Imperial College London

DrTiagoPereira Da Silva

Faculty of Natural SciencesDepartment of Mathematics

Visiting Reader
 
 
 
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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

33 results found

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

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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

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

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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

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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

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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

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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

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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

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Pereira T, 2010, Hub synchronization in scale-free networks, PHYSICAL REVIEW E, Vol: 82, ISSN: 1539-3755

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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

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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

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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

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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

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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

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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

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

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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

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Pereira T, Baptista MS, Reyes MB, Caldas IL, Sartorelli JC, Kurths Jet al., 2006, Global bifurcation destroying the experimental torusT2, Physical Review E, Vol: 73, ISSN: 1539-3755

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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

Baptista MS, Pereira T, Kurths J, Inferior Bounds for Phase Synchronization, Physica D, Vol: 216

An approach is presented for coupled chaotic systems, estimating an inferiorbound value for the absolute phase difference, in order to say that phasesynchronization is present. This approach shows that synchronicity in phaseimplies synchronicity in the time of events. This is used to derive an equationto detect phase synchronization, based on the absolute difference between thetime of these events. A phase based on the vector field is also introduced. Itcan be used to calculate the frequency of attractors with non-coherent phasedynamics.

Journal article

Veneziani AM, Pereira T, Marchetti DHU, Conformal Deformation from Normal to Hermitian Random Matrix Ensembles

We investigate the eigenvalues statistics of ensembles of normal randommatrices when their order N tends to infinite. In the model the eigenvalueshave uniform density within a region determined by a simple analytic polynomialcurve. We study the conformal deformations of normal random ensembles toHermitian random ensembles and give sufficient conditions for the latter to bea Wigner ensemble.

Journal article

Batista CAS, Nunes RV, Batista AM, Viana RL, Lopes SR, Pereira Tet al., Global synchronization of bursting neurons in clustered networks

We investigate the collective dynamics of bursting neurons on clusterednetwork. The clustered network is composed of subnetworks each presenting asmall-world property, and in a given subnetwork each neuron has a probabilityto be connected to the other subnetworks. We give bounds for the criticalcoupling strength to obtain global burst synchronization in terms of thenetwork structure, i.e., intracluster and intercluster probabilitiesconnections. As the heterogeneity in the network is reduced the network globalsynchronization is improved. We show that the transitions to global synchronymay be abrupt or smooth depending on the intercluster probability.

Journal article

Veneziani AM, Pereira T, Marchetti DHU, Conformal Universality in Normal Matrix Ensembles

A remarkable property of Hermitian ensembles is their universal behavior,that is, once properly rescaled the eigenvalue statistics does not depend onparticularities of the ensemble. Recently, normal matrix ensembles haveattracted increasing attention, however, questions on universality for theseensembles still remain under debate. We analyze the universality properties ofrandom normal ensembles. We show that the concept of universality used forHermitian ensembles cannot be directly extrapolated to normal ensembles.Moreover, we show that the eigenvalue statistics of random normal matrices withradially symmetric potential can be made universal under a conformaltransformation.

Journal article

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