Zobrazeno 1 - 10
of 99 576
pro vyhledávání: '"Kuramoto"'
Publikováno v:
Kuramoto Co., Ltd. MarketLine Company Profile. 8/28/2023, p1-12. 12p.
It has long been known in both neuroscience and AI that ``binding'' between neurons leads to a form of competitive learning where representations are compressed in order to represent more abstract concepts in deeper layers of the network. More recent
Externí odkaz:
http://arxiv.org/abs/2410.13821
Autor:
Mai, Tina
We consider the Kuramoto-Sakaguchi-Fokker-Planck equation (namely, parabolic Kuramoto-Sakaguchi, or Kuramoto-Sakaguchi equation, which is a nonlinear parabolic integro-differential equation) with inertia and white noise effects. We study the hydrodyn
Externí odkaz:
http://arxiv.org/abs/2410.05113
Synchronization is a ubiquitous phenomenon in nature. Although it is necessary for the functioning of many systems, too much synchronization can also be detrimental, e.g., (partially) synchronized brain patterns support high-level cognitive processes
Externí odkaz:
http://arxiv.org/abs/2409.13578
Autor:
Olshanetsky, M.
We define the families of Kuramoto models (KM) related to bounded symmetric domains. The families include the Lohe unitary model and the spherical models as special cases. Our approach is based on the construction proposed by Watanabe and Strogats WS
Externí odkaz:
http://arxiv.org/abs/2411.06829
We investigate hysteresis in a generalized Kuramoto model with identical oscillators, focusing on coupling strength inhomogeneity, which results in oscillators being coupled to others with varying strength, and a simplified, more realistic coupling f
Externí odkaz:
http://arxiv.org/abs/2410.18515
Autor:
Sander, Leonard M.
We study a system of coupled oscillators of the Sakaguchi-Kuramoto type with interactions including a phase delay. We consider the case of a coupling matrix such that oscillators with large natural frequencies drive all slower ones but not the revers
Externí odkaz:
http://arxiv.org/abs/2410.19156
Synchronization is an important phenomenon in a wide variety of systems comprising interacting oscillatory units, whether natural (like neurons, biochemical reactions, cardiac cells) or artificial (like metronomes, power grids, Josephson junctions).
Externí odkaz:
http://arxiv.org/abs/2409.08736
The Birman-Williams theorem gives a connection between the collection of unstable periodic orbits (UPOs) contained within a chaotic attractor and the topology of that attractor, for three-dimensional systems. In certain cases, the fractal dimension o
Externí odkaz:
http://arxiv.org/abs/2409.01719
Reservoir computing aims to achieve high-performance and low-cost machine learning with a dynamical system as a reservoir. However, in general, there are almost no theoretical guidelines for its high-performance or optimality. This paper focuses on t
Externí odkaz:
http://arxiv.org/abs/2407.16172