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pro vyhledávání: '"Leon, Ivan"'
We analyze the simplest model of identical coupled phase oscillators subject to two-body and three-body interactions with permutation symmetry. This model is derived from an ensemble of weakly coupled nonlinear oscillators by phase reduction. Our stu
Externí odkaz:
http://arxiv.org/abs/2309.09265
Autor:
León, Iván, Nakao, Hiroya
Publikováno v:
Chaos, Solitons, Fractals, 176, 114117 (2023)
Phase reduction is a dimensionality reduction scheme to describe the dynamics of nonlinear oscillators with a single phase variable. While it is crucial in synchronization analysis of coupled oscillators, analytical results are limited to few systems
Externí odkaz:
http://arxiv.org/abs/2308.02105
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
Publikováno v:
In Sustainable Cities and Society 15 November 2024 115
Autor:
McShane, Marjorie, Leon, Ivan
This paper describes recent progress on natural language generation (NLG) for language-endowed intelligent agents (LEIAs) developed within the OntoAgent cognitive architecture. The approach draws heavily from past work on natural language understandi
Externí odkaz:
http://arxiv.org/abs/2201.10422
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
Autor:
González-Hermosillo, Leslie-Marisol, Cueto-Robledo, Guillermo, Navarro-Vergara, Dulce-Iliana, Roldan-Valadez, Ernesto, Porres-Aguilar, Mateo, Garcia-Cesar, Marisol, Torres-Rojas, Maria-Berenice, Hernández-Villa, Lizbeth, Tapia-Leon, Ivan-Arturo, Mendoza-Pineda, Julio-Cesar
Publikováno v:
In Current Problems in Cardiology January 2024 49(1) Part B
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
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