Your English writing platform
Discover LudwigExact(3)
We present the sharpest known results about synchronization in networks of homogeneous and heterogeneous oscillators, with complete or sparse interconnection topologies, and in finite-dimensional and infinite-dimensional settings.
In this paper, we extend the results in [ 13] that focus on obtaining sparse interconnection networks from experimental data to general and large-scale networks.
Support for the validity of above heuristic to obtain a sparse interconnection matrix A are also Theorem 1.1 of [ 22] and the work presented in [ 23].
Similar(57)
On the other hand, the bow tie network found in signaling networks has fewer nodes with sparse interconnections even if such connections exist.
In contrast to metabolic networks where the core often forms a large cluster with interconnected nodes, bow ties in signaling networks are reported to have fewer nodes with sparse interconnections [ 19] – if they exist at all.
Therefore in this case too, a sparse topology interconnection is obtained, but the matrix in this case is not as sparse as before.
As compared to the dense network of microvessels observed in vehicle-treated tumors, the microvessels of TSU-68-treated tumors appeared sparse and lacking interconnection.
Dense or excessively sparse wrapping may impede the interconnection and dispersity of the MWCNTs, respectively, and therefore resulted in decreased conductivities.
Although interconnections between these fibers were sparse, multiple fibers appeared to aggregate at layer edges to form thick collagen tendons (Fig. 7 C ).
Interconnection of sandstone bodies is poor in the distal areas because channel-fill bodies are sparse, small and are not deeply incised.
Having an equal amount of nonzero nominal CIR taps, the performance increase in the sparse channels is not attributed to more diversity due to extra multipath, but rather to the higher level of interconnection between the neurons in the HNN.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com