Measuring synchronization in coupled model systems: A comparison of different approaches

T Kreuz, F Mormann, RG Andrzejak, A Kraskov… - Physica D: Nonlinear …, 2007 - Elsevier
The investigation of synchronization phenomena on measured experimental data such as
biological time series has recently become an increasing focus of interest. Different …

Chaotic observer-based synchronization under information constraints

AL Fradkov, B Andrievsky, RJ Evans - … E—Statistical, Nonlinear, and Soft Matter …, 2006 - APS
Limitations of observer-based synchronization systems under information constraints
(limited information capacity of the coupling channel) are evaluated. We give theoretical …

Adaptive observer-based synchronization of chaotic systems with first-order coder in the presence of information constraints

AL Fradkov, B Andrievsky… - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
We analyze the performance of an adaptive chaotic synchronization system under
information constraints assuming that some system parameters are unknown and only the …

Synchronization of nonlinear systems under information constraints

AL Fradkov, B Andrievsky, RJ Evans - Chaos: An Interdisciplinary …, 2008 - pubs.aip.org
A brief survey of control and synchronization under information constraints (limited
information capacity of the coupling channel) is given. Limit possibilities of nonlinear …

Quantitative analysis of chaotic synchronization by means of coherence

A Shabunin, V Astakhov, J Kurths - … Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
We use an index of chaotic synchronization based on the averaged coherence function for
the quantitative analysis of the process of the complete synchronization loss in …

Synchronization in the network of chaotic microwave oscillators

O Moskalenko, N Phrolov, A Koronovskii… - The European Physical …, 2013 - Springer
Time scale synchronization in networks of chaotic microwave oscillators with the different
topologies of the links between nodes has been studied. As a node element of the network …

[HTML][HTML] Improving entropy estimates of complex network topology for the characterization of coupling in dynamical systems

T Craciunescu, A Murari, M Gelfusa - Entropy, 2018 - mdpi.com
A new measure for the characterization of interconnected dynamical systems coupling is
proposed. The method is based on the representation of time series as weighted cross …

Multiscale analysis of information correlations in an infinite-range, ferromagnetic Ising system

S Gheorghiu-Svirschevski, Y Bar-Yam - Physical Review E—Statistical …, 2004 - APS
The scale-specific information content of the infinite-range, ferromagnetic Ising model is
examined by means of information-theoretic measures of high-order correlations in finite …

Non-transitive maps in phase synchronization

MDS Baptista, T Pereira, JC Sartorelli, IL Caldas… - Physica D: Nonlinear …, 2005 - Elsevier
Concepts from Ergodic Theory are used to describe the existence of special non-transitive
maps in attractors of phase synchronous chaotic oscillators. In particular, it is shown that, for …

Observer-based synchronization of discrete-time chaotic systems under communication constraints

AL Fradkov, B Andrievsky, A Andrievsky - IFAC Proceedings Volumes, 2008 - Elsevier
The paper is devoted to the synchronization problem of the discrete-time chaotic systems,
coupled by the link (“the communication channel “) with the limited bit-per-step rate. The …