A survey on filtering issues for two-dimensional systems: Advances and challenges

F Wang, Z Wang, J Liang, J Yang - International Journal of Control …, 2020 - Springer
In the past few decades, both theoretical developments and practical applications of the two-
dimensional (2-D) systems have received considerable research interest due to their clear …

Network reconstruction from random phase resetting

Z Levnajić, A Pikovsky - Physical review letters, 2011 - APS
We propose a novel method of reconstructing the topology and interaction functions for a
general oscillator network. An ensemble of initial phases and the corresponding …

State estimation for two‐dimensional complex networks with randomly occurring nonlinearities and randomly varying sensor delays

J Liang, Z Wang, Y Liu, X Liu - International Journal of Robust …, 2014 - Wiley Online Library
This paper is concerned with the state estimation problem for two‐dimensional (2D) complex
networks with randomly occurring nonlinearities and randomly varying sensor delays. To …

Emergent multistability and frustration in phase-repulsive networks of oscillators

Z Levnajić - Physical Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
The collective dynamics of oscillator networks with phase-repulsive coupling is studied,
considering various network sizes and topologies. The notion of link frustration is introduced …

Robust synchronization for 2-D discrete-time coupled dynamical networks

J Liang, Z Wang, X Liu… - IEEE transactions on …, 2012 - ieeexplore.ieee.org
In this paper, a new synchronization problem is addressed for an array of 2-D coupled
dynamical networks. The class of systems under investigation is described by the 2-D …

Computational chaos in complex networks

EG Nepomuceno, M Perc - Journal of Complex Networks, 2020 - academic.oup.com
Computational chaos reports the artificial generation or suppression of chaotic behaviour in
digital computers. There is a significant interest of the scientific community in analysing and …

The dynamic analysis of discrete fractional-order two-gene map

R Subramani, H Natiq, K Rajagopal, O Krejcar… - The European Physical …, 2023 - Springer
The evolutionary processes are based on information transmission by nervous systems and
inheritance by genes in DNA. Various continuous and discrete mathematical models have …

Chaos in gene regulatory networks: Effects of time delays and interaction structure

D Öztürk, FM Atay, H Özbay - Chaos: An Interdisciplinary Journal of …, 2024 - pubs.aip.org
In biological system models, gene expression levels are typically described by regulatory
feedback mechanisms. Many studies of gene network models focus on dynamical …

The role of asymmetrical and repulsive coupling in the dynamics of two coupled van der Pol oscillators

S Astakhov, A Gulai, N Fujiwara, J Kurths - Chaos: An Interdisciplinary …, 2016 - pubs.aip.org
A system of two asymmetrically coupled van der Pol oscillators has been studied. We show
that the introduction of a small asymmetry in coupling leads to the appearance of a …

Impact of coupling on the road to synchronization of two coupled Van der Pol oscillators

A Savostianov, A Shapoval, M Shnirman - Physica D: Nonlinear …, 2024 - Elsevier
Synchronized dynamics of two coupled van der Pol oscillators x and y balances between the
attracting forces and the prevention of synchrony represented by the coupling μ and the half …