On applicability of auxiliary system approach to detect generalized synchronization in complex network

J Zhou, J Chen, J Lu, J Lü - IEEE Transactions on Automatic …, 2016 - ieeexplore.ieee.org
Generalized synchronization is ubiquitous in nature. It is well known that the auxiliary system
approach has been widely used to verify the presence of generalized synchronization. This …

[HTML][HTML] The reservoir's perspective on generalized synchronization

T Lymburn, DM Walker, M Small… - … Interdisciplinary Journal of …, 2019 - pubs.aip.org
We employ reservoir computing for a reconstruction task in coupled chaotic systems, across
a range of dynamical relationships including generalized synchronization. For a drive …

On multistability near the boundary of generalized synchronization in unidirectionally coupled chaotic systems

OI Moskalenko, AA Koronovskii, AO Selskii… - … Journal of Nonlinear …, 2021 - pubs.aip.org
Multistability in the intermittent generalized synchronization regime in unidirectionally
coupled chaotic systems has been found. To study such a phenomenon, the method for …

Jump intermittency as a second type of transition to and from generalized synchronization

AA Koronovskii, OI Moskalenko, AA Pivovarov… - Physical Review E, 2020 - APS
The transition from asynchronous dynamics to generalized chaotic synchronization and then
to completely synchronous dynamics is known to be accompanied by on-off intermittency …

Realizing generalized outer synchronization of complex dynamical networks with stochastically adaptive coupling

W Li, L Zhao, H Shi, D Zhao, Y Sun - Mathematics and Computers in …, 2021 - Elsevier
In this paper the generalized outer synchronization between two coupled dynamical
networks is investigated. Combining the advantages of adaptive control technique and …

Transitions from chimeras to coherence: an analytical approach by means of the coherent stability function

S Rakshit, Z Faghani, F Parastesh, S Panahi, S Jafari… - Physical Review E, 2019 - APS
Chimera states have been a vibrant subject of research in the recent past, but the analytical
treatment of transitions from chimeras to coherent states remains a challenge. Here we …

A method to detect the characteristics of intermittent generalized synchronization based on calculation of probability of the synchronous regime observation

OI Moskalenko, AA Koronovskii, AO Selskii… - Technical Physics …, 2024 - Springer
A method to define the characteristic phases in the behavior of unidirectionally coupled
systems located near the boundary of the generalized chaotic synchronization regime onset …

Intermittent route to generalized synchronization in bidirectionally coupled chaotic oscillators

AA Koronovskii, OI Moskalenko… - … Journal of Nonlinear …, 2020 - pubs.aip.org
The type of transition from asynchronous behavior to the generalized synchronization
regime in mutually coupled chaotic oscillators has been studied. To separate the epochs of …

Peculiarities of generalized synchronization in unidirectionally and mutually coupled time-delayed systems

OI Moskalenko, AA Koronovskii, AD Plotnikova - Chaos, Solitons & Fractals, 2021 - Elsevier
Generalized synchronization in unidirectionally and mutually coupled time-delayed systems
has been studied. For the analysis of such regime the method for calculation of Lyapunov …

Generalized synchronization in a conservative and nearly conservative systems of star network

S Sabarathinam, A Prasad - Chaos: An Interdisciplinary Journal of …, 2018 - pubs.aip.org
We report the coexistence of synchronized and unsynchronized states in a mutually coupled
star network of nearly conservative non-identical oscillators. Generalized synchronization is …