Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Martens, Erik Andreas"'
The model by Hu and Cai [Phys. Rev. Lett., Vol. 111(13) (2013)1 ] 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 co
Externí odkaz:
http://arxiv.org/abs/2407.04120
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
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
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
Autor:
Hong, Hyunsuk, Martens, Erik Andreas
We investigate the collective dynamics of a population of XY model-type oscillators, globally coupled via non-separable interactions that are randomly chosen from a positive or negative value, and subject to thermal noise controlled by temperature $T
Externí odkaz:
http://arxiv.org/abs/2111.00893
Publikováno v:
Progress in Industrial Mathematics at ECMI, Mathematics in Industry Vol 30, Springer Publishing, 2019
Transport networks are crucial to the functioning of natural systems and technological infrastructures. For flow networks in many scenarios, such as rivers or blood vessels, acyclic networks (i.e., trees) are optimal structures when assuming time-ind
Externí odkaz:
http://arxiv.org/abs/1810.10049
Publikováno v:
Frontiers in Physics, Vol. 5, Article 62, November 2017
Transport networks are crucial to the functioning of natural and technological systems. Nature features transport networks that are adaptive over a vast range of parameters, thus providing an impressive level of robustness in supply. Theoretical and
Externí odkaz:
http://arxiv.org/abs/1711.00401
Publikováno v:
Chaos, 26(9), 94819 (2016)
The simplest network of coupled phase-oscillators exhibiting chimera states is given by two populations with disparate intra- and inter-population coupling strengths. We explore the effects of heterogeneous coupling phase-lags between the two populat
Externí odkaz:
http://arxiv.org/abs/1606.01871