Publications
2026
Hypernetworks induce stable hyperlocking
Eddie Nijholt, Tiago Pereira, Matthias Wolfrum, Sagnik Chakraborty, István Z. Kiss, Jürgen Kurths
Nature Communications (2026)
Homogeneous coupled cell systems with high-dimensional internal dynamics
Sören von der Gracht, Eddie Nijholt, Bob Rink
Chaos, Solitons & Fractals 208, 118196 (2026)
Unique Reconstruction from Mean-Field Measurements
Narcicegi Kiran, Tiago Pereira
SIAM Journal on Applied Dynamical Systems 25 (2), 629-653 (2026)
2025
Mean-field and fluctuations for hub dynamics in heterogeneous random networks
Zheng Bian, Jeroen S.W. Lamb, Tiago Pereira
Communications in Mathematical Physics 406 (7), 170 (2025)
Selfconsistent Transfer Operators for Heterogeneous Coupled Maps
Henry Maquera, Tiago Pereira, Matteo Tanzi
arXiv preprint arXiv:2511.16572 (2025)
Epidemics models in Networks
Tiago Pereira
arXiv preprint arXiv:2512.20771 (2025)
2024
Higher-order interactions lead to ‘reluctant’ synchrony breaking
Sören von der Gracht, Eddie Nijholt, Bob Rink
Proceedings of the Royal Society A 480 (2301), 20230945 (2024)
Dimension Bounds for Systems of Equations with Graph Structure
Eddie Nijholt, Davide Sclosa
arXiv preprint arXiv:2410.06840 (2024)
SARS-CoV-2 transmission in a highly vulnerable population of Brazil: a household cohort study
Lara E. Coelho, Paula M. Luz, Debora C. Pires, Emilia M. Jalil, Hugo Perazzo, Thiago S. Torres et al.
The Lancet Regional Health–Americas 36, 100824 (2024)
Cycle-star motifs: Network response to link modifications
Sajjad Bakrani, Narcicegi Kiran, Deniz Eroglu, Tiago Pereira
Journal of Nonlinear Science 34 (4), 60 (2024)
Continua and persistence of periodic orbits in ensembles of oscillators
Robert Ronge, Michael A. Zaks, Tiago Pereira
Nonlinearity 37 (5), 055004 (2024)
The spark of synchronization in heterogeneous networks of chaotic maps
Antonio Montalbán, Rodrigo M. Corder
Chaos: An Interdisciplinary Journal of Nonlinear Science 34 (2) (2024)
2023
Emergence of chaotic cluster synchronization in heterogeneous networks
Rodrigo M. Corder, Zheng Bian, Tiago Pereira, Antonio Montalbán
Chaos: An Interdisciplinary Journal of Nonlinear Science 33 (9) (2023)
Chaotic behavior in diffusively coupled systems
Eddie Nijholt, Tiago Pereira, Fernando C. Queiroz, Dmitry Turaev
Communications in Mathematical Physics 401 (3), 2715-2756 (2023)
Hypernetworks: cluster synchronization is a higher-order effect
Sören von der Gracht, Eddie Nijholt, Bob Rink
SIAM Journal on Applied Mathematics 83 (6), 2329-2353 (2023)
Invariant synchrony and anti-synchrony subspaces of weighted networks
Eddie Nijholt, Nándor Sieben, James W. Swift
Journal of Nonlinear Science 33 (4), 63 (2023)
A parametrisation method for high-order phase reduction in coupled oscillator networks
Sören von der Gracht, Eddie Nijholt, Bob Rink
arXiv preprint arXiv:2306.03320 (2023)
Robust reconstruction of sparse network dynamics
Tiago Pereira, Edmilson Roque dos Santos, Sebastian van Strien
arXiv preprint arXiv:2308.06433 (2023)
Exponentially long transient time to synchronization of coupled chaotic circle maps in dense random networks
Hans Muller Mendonca, Ralf Tönjes, Tiago Pereira
Entropy 25 (7), 983 (2023)
2022
Prevalence and predictors of anti-SARS-CoV-2 serology in a highly vulnerable population of Rio de Janeiro: A population-based serosurvey
Lara E. Coelho, Paula M. Luz, Debora C. Pires, Emilia M. Jalil, Hugo Perazzo, Thiago S. Torres et al.
The Lancet Regional Health–Americas 15 (2022)
Quantifying protocols for safe school activities
Juliano Genari, Guilherme Tegoni Goedert, Sérgio H. A. Lira, Krerley Oliveira, Adriano Barbosa, Allysson Lima, José Augusto Silva et al.
PLoS one 17 (9), e0273425 (2022)
Emergent hypernetworks in weakly coupled oscillators
Eddie Nijholt, Jorge Luis Ocampo-Espindola, Deniz Eroglu, István Z. Kiss, Tiago Pereira
Nature Communications 13 (1), 4849 (2022)
Dynamical systems defined on simplicial complexes: symmetries, conjugacies, and invariant subspaces
Eddie Nijholt, Lee DeVille
Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (9) (2022)
Absolute stability and absolute hyperbolicity in systems with discrete time-delays
Serhiy Yanchuk, Matthias Wolfrum, Tiago Pereira, Dmitry Turaev
Journal of Differential Equations 318, 323 (2022)
Robot Dance: A mathematical optimization platform for intervention against COVID-19 in a complex network
Luis Gustavo Nonato, Pedro Peixoto, Tiago Pereira, Claudia Sagastizábal, Paulo J. S. Silva
EURO Journal on Computational Optimization 10, 100025 (2022)
2021
Optimized delay of the second COVID-19 vaccine dose reduces ICU admissions
Paulo J. S. Silva, Claudia Sagastizábal, Luis Gustavo Nonato, Cláudio J. Struchiner, Tiago Pereira
Proceedings of the National Academy of Sciences 118 (35), e2104640118 (2021)
Chimera states through invariant manifold theory
Jaap Eldering, Jeroen S.W. Lamb, Tiago Pereira, Edmilson Roque dos Santos
Nonlinearity 34, 5344 (2021)
Smart testing and critical care bed sharing for COVID-19 control
Paulo J. S. Silva, Tiago Pereira, Claudia Sagastizábal, Luis Nonato, Marcelo M. Cordova, Cláudio Struchiner
PLoS One 16 (10), e0257235 (2021)
Recovering sparse networks: Basis adaptation and stability under extensions
Marcel Novaes, Edmilson Roque dos Santos, Tiago Pereira
Physica D: Nonlinear Phenomena 424, 132895 (2021)
Coherence resonance in influencer networks
Ralf Tönjes, Carlos E. Fiore, Tiago Pereira
Nature Communications 12 (1), 72 (2021)
A new algorithm for computing idempotents of R-trivial monoids
Eddie Nijholt, Bob Rink, Sören Schwenker
Journal of Algebra and its Applications 20 (12), 2150227 (2021)
Amplified steady state bifurcations in feedforward networks
Sören von der Gracht, Eddie Nijholt, Bob Rink
arXiv preprint arXiv:2105.02547 (2021)
Circulant type formulas for the eigenvalues of linear network maps
Lee DeVille, Eddie Nijholt
Linear Algebra and Its Applications 610, 379-439 (2021)
2020
Heterogeneously coupled maps: hub dynamics and emergence across connectivity layers
Tiago Pereira, Sebastian van Strien, Matteo Tanzi
Journal of the European Mathematical Society 22 (7), 2183-2252 (2020)
Revealing dynamics, communities, and criticality from data
Deniz Eroglu, Matteo Tanzi, Sebastian van Strien, Tiago Pereira
Physical Review X 10 (2), 021047 (2020)
Quiver representations and dimension reduction in dynamical systems
Eddie Nijholt, Bob W. Rink, Sören Schwenker
SIAM Journal on Applied Dynamical Systems 19 (4), 2428-2468 (2020)
Generalised symmetry in network dynamics
Eddie Nijholt, Bob Rink, Sören Schwenker
DSWeb Magazine (2020)
2019
Synchronization transitions caused by time-varying coupling functions
Zeray Hagos, Tomislav Stankovski, Julian Newman, Tiago Pereira, Peter V. E. McClintock et al.
Philosophical Transactions of the Royal Society A 377 (2160), 20190275 (2019)
Coupling functions: dynamical interaction mechanisms in the physical, biological and social sciences
Tomislav Stankovski, Tiago Pereira, Peter V. E. McClintock, Aneta Stefanovska
Philosophical Transactions of the Royal Society A (2019)
The effects of structural perturbations on the synchronizability of diffusive networks
Camille Poignard, Jan Philipp Pade, Tiago Pereira
Journal of Nonlinear Science 29 (5), 1919-1942 (2019)
Robustness of ergodic properties of non-autonomous piecewise expanding maps
Matteo Tanzi, Tiago Pereira, Sebastian van Strien
Ergodic Theory and Dynamical Systems 39 (4), 1121-1152 (2019)
Consequences of delays and imperfect implementation of isolation in epidemic control
Lai-Sang Young, Stefan Ruschel, Serhiy Yanchuk, Tiago Pereira
Scientific Reports 9 (1), 3505 (2019)
Center manifolds of coupled cell networks
Eddie Nijholt, Bob Rink, Jan Sanders
SIAM Review 61 (1), 121-155 (2019)
2018
SIQ: a delay differential equations model for disease control via isolation
Stefan Ruschel, Tiago Pereira, Serhiy Yanchuk, Lai-Sang Young
Journal of Mathematical Biology (2018)
Spectra of Laplacian matrices of weighted graphs: structural genericity properties
Camille Poignard, Tiago Pereira, Jan Philipp Pade
SIAM Journal on Applied Mathematics 78 (1), 372-394 (2018)
Synchronization in networks with strongly delayed couplings
Daniel Maia, Elbert E. N. Macau, Tiago Pereira, Serhiy Yanchuk
Discrete and Continuous Dynamical Systems – B 23, 3461-3482 (2018)
2017
Coupling functions: universal insights into dynamical interaction mechanisms
Tomislav Stankovski, Tiago Pereira, Peter V. E. McClintock, Aneta Stefanovska
Reviews of Modern Physics 89 (4), 045001 (2017)
Anticipated and zero-lag synchronization in motifs of delay-coupled systems
C. R. Mirasso, P. V. Carelli, T. Pereira, F. S. Matias, M. Copelli
Chaos: An Interdisciplinary Journal of Nonlinear Science 27 (11) (2017)
Self-synchronization in duty-cycled Internet of Things (IoT) applications
Poonam Yadav, Julie A. McCann, Tiago Pereira
IEEE Internet of Things Journal 4 (6), 2058-2069 (2017)
Synchronisation of chaos and its applications
Deniz Eroglu, Jeroen S.W. Lamb, Tiago Pereira
Contemporary Physics 58 (3), 207-243 (2017)
CeMEAI: the Brazilian center and its mathematics research for industry
E. G. Birgin, J. A. Cuminato, J. M. Martínez, Tiago Pereira
Notices of the AMS 64 (5) (2017)
Center manifolds of coupled cell networks
Eddie Nijholt, Bob Rink, Jan Sanders
SIAM Journal on Mathematical Analysis 49 (5), 4117-4148 (2017)
Projection blocks in homogeneous coupled cell networks
Eddie Nijholt, Bob Rink, Jan Sanders
Dynamical Systems 32 (1), 164-186 (2017)
Transversality in dynamical systems with generalized symmetry
Eddie Nijholt, Bob Rink
arXiv preprint arXiv:1710.07152 (2017)