Imperial College London

ProfessorTiagoPereira Da Silva

Faculty of Natural SciencesDepartment of Mathematics

Academic Visitor
 
 
 
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Contact

 

+44 (0)20 7594 1424tiago.pereira

 
 
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Location

 

620Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Publication Type
Year
to

27 results found

Nijholt E, Ocampo-Espindola JL, Eroglu D, Kiss IZ, Pereira Tet al., 2022, Emergent hypernetworks in weakly coupled oscillators., Nat Commun, Vol: 13

Networks of weakly coupled oscillators had a profound impact on our understanding of complex systems. Studies on model reconstruction from data have shown prevalent contributions from hypernetworks with triplet and higher interactions among oscillators, in spite that such models were originally defined as oscillator networks with pairwise interactions. Here, we show that hypernetworks can spontaneously emerge even in the presence of pairwise albeit nonlinear coupling given certain triplet frequency resonance conditions. The results are demonstrated in experiments with electrochemical oscillators and in simulations with integrate-and-fire neurons. By developing a comprehensive theory, we uncover the mechanism for emergent hypernetworks by identifying appearing and forbidden frequency resonant conditions. Furthermore, it is shown that microscopic linear (difference) coupling among units results in coupled mean fields, which have sufficient nonlinearity to facilitate hypernetworks. Our findings shed light on the apparent abundance of hypernetworks and provide a constructive way to predict and engineer their emergence.

Journal article

Poignard C, Pade JP, Pereira T, 2019, The effects of structural perturbations on the synchronizability of diffusive networks, Journal of Nonlinear Science, Vol: 29, Pages: 1919-1942, ISSN: 0938-8974

We investigate the effects of structural perturbations on the networks ability to synchronize. We establish a classification of directed links according to their impact on synchronizability. We focus on adding directed links in weakly connected networks having a strongly connected component acting as driver. When the connectivity of the driver is not stronger than the connectivity of the slave component, we can always make the network strongly connected while hindering synchronization. On the other hand, we prove the existence of a perturbation which makes the network strongly connected while increasing the synchronizability. Under additional conditions, there is a node in the driving component such that adding a single link starting at an arbitrary node of the driven component and ending at this node increases the synchronizability.

Journal article

Poignard C, Pereira T, Pade JP, 2018, SPECTRA OF LAPLACIAN MATRICES OF WEIGHTED GRAPHS: STRUCTURAL GENERICITY PROPERTIES, SIAM JOURNAL ON APPLIED MATHEMATICS, Vol: 78, Pages: 372-394, ISSN: 0036-1399

Journal article

Stankovski T, Pereira T, McClintock PVE, Stefanovska Aet al., 2017, Coupling functions: Universal insights into dynamical interaction mechanisms, REVIEWS OF MODERN PHYSICS, Vol: 89, ISSN: 0034-6861

Journal article

Vlasov V, Zou Y, Pereira T, 2015, Explosive synchronization is discontinuous, PHYSICAL REVIEW E, Vol: 92, ISSN: 1539-3755

Journal article

Zou Y, Pereira T, Small M, Liu Z, Kurths Jet al., 2014, Basin of Attraction Determines Hysteresis in Explosive Synchronization, PHYSICAL REVIEW LETTERS, Vol: 112, ISSN: 0031-9007

Journal article

Pereira T, Eldering J, Rasmussen M, Veneziani Aet al., 2014, Towards a theory for diffusive coupling functions allowing persistent synchronization, Nonlinearity, Vol: 27, Pages: 501-525, ISSN: 0951-7715

Journal article

Pereira T, van Strien S, Lamb JSW, 2013, Dynamics of Coupled Maps in Heterogeneous Random Networks

Journal article

Pereira T, Eroglu, Bagci, Tirnakli, Jensenet al., 2013, Connectivity-Driven Coherence in Complex Networks, Physical Review Letters, Vol: 110

We study the emergence of coherence in complex networks of mutually coupled nonidentical elements. We uncover the precise dependence of the dynamical coherence on the network connectivity, the isolated dynamics of the elements, and the coupling function. These findings predict that in random graphs the enhancement of coherence is proportional to the mean degree. In locally connected networks, coherence is no longer controlled by the mean degree but rather by how the mean degree scales with the network size. In these networks, even when the coherence is absent, adding a fraction s of random connections leads to an enhancement of coherence proportional to s. Our results provide a way to control the emergent properties by the manipulation of the dynamics of the elements and the network connectivity.

Journal article

Florence G, Pereira T, Kurths J, 2012, Extracellular potassium dynamics in the hyperexcitable state of the neuronal ictal activity, Communications in Nonlinear Science and Numerical Simulation, Vol: 17, Pages: 4700-4706, ISSN: 1007-5704

Journal article

Batista CAS, Lameu EL, Batista AM, Lopes SR, Pereira T, Zamora-Lopez G, Kurths J, Viana RLet al., 2012, Phase synchronization of bursting neurons in clustered small-world networks, PHYSICAL REVIEW E, Vol: 86, ISSN: 1539-3755

Journal article

Veneziani AM, Pereira T, Marchetti DHU, 2012, Asymptotic integral kernel for ensembles of random normal matrices with radial potentials, Journal of Mathematical Physics, Vol: 53, ISSN: 0022-2488

Journal article

Veneziani AM, Pereira T, Marchetti DHU, 2011, Conformal deformation of equilibrium measures in normal random ensembles, Journal of Physics A: Mathematical and Theoretical, Vol: 44, ISSN: 1751-8113

Journal article

Pereira T, 2010, Hub synchronization in scale-free networks, PHYSICAL REVIEW E, Vol: 82, ISSN: 2470-0045

Journal article

Pereira T, Marchetti DHU, 2009, Quantum States Allowing Minimum Uncertainty Product of   and Lz, Progress of Theoretical Physics, Vol: 122, Pages: 1137-1149, ISSN: 0033-068X

Journal article

Pereira T, Baptista MS, Reyes MB, Caldas IL, Sartorelli JC, Kurths Jet al., 2009, A scenario for torus T2 destruction via a global bifurcation, Chaos, Solitons & Fractals, Vol: 39, Pages: 2198-2210, ISSN: 0960-0779

Journal article

Pereira T, Thiel M, Baptista MS, Kurths Jet al., 2008, Network mutual information and synchronization under time transformations, NEW JOURNAL OF PHYSICS, Vol: 10, ISSN: 1367-2630

Journal article

Pereira T, Baptista MS, Kurths J, Reyes MBet al., 2007, Onset of phase synchronization in neurons with chemical synapse, INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, Vol: 17, Pages: 3545-3549, ISSN: 0218-1274

Journal article

Pereira T, Baptista MS, Kurths J, 2007, Multi-time-scale synchronization and information processing in bursting neuron networks, The European Physical Journal Special Topics, Vol: 146, Pages: 155-168, ISSN: 1951-6355

Journal article

Pereira T, Baptista MS, Kurths J, 2007, Phase and average period of chaotic oscillators, PHYSICS LETTERS A, Vol: 362, Pages: 159-165, ISSN: 0375-9601

Journal article

Pereira T, Baptista MS, Kurths J, 2007, General framework for phase synchronization through localized sets, PHYSICAL REVIEW E, Vol: 75, ISSN: 1539-3755

Journal article

Pereira T, Baptista MS, Kurths J, 2007, Detecting phase synchronization by localized maps: Application to neural networks, EPL, Vol: 77, ISSN: 0295-5075

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Baptista MS, Pereira T, Kurths J, 2006, Upper bounds in phase synchronous weak coherent chaotic attractors, PHYSICA D-NONLINEAR PHENOMENA, Vol: 216, Pages: 260-268, ISSN: 0167-2789

Journal article

Baptista MS, Pereira T, Sartorelli JC, Caldas IL, Kurths Jet al., 2005, Non-transitive maps in phase synchronization, PHYSICA D-NONLINEAR PHENOMENA, Vol: 212, Pages: 216-232, ISSN: 0167-2789

Journal article

Baptista MS, Pereira T, Sartorelli JC, Caldas IL, Kurths Jet al., 2004, Phase synchronization and invariant measures in sinusoidally perturbed chaotic systems, EXPERIMENTAL CHAOS, Vol: 742, Pages: 325-329, ISSN: 0094-243X

Journal article

Baptista MS, Silva TP, Sartorelli JC, Caldas IL, Rosa Eet al., 2003, Phase synchronization in the perturbed Chua circuit, Physical Review E, Vol: 67, ISSN: 1063-651X

Journal article

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