The synchronized dynamics of time-varying networks

D Ghosh, M Frasca, A Rizzo, S Majhi, S Rakshit… - Physics Reports, 2022‏ - Elsevier
Over the past two decades, complex network theory provided the ideal framework for
investigating the intimate relationships between the topological properties characterizing the …

[كتاب][B] A guide to temporal networks

N Masuda, R Lambiotte - 2016‏ - World Scientific
A network is a collection of nodes and edges, where an edge connects two nodes. Many
social, natural and engineered systems can be represented as networks. Examples include …

Blinking coupling enhances network synchronization

F Parastesh, K Rajagopal, S Jafari, M Perc, E Schöll - Physical Review E, 2022‏ - APS
This paper studies the synchronization of a network with linear diffusive coupling, which
blinks between the variables periodically. The synchronization of the blinking network in the …

Beyond the Bristol book: Advances and perspectives in non-smooth dynamics and applications

I Belykh, R Kuske, M Porfiri… - Chaos: An Interdisciplinary …, 2023‏ - pubs.aip.org
Non-smooth dynamics induced by switches, impacts, sliding, and other abrupt changes are
pervasive in physics, biology, and engineering. Yet, systems with non-smooth dynamics …

Event-triggered pinning control of switching networks

A Adaldo, F Alderisio, D Liuzza, G Shi… - … on Control of …, 2015‏ - ieeexplore.ieee.org
This paper investigates event-triggered pinning control for the synchronization of complex
networks of nonlinear dynamical systems. We consider networks described by time-varying …

[HTML][HTML] Sliding homoclinic bifurcations in a Lorenz-type system: Analytic proofs

VN Belykh, NV Barabash, IV Belykh - Chaos: An Interdisciplinary …, 2021‏ - pubs.aip.org
Non-smooth systems can generate dynamics and bifurcations that are drastically different
from their smooth counterparts. In this paper, we study such homoclinic bifurcations in a …

Intralayer synchronization in evolving multiplex hypernetworks: Analytical approach

S Rakshit, BK Bera, EM Bollt, D Ghosh - SIAM Journal on Applied Dynamical …, 2020‏ - SIAM
In this paper, we study intralayer synchronization of multiplex networks where nodes in each
layer interact through diverse types of coupling functions associated with different time …

Synchronization in on-off stochastic networks: Windows of opportunity

R Jeter, I Belykh - IEEE Transactions on Circuits and Systems I …, 2015‏ - ieeexplore.ieee.org
We study dynamical networks whose topology and intrinsic parameters stochastically
change, on a time scale that ranges from fast to slow. When switching is fast, the stochastic …

A Lorenz-type attractor in a piecewise-smooth system: Rigorous results

VN Belykh, NV Barabash, IV Belykh - Chaos: An Interdisciplinary …, 2019‏ - pubs.aip.org
Chaotic attractors appear in various physical and biological models; however, rigorous
proofs of their existence and bifurcations are rare. In this paper, we construct a simple …

Dynamics of stochastically blinking systems. Part I: Finite time properties

M Hasler, V Belykh, I Belykh - SIAM Journal on Applied Dynamical Systems, 2013‏ - SIAM
We consider dynamical systems whose parameters are switched within a discrete set of
values at equal time intervals. Similar to the blinking of the eye, switching is fast and occurs …