Análisis Matemático Matemática Aplicada
Departamento
ALBERTO
PÉREZ CERVERA
Investigador hasta 2023
Publicaciones en las que colabora con ALBERTO PÉREZ CERVERA (13)
2024
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Slow passage through a transcritical bifurcation in piecewise linear differential systems: Canard explosion and enhanced delay
Communications in Nonlinear Science and Numerical Simulation, Vol. 135
2023
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A universal description of stochastic oscillators
Proceedings of the National Academy of Sciences of the United States of America, Vol. 120, Núm. 29
2022
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A framework for macroscopic phase-resetting curves for generalised spiking neural networks
PLoS Computational Biology, Vol. 18, Núm. 8
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Quantitative comparison of the mean–return-time phase and the stochastic asymptotic phase for noisy oscillators
Biological Cybernetics, Vol. 116, Núm. 2, pp. 219-234
2021
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Explaining the behaviour of random ecological networks: the stability of the microbiome as a case of integrative pluralism
Synthese, Vol. 198, Núm. 3, pp. 2003-2025
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Isostables for Stochastic Oscillators
Physical Review Letters, Vol. 127, Núm. 25
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Perturbations both trigger and delay seizures due to generic properties of slow-fast relaxation oscillators
PLoS Computational Biology, Vol. 17, Núm. 3
2020
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Global phase-amplitude description of oscillatory dynamics via the parameterization method
Chaos, Vol. 30, Núm. 8
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Phase-locked states in oscillating neural networks and their role in neural communication
Communications in Nonlinear Science and Numerical Simulation, Vol. 80
2019
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A Geometric Approach to Phase Response Curves and Its Numerical Computation Through the Parameterization Method
Journal of Nonlinear Science, Vol. 29, Núm. 6, pp. 2877-2910
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The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability
Journal of Mathematical Neuroscience, Vol. 9, Núm. 1
2018
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Computation of invariant curves in the analysis of periodically forced neural oscillators
Understanding Complex Systems (Springer Verlag), pp. 63-81
2016
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On the role of Oscillations and Phases in Neural Communication
No Lineal 2016. International Conference on Nonlinear Mathematics and Physics: 7-10, 2016. book of abstracts (Juan F.R. Archilla), pp. 48-48