Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Lee DeVille"'
Autor:
Eddie Nijholt, Lee DeVille
Publikováno v:
Chaos (Woodbury, N.Y.). 32(9)
We consider the general model for dynamical systems defined on a simplicial complex. We describe the conjugacy classes of these systems and show how symmetries in a given simplicial complex manifest in the dynamics defined thereon, especially with re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d1e1fc2322ef80df668c442e38311ca3
https://pubmed.ncbi.nlm.nih.gov/36182350
https://pubmed.ncbi.nlm.nih.gov/36182350
Publikováno v:
SIAM Journal on Applied Mathematics, 2011 Jan 01. 71(4), 1458-1475.
Externí odkaz:
http://dx.doi.org/10.1137/100782139
In this paper we address two questions about the synchronization of coupled oscillators in the Kuramoto model with all-to-all coupling. In the first part we use some classical results in convex geometry to prove bounds on the size of the frequency se
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::37f3fca352fe817e03d96fe2e4555c6f
http://arxiv.org/abs/2007.04343
http://arxiv.org/abs/2007.04343
Autor:
Lee DeVille, Eddie Nijholt
Given an admissible map γ f for a homogeneous network N , it is known that the Jacobian D γ f ( x ) around a fully synchronous point x = ( x 0 , … , x 0 ) is again an admissible map for N . Motivated by this, we study the spectra of linear admiss
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cac715648007cb7d30c1a3dd9770157d
http://arxiv.org/abs/1910.01316
http://arxiv.org/abs/1910.01316
Autor:
Lee DeVille
Publikováno v:
Chaos: An Interdisciplinary Journal of Nonlinear Science. 31:023137
We consider a nonlinear flow on simplicial complexes related to the simplicial Laplacian and show that it is a generalization of various consensus and synchronization models commonly studied on networks. In particular, our model allows us to formulat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f1a9683f8f18c09e9174150a3e0a1d3
https://doi.org/10.1063/5.0037433
https://doi.org/10.1063/5.0037433
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 15:526-556
We present a variety of results analyzing the behavior of a class of stochastic processes---referred to as piecewise deterministic Markov processes (PDMPs)---for the infinite-time interval and determine general conditions on when the moments of such
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d60dae685657190a655c1cb2a847148
https://doi.org/10.1137/140996975
https://doi.org/10.1137/140996975
The Kuramoto–Sakaguchi model is a generalization of the well-known Kuramoto model that adds a phase-lag paramater or “frustration” to a network of phase-coupled oscillators. The Kuramoto model is a flow of gradient type, but adding a phase-lag
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d5e3cda08c9b5ad3a92790c30975647
http://arxiv.org/abs/1803.07962
http://arxiv.org/abs/1803.07962
Autor:
Lee DeVille
We present and analyze a nonabelian version of the Kuramoto system, which we call the Quantum Kuramoto system. We study the stability of several classes of special solutions to this system, and show that for certain connection topologies the system s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d95347f5f5439eb7f1a20e7ba36c20e
Autor:
Lee DeVille
The generalized distance matrix of a graph is the matrix whose entries depend only on the pairwise distances between vertices, and the generalized distance spectrum is the set of eigenvalues of this matrix. This framework generalizes many of the comm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1880c3b1adbd93f7e68d114f5889124a
We present and analyze a model of opinion formation on an arbitrary network whose dynamics comes from a global energy function. We study the global and local minimizers of this energy, which we call stable opinion configurations, and describe the glo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55dc4c3c21fae997ecb1d15b21da63c3