Quenching, aging, and reviving in coupled dynamical networks

W Zou, DV Senthilkumar, M Zhan, J Kurths - Physics Reports, 2021 - Elsevier
Rhythmic behavior represents one of the most striking and ubiquitous manifestations of
functional evolution for a wide class of natural and man-made systems. The emergence of …

Chimera patterns in networks

A Zakharova - Springer, 2020 - Springer
Synchronization phenomena represent one of the central issues in the modern research, in
particular, on nonlinear dynamics, network science, and statistical physics with applications …

Control of amplitude chimeras by time delay in oscillator networks

A Gjurchinovski, E Schöll, A Zakharova - Physical Review E, 2017 - APS
We investigate the influence of time-delayed coupling in a ring network of nonlocally
coupled Stuart-Landau oscillators upon chimera states, ie, space-time patterns with …

Control of dynamics via identical time-lagged stochastic inputs

E Bolhasani, Y Azizi, D Abdollahpour… - … Journal of Nonlinear …, 2020 - pubs.aip.org
We investigate the impact of a stochastic forcing, comprised of a sum of time-lagged copies
of a single source of noise, on the system dynamics. This type of stochastic forcing could be …

Synchronization patterns in Stuart–Landau networks: a reduced system approach

L Tumash, E Panteley, A Zakharova… - The European Physical …, 2019 - Springer
We study networks with coupled phase and amplitude dynamics. In particular, we
investigate a ring of Stuart–Landau oscillators. For symmetry-conserving coupling we …

Robust design against frequency variation for amplitude death in delay-coupled oscillators

Y Sugitani, K Kawahara, K Konishi - Physical Review E, 2024 - APS
Amplitude death has the potential to suppress unwanted oscillations in various engineering
applications. However, in some engineering applications, such as dc microgrids, airfoil …

Quenching of oscillation by the limiting factor of diffusively coupled oscillators

M Manoranjani, DV Senthilkumar, W Zou… - Physical Review E, 2022 - APS
A simple limiting factor in the intrinsic variable of the normal diffusive coupling is known to
facilitate the phenomenon of reviving of oscillation [Zou, Nat. Commun. 6, 7709 (2015) 2041 …

Synchronizability and mode-locking of two scaled quadratic maps via symmetric direct-coupling

XF Li, AYT Leung, J Jiang - Chaos, Solitons & Fractals, 2018 - Elsevier
The paper devotes to the synthesis of synchronizability and mode-locking of two scaled
quadratic maps via symmetric direct-coupling. Present research shows that, similar to …

The Thomas Attractor with and without Delay: Complex Dynamics to Amplitude Death

B McDonald, SR Choudhury - Discontinuity …, 2020 - lhscientificpublishing.com
Bifurcations in the Thomas cyclic system leading from simple dynamics into chaotic regimes
are considered. In particular, the existence of only one non-trivial fixed point of the system in …

[NAVOD][C] Discontinuity, Nonlinearity, and Complexity

B McDonald, SR Choudhury - Discontinuity, Nonlinearity, and Complexity, 2020