Zobrazeno 1 - 10
of 156
pro vyhledávání: '"Pazó, Diego"'
Autor:
Pazó, Diego
Publikováno v:
Phys. Rev. E 110, 014201 (2024)
We study a paradigmatic random recurrent neural network introduced by Sompolinsky, Crisanti, and Sommers (SCS). In the infinite size limit, this system exhibits a direct transition from a homogeneous rest state to chaotic behavior, with the Lyapunov
Externí odkaz:
http://arxiv.org/abs/2405.14607
Autor:
Pazó, Diego, Gallego, Rafael
Publikováno v:
Phys. Rev. E 108, 014202 (2023)
Populations of heterogeneous phase oscillators with frustrated random interactions exhibit a quasi-glassy state in which the distribution of local fields is volcano-shaped. In a recent work [Phys. Rev. Lett. 120, 264102 (2018)] the volcano transition
Externí odkaz:
http://arxiv.org/abs/2306.07609
Efficient moment-based approach to the simulation of infinitely many heterogeneous phase oscillators
Autor:
León, Iván, Pazó, Diego
Publikováno v:
Chaos 32, 063124 (2022)
The dynamics of ensembles of phase oscillators are usually described considering their infinite-size limit. In practice, however, this limit is fully accessible only if the Ott-Antonsen theory can be applied, and the heterogeneity is distributed foll
Externí odkaz:
http://arxiv.org/abs/2205.08173
Autor:
León, Iván, Pazó, Diego
Publikováno v:
Phys. Rev. E 105, L042201 (2022)
The emergence of collective synchrony from an incoherent state is a phenomenon essentially described by the Kuramoto model. This canonical model was derived perturbatively, by applying phase reduction to an ensemble of heterogeneous, globally coupled
Externí odkaz:
http://arxiv.org/abs/2112.00176
Publikováno v:
Physical Review E 104, 034216 (2021)
Globally coupled maps (GCMs) are prototypical examples of high-dimensional dynamical systems. Interestingly, GCMs formed by an ensemble of weakly coupled identical chaotic units generically exhibit a hyperchaotic 'turbulent' state. A decade ago, Take
Externí odkaz:
http://arxiv.org/abs/2110.01949
Autor:
Pazó, Diego, Gallego, Rafael
Publikováno v:
Chaos 31, 018101 (2021)
In a recent paper [Chaos 30, 073139 (2020)] we analyzed an extension of the Winfree model with nonlinear interactions. The nonlinear coupling function Q was mistakenly identified with the non-infinitesimal phase-response curve (PRC). Here, we asses t
Externí odkaz:
http://arxiv.org/abs/2101.04612
Autor:
Montbrió, Ernest, Pazó, Diego
Publikováno v:
Phys. Rev. Lett. 125, 248101 (2020)
Electrical synapses play a major role in setting up neuronal synchronization, but the precise mechanisms whereby these synapses contribute to synchrony are subtle and remain elusive. To investigate these mechanisms mean-field theories for quadratic i
Externí odkaz:
http://arxiv.org/abs/2009.01445
Autor:
Pazó, Diego, Gallego, Rafael
Publikováno v:
Chaos 30, 073139 (2020)
A novel generalization of the Winfree model of globally coupled phase oscillators, representing phase reduction under finite coupling, is studied analytically. We consider interactions through a non-infinitesimal (or finite) phase-response curve (PRC
Externí odkaz:
http://arxiv.org/abs/2007.13588
Autor:
León, Iván, Pazó, Diego
Publikováno v:
Phys. Rev. E 102, 042203 (2020)
The dynamics of an ensemble of $N$ weakly coupled limit-cycle oscillators can be captured by their $N$ phases using standard phase reduction techniques. However, it is a phenomenological fact that all-to-all strongly coupled limit-cycle oscillators m
Externí odkaz:
http://arxiv.org/abs/2006.02159
Publikováno v:
Sci Rep 10, 11484 (2020)
Correlation Networks (CNs) inherently suffer from redundant information in their network topology. Bayesian Networks (BNs), on the other hand, include only non-redundant information (from a probabilistic perspective) resulting in a sparse topology fr
Externí odkaz:
http://arxiv.org/abs/1912.03758