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studied the influences of all the network parameters such as vision range, speed of motion and
coupling strength both locally (using linear stability analysis) and non-locally (using basin
stability analysis).

We have considered a multiplex network where the intra-layer coupling interactions were
switched stochastically with a characteristic frequency. We explored the intra-layer and inter-
layer synchronization of such a time-varying multiplex network. We found that the analytically
derived necessary condition for intra-layer and inter-layer synchronization, obtained by master
stability function approach, excellently matches with our numerical results. Interestingly, we
clearly found that higher frequency of switching links in the layers enhances both intra-layer
and inter-layer synchrony, yielding larger windows of synchronization. We investigated the
robustness of inter-layer synchronization against a progressive de-multiplexing of the
multiplex structure, and find that for rapid switching of intra-layer links, the inter-layer
synchronization persists even when a large number of inter-layer nodes are disconnected. In
addition, we will investigate the robustness of complex biological systems where the
interactions vary with time. What is the role of characteristic frequency on dynamical
robustness and other collective synchronization in the time-varying networks?

Related papers:

1. Rakshit, B. K. Bera, and Dibakar Ghosh: “Synchronization in a temporal multiplex
neuronal hypernetwork”, Physical Review E, 98, 032305, 2018.
2. Majhi, Dibakar Ghosh and Juergen Kurths: “Emergence of synchronization in
multiplex networks of mobile Rossler oscillators”, Physical Review E, 99, 012308,
2019.
3. Sayantan Nag Chowdhury and Dibakar Ghosh: “Synchronization in dynamic
network using threshold control approach", Europhysics Letters, 125, 10011, 2019.
4. SN Chowdhury, S Majhi, Dibakar Ghosh, A Prasad, “Convergence of chaotic
attractors due to interaction based on closeness”, Physics Letters A 383 (35), 125997,
2019.
5. S Rakshit, BK Bera, J Kurths, Dibakar Ghosh, “Enhancing synchrony in multiplex
network due to rewiring frequency”,Proceedings of the Royal Society A 475 (2230),
20190460, 2019.
6. SN Chowdhury, S Majhi, M Ozer, Dibakar Ghosh, M Perc , “Synchronization to
extreme events in moving agents”, New Journal of Physics 21, 073048, 2019.
7. Rakshit, BK Bera, Dibakar Ghosh: “Invariance and stability conditions of interlayer
synchronization manifold”, Physical Review E, 101, 012308, 2020.
8. S Rakshit, BK Bera, EM Bollt, Dibakar Ghosh, “Intralayer Synchronization in
Evolving Multiplex Hypernetworks: Analytical Approach”, SIAM Journal on Applied
Dynamical Systems 19 (2), 918-963, 2020.

(Dibakar Ghosh)

Experimental Work

Flume Laboratory work:

Hydrodynamics of flow over and downstream of a dunal structure and a series of dunes:

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