302 citations · 785 across the 37 of their papers we have counts for
7 papers · 1 filter
Sync: Persistence in Two Diffusively Coupled Oscillators
Marcos D. N. Maia, Tiago Pereira
We address the problem of stability of synchronization in two diffu- sively coupled oscillators under small perturations. We have two cases, namely, when the perturation becomes of…
Explosive Synchronization is Discontinuous
Vladimir Vlasov, Yong Zou, Tiago Pereira
Spontaneous explosive is an abrupt transition to collective behavior taking place in heterogeneous networks when the frequencies of the nodes are positively correlated to the node…
Dynamics of Cluster Synchronisation in Modular Networks: Implications for Structural and Functional Networks
Jake Stroud, Mauricio Barahona, Tiago Pereira
Experimental results often do not assess network structure; rather, the network structure is inferred by the dynamics of the nodes. From the dynamics of the nodes one then construc…
Exponential energy growth in adiabatically changing Hamiltonian Systems
Tiago Pereira, Dmitry Turaev
Fermi acceleration is the process of energy transfer from massive objects in slow motion to light objects that move fast. The model for such process is a time-dependent Hamiltonian…
Bifurcations of mutually coupled equations in random graphs
Eduardo Garibaldi, Tiago Pereira
We study the behavior of solutions of mutually coupled equations in heterogeneous random graphs. Heterogeneity means that some equations receive many inputs whereas most of the equ…
Improving the Network Structure can lead to Functional Failures
Jan Philipp Pade, Tiago Pereira
In many real-world networks the ability to synchronize is a key property for its performance. Examples include power-grid, sensor, and neuron networks as well as consensus formatio…