Controlling cluster synchronization by adapting the topology

J Lehnert, P Hövel, A Selivanov, A Fradkov, E Schöll - Physical Review E, 2014 - APS
We suggest an adaptive control scheme for the control of in-phase and cluster
synchronization in delay-coupled networks. Based on the speed-gradient method, our …

Adaptive control of synchronization in delay-coupled heterogeneous networks of FitzHugh–Nagumo nodes

SA Plotnikov, J Lehnert, AL Fradkov… - International Journal of …, 2016 - World Scientific
We study synchronization in delay-coupled neural networks of heterogeneous nodes. It is
well known that heterogeneities in the nodes hinder synchronization when becoming too …

Partial synchronization and partial amplitude death in mesoscale network motifs

W Poel, A Zakharova, E Schöll - Physical Review E, 2015 - APS
We study the interplay between network topology and complex space-time patterns and
introduce a concept to analytically predict complex patterns in networks of Stuart-Landau …

[图书][B] Controlling synchronization patterns in complex networks

J Lehnert - 2015 - books.google.com
This research aims to achieve a fundamental understanding of synchronization and its
interplay with the topology of complex networks. Synchronization is a ubiquitous …

On modified time delay hyperchaotic complex Lü system

GM Mahmoud, EE Mahmoud, AA Arafa - Nonlinear Dynamics, 2015 - Springer
Time delays are often considered as sources of complex behaviors in dynamical systems.
Much progress has been made in the research of time delay systems with real variables. In …

An optimization-based algorithm for obtaining an optimal synchronizable network after link addition or reduction

F Parastesh, S Sriram, H Natiq, K Rajagopal… - … Journal of Nonlinear …, 2023 - pubs.aip.org
Achieving a network structure with optimal synchronization is essential in many applications.
This paper proposes an optimization algorithm for constructing a network with optimal …

Adaptive time-delayed stabilization of steady states and periodic orbits

A Selivanov, J Lehnert, A Fradkov, E Schöll - Physical Review E, 2015 - APS
We derive adaptive time-delayed feedback controllers that stabilize fixed points and periodic
orbits. First, we develop an adaptive controller for stabilization of a steady state by applying …

Delayed-feedback control: arbitrary and distributed delay-time and noninvasive control of synchrony in networks with heterogeneous delays

CU Choe, RS Kim, H Jang, P Hövel… - International Journal of …, 2014 - Springer
We suggest a delayed feedback control scheme with arbitrary delay for stabilizing a periodic
orbit, while maintaining the noninvasiveness of the controller. Since the constraint on the …

Synchronization of time delay systems with non-diagonal complex scaling functions

GM Mahmoud, EE Mahmoud, AA Arafa - Chaos, Solitons & Fractals, 2018 - Elsevier
This paper deals with a kind of synchronization of dynamical systems with complex variables
which is called generalized complex modified hybrid function projective synchronization …

[PDF][PDF] Application of adaptive methods to chaos control of networks of Rossler systems

PY Guzenko, J Lehnert, E Scholl - Cybernetics and Physics, 2013 - lib.physcon.ru
We show that in delay-coupled networks of chaotic Rössler systems local stabilization of
unstable periodic orbits and global synchronization of these orbits is simultaneously …