Zobrazeno 1 - 10
of 396
pro vyhledávání: '"Martens Erik"'
The model by Hu and Cai [Phys. Rev. Lett., Vol. 111(13) (2013)] describes the self-organization of vascular networks for transport of fluids from source to sinks. Diameters, and thereby conductances, of vessel segments evolve so as to minimize a cost
Externí odkaz:
http://arxiv.org/abs/2407.04120
Inverse stochastic resonance (ISR) is a phenomenon where noise reduces rather than increases the firing rate of a neuron, sometimes leading to complete quiescence. ISR was first experimentally verified with cerebellar Purkinje neurons. These experime
Externí odkaz:
http://arxiv.org/abs/2407.03151
Autor:
Cestnik, Rok, Martens, Erik A.
We investigate the dynamics of the adaptive Kuramoto model with slow adaptation in the continuum limit, $N\to\infty$. This model is distinguished by dense multistability, where multiple states coexist for the same system parameters. The underlying ca
Externí odkaz:
http://arxiv.org/abs/2407.03433
Natural and technological networks exhibit dynamics that can lead to complex cooperative behaviors, such as synchronization in coupled oscillators and rhythmic activity in neuronal networks. Understanding these collective dynamics is crucial for deci
Externí odkaz:
http://arxiv.org/abs/2407.01089
Transport networks are crucial for the functioning of natural and technological systems. We study a mathematical model of vascular network adaptation, where the network structure dynamically adjusts to changes in blood flow and pressure. The model is
Externí odkaz:
http://arxiv.org/abs/2305.19401
Autor:
Cestnik, Rok, Martens, Erik A.
Publikováno v:
Phys. Rev. Lett. 132, 057201 (2024)
We present an exact dimensionality reduction for dynamics of an arbitrary array of globally coupled complex-valued Riccati equations. It generalizes the Watanabe-Strogatz theory [Phys. Rev. Lett. 70, 2391 (1993)] for sinusoidally coupled phase oscill
Externí odkaz:
http://arxiv.org/abs/2305.17683
Networks of coupled dynamical units give rise to collective dynamics such as the synchronization of oscillators or neurons in the brain. The ability of the network to adapt coupling strengths between units in accordance with their activity arises nat
Externí odkaz:
http://arxiv.org/abs/2209.10514
Autor:
Bernaerts, Eline, Ahmadzadeh, Kourosh, De Visscher, Amber, Malengier-Devlies, Bert, Häuβler, Daniel, Mitera, Tania, Martens, Erik, Krüger, Achim, De Somer, Lien, Matthys, Patrick, Vandooren, Jennifer
Publikováno v:
In iScience 15 November 2024 27(11)
Publikováno v:
Chaos 2022
Models of coupled oscillator networks play an important role in describing collective synchronization dynamics in biological and technological systems. The Kuramoto model describes oscillator's phase evolution and explains the transition from incoher
Externí odkaz:
http://arxiv.org/abs/2203.16839
Publikováno v:
Chaos, 32(9), 093109, 2022
Despite their simplicity, networks of coupled phase oscillators can give rise to intriguing collective dynamical phenomena. However, the symmetries of globally and identically coupled identical units do not allow solutions where distinct oscillators
Externí odkaz:
http://arxiv.org/abs/2202.10807