solitons & …, 2013 - Elsevier
In the present Letter we show that the concept of the generalized synchronization regime in
discrete maps needs refining in the same way as it has been done for the flow systems …

Robust H∞ synchronization of chaotic Lur'e systems

H Huang, G Feng - Chaos: An Interdisciplinary Journal of Nonlinear …, 2008 - pubs.aip.org
This paper is concerned with the robust H∞ synchronization problem for a class of chaotic
Lur'e systems based on delayed feedback control. The master system is assumed to be …

Numerical simulation of coherent resonance in a model network of rulkov neurons

AV Andreev, AE Runnova… - Saratov Fall Meeting …, 2018 - spiedigitallibrary.org
In this paper we study the spiking behaviour of a neuronal network consisting of Rulkov
elements. We find that the regularity of this behaviour maximizes at a certain level of …

Intermittent generalized synchronization and modified system approach: Discrete maps

AA Koronovskii, OI Moskalenko, AO Selskii - Physical Review E, 2024 - APS
The present work deals with the intermittent generalized synchronization regime observed
near the boundary of generalized synchronization. The intermittent behavior is considered in …

Effect of noise on generalized synchronization of chaos: theory and experiment

OI Moskalenko, AE Hramov, AA Koronovskii… - The European Physical …, 2011 - Springer
The influence of noise on the generalized synchronization regime in the chaotic systems
with dissipative coupling is considered. If attractors of the drive and response systems have …

Type-II intermittency characteristics in the presence of noise

AA Koronovskii, AE Hramov - The European Physical Journal B, 2008 - Springer
We consider a type of intermittent behavior that occurs as the result of the interplay between
dynamical mechanisms giving rise to type-II intermittency and random dynamics. We …

Incomplete noise-induced synchronization of spatially extended systems

AE Hramov, AA Koronovskii, PV Popov - Physical Review E—Statistical …, 2008 - APS
A type of noise-induced synchronous behavior is described. This phenomenon, called
incomplete noise-induced synchronization, arises for one-dimensional Ginzburg-Landau …