Zobrazeno 1 - 10
of 595
pro vyhledávání: '"Coombes, Stephen A."'
Robust delay induced oscillations, common in nature, are often modeled by delay-differential equations (DDEs). Motivated by the success of phase-amplitude reductions for ordinary differential equations with limit cycle oscillations, there is now a gr
Externí odkaz:
http://arxiv.org/abs/2404.17356
Networks of coupled nonlinear oscillators can display a wide range of emergent behaviours under variation of the strength of the coupling. Network equations for pairs of coupled oscillators where the dynamics of each node is described by the evolutio
Externí odkaz:
http://arxiv.org/abs/2310.02725
Autor:
Coombes, Stephen, Sayli, Mustafa, Thul, Rüdiger, Nicks, Rachel, Porter, Mason A, Lai, Yi Ming
There is enormous interest -- both mathematically and in diverse applications -- in understanding the dynamics of coupled oscillator networks. The real-world motivation of such networks arises from studies of the brain, the heart, ecology, and more.
Externí odkaz:
http://arxiv.org/abs/2308.09655
Autor:
Wang, Wei-en, Asken, Breton M., DeSimone, Jesse C., Levy, Shellie-Anne, Barker, Warren, Fiala, Jacob A., Velez-Uribe, Idaly, Curiel Cid, Rosie E., Rósselli, Monica, Marsiske, Michael, Adjouadi, Malek, Loewenstein, David A., Duara, Ranjan, Smith, Glenn E., Armstrong, Melissa J., Barnes, Lisa L., Vaillancourt, David E., Coombes, Stephen A.
Publikováno v:
In Ageing Research Reviews November 2024 101
Publikováno v:
In Neuroscience and Biobehavioral Reviews August 2024 163
Publikováno v:
In NeuroImage 15 April 2024 292
Autor:
Şaylı, Mustafa, Coombes, Stephen
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation April 2024 131
We consider a simple neural field model in which the state variable is dendritic voltage, and in which somas form a continuous one-dimensional layer. This neural field model with dendritic processing is formulated as an integro-differential equation.
Externí odkaz:
http://arxiv.org/abs/2003.12761
Autor:
Forrester, Michael, Coombes, Stephen, Crofts, Jonathan J., Sotiropoulos, Stamatios N., O'Dea, Reuben D.
Publikováno v:
Network Neuroscience (2020), 4(2) 467-483
The contribution of structural connectivity to functional brain states remains poorly understood. We present a mathematical and computational study suited to assess the structure--function issue, treating a system of Jansen--Rit neural-mass nodes wit
Externí odkaz:
http://arxiv.org/abs/1906.11573
Publikováno v:
In Physica D: Nonlinear Phenomena February 2023 444