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STAFF   Jeroen Lamb     Martin Rasmussen     Dmitry Turaev     Sebastian van Strien   HONORARY STAFF Boumediene Hamzi Tiago Pereira POSTDOCS Bernat Bassols Cornudella Konstantinos Kourliouros Iacopo Longo Giuseppe Tenaglia Wei Hao Tey Jingdong Zhang PHD STUDENTS Chris Chalhoub Hugo Chu Michal Fedorowicz Emilia Gibson Vincent Goverse Amir Khodaeian Karim Chek Lau Ziyu Li Tianyi Liu Dmitrii Mints John Parry Leon Staresinic VISITORS Ole Peters Cristina Sargent Bill Speares RELATED STAFF Mauricio Barahona Davoud Cheraghi Martin Hairer Darryl Holm Xue-Mei Li Greg Pavliotis Kevin Webster

DR TIAGO PEREIRA Marie Curie Fellow Phone: +44(207)59-41424 Room: 620 Huxley Building

Areas of Interest A central theme in my research is the collective behaviour on complex networks. I also have interest in the theory of dynamical systems and random matrix theory. In particular, I have made contributions to the following areas Dynamics in Complex Networks Fermi Acceleration Universality in Normal Random Matrices Grants, Awards and Prizes Marie Curie Fellowship (2013-2015), Imperial College London. CNPq Research award (2011) Articles: Explosive Synchronization is Discontinuous Vladimir Vlasov, Yong Zou, and Tiago Pereira arxiv (arXiv:1411.6873 [nlin.AO]).   Bifurcations of mutually coupled equations in random graphs Eduardo Garibaldi and Tiago Pereira arxiv (arXiv:1409.5726 [math.DS]).   Dynamics of Cluster Synchronisation in Modular Networks: Implications for Structural and Functional Networks Jake Stroud, Mauricio Barahona and Tiago Pereira Springer Cybernetics (2015) Applications of Chaos and Nonlinear Dynamics - Vol. 4   Fast Fermi Acceleration and Entropy Growth Tiago Pereira and Dmitry Turaev Mathematical Modelling of Natural Phenomena (Cambridge) Improving the Network Structure can lead to Functional Failures Jan Philipp Pade and Tiago Pereira Nature Sci. Rep. 5, 9968 (2015).   Exponential energy growth in adiabatically changing Hamiltonian Systems Tiago Pereira and Dmitry Turaev Physical Review E 91, 010901(Rapid Communications) 2015 Basin of Attraction Determines Hysteresis in Explosive Synchronization Yong Zou, Tiago Pereira, M. Small, Z. Liu, J. Kurths Physical Review Letters 112, 114102 (2014) Dynamics of Coupled Maps in Heterogeneous Random Networks Tiago Pereira, Sebastian van Strien, Jeroen S.W. Lamb (arXiv:1308.5526 [math.DS] ).   Towards a theory for diffusive coupling functions allowing persistent synchronization Tiago Pereira, Jaap Eldering, Martin Rasmussen, Alexei Veneziani Nonlinearity 27, 501 (2014).   Connectivity-Driven Coherence in Complex Networks Tiago Pereira, D. Eroglu, G. B. Bagci, U. Tirnakli, H. J. Jensen Phys. Rev. Lett. 110, 234103 (2013)   Asymptotic integral kernel for ensembles of random normal matrices with radial potentials A.M. Veneziani, D.H.U. Marchetti, and T. Pereira, Jour. Math. Phys. 53, 023303 (2012)   Phase synchronization of bursting neurons in clustered small-world networks C. Batista, E. Lameu et al. Phys. Rev. E, 86, 016211 (2012)   Conformal Deformation of Equilibrium Measures in Normal Random Ensembles A.M. Veneziani, T. Pereira and D.H.U. Marchetti Jour. Phys. A: Math.Theor. 44, 075202 (2011)   Extracellular potassium dynamics in the hyperexcitable state of the neuronal ictal activity G. Florence, T. Pereira, J. Kurths Communications in Nonlinear Science 17, 4700 (2012)   Hub Synchronization in Scale-Free Networks Tiago Pereira Physical Review E 82, 036201 (2010) Selected for Biological Physics Research 20(6), 2010.   Conformal Universality in Normal Matrix Ensembles A.M. Veneziani, T. Pereira, D.H.U. Marchetti paper on arxiv(to the article).   Quantum States Allowing Minimum Uncertainty Product of phi and Lz T. Pereira and D.H.U. Marchetti Progress in Theoretical Physics 122, 1137 (2009) (to the article).   Phase and Average Period of Chaotic Attractors T. Pereira, M.S. Baptista, J. Kurths. Physics Letters A 372, 2339 (2008) (to the article).   Network mutual information and synchronization under time transformations T. Pereira, M. Thiel, M.S. Baptista, J. Kurths New Jour. Phys. 10, 083003 (2008)(to the article).   General Framework for Phase Synchronization through Localized Sets T. Pereira, M.S. Baptista, J. Kurths Physical Review E 75, 026216 (2007) (to the article). Selected for Biological Physics Research 13(5) 2007   Phase and Average Period of Chaotic Attractors T. Pereira, M.S. Baptista, J. Kurths Physics Letters A 262, 159 (2007) (to the article).   Detecting Phase Synchronization by Localized Maps: Application to Neural Networks T. Pereira, M.S. Baptista, J. Kurths Europhysics Letters 77, 40006 (2007) (to the article).   Multi-time-scales synchronization and information processing in bursting neural networks T. Pereira, M.S. Baptista, and J. Kurths European Physics Journal ST 146, 155 (2007) (to the article).   Onset of Phase Synchronization in Neurons Connected by Chemical Synapses T. Pereira, M.S. Baptista, M. Reyes, J. Kurths International Journal Bifurcation and Chaos 17, 3545 (2007) (to the article).   Global Bifurcation Destroying the Torus T2 T. Pereira, M.S. Baptista, et al. Physical Review E 73 , 107201 (2006) (to the article).   Upper bounds in phase synchronous weak coherent chaotic attractors M.S. Baptista, T. Pereira, and J. Kurths Physica D 216, 260 (2006) (to the article).   Non-Transitive maps in Phase Synchronization M.S. Baptista, T. Pereira, et al. Physica D 212, 216 (2005) (to the article).   Phase Synchronization in The Perturbed Chua Circuit M. S. Baptista, T. Pereira, et al., Physical Review E 67, 056212 (2003) (to the article).   Further works: CDT - Ergodic Theory Lecture Notes . Tiago Pereira Introduction to Random Matrices . Tiago Pereira Stability of Synchronized Motion in Complex Networks. Tiago Pereira Lecture Notes (to the article).   See my papers on (Arxiv).