Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Sarthak Chandra"'
Publikováno v:
Physical Review X, Vol 9, Iss 1, p 011002 (2019)
The Kuramoto model, originally proposed to model the dynamics of many interacting oscillators, has been used and generalized for a wide range of applications involving the collective behavior of large heterogeneous groups of dynamical units whose sta
Externí odkaz:
https://doaj.org/article/72f948b0d99849c0bf9ebc40ad2c19fd
Publikováno v:
Proceedings of the National Academy of Sciences. 120
Network link inference from measured time series data of the behavior of dynamically interacting network nodes is an important problem with wide-ranging applications, e.g., estimating synaptic connectivity among neurons from measurements of their cal
The grid cell system is a paradigmatic example of the computational advantages of modular representations. Modular grid responses emerge along a strip of cortex with smooth gradients in several biophysical properties, within days of eye opening in ju
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1bbc3b74abe4ad1c861972b677b8efbe
https://doi.org/10.1101/2021.10.28.466284
https://doi.org/10.1101/2021.10.28.466284
Publikováno v:
Chaos (Woodbury, N.Y.). 29(5)
Previous results have shown that a large class of complex systems consisting of many interacting heterogeneous phase oscillators exhibit an attracting invariant manifold. This result has enabled reduced analytic system descriptions from which all the
Autor:
Sarthak Chandra, Edward Ott
We consider a recently introduced $D$-dimensional generalized Kuramoto model for many $(N\gg 1)$ interacting agents in which the agent states are $D$-dimensional unit vectors. It was previously shown that, for even $D$, similar to the original Kuramo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::13a10951a5f67dc0fafae2e60631c0f5
http://arxiv.org/abs/1902.05159
http://arxiv.org/abs/1902.05159
Publikováno v:
Physical Review X. 9
The Kuramoto model has long described synchronization among members of a swarm but only in two dimensions. A new study extends this model to work with any number of dimensions, giving remarkable results for odd dimensions.
Network science is a rapidly expanding field, with a large and growing body of work on network-based dynamical processes. Most theoretical results in this area rely on the so-called \emph{locally tree-like approximation}. This is, however, usually an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb9b3c8ae0162eb840fc2b0f18cf4852
Publikováno v:
Annals of Physics. 361:82-90
We consider the motion of a system of free particles moving on a plane with regular hard polygonal scatterers arranged in a random manner. Calling this the Ehrenfest gas, which is known to have a zero Lyapunov exponent, we propose a finite-time expon
Autor:
Edward Ott, Alexander Wikner, Jaideep Pathak, Brian R. Hunt, Michelle Girvan, Sarthak Chandra, Rebeckah Fussell
A model-based approach to forecasting chaotic dynamical systems utilizes knowledge of the mechanistic processes governing the dynamics to build an approximate mathematical model of the system. In contrast, machine learning techniques have demonstrate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::389ce905a0f49be1b21f4b818c8f445c
Autor:
David Hathcock, Edward Ott, Thomas M. Antonsen, Sarthak Chandra, Kimberly Crain, Michelle Girvan
We derive a mean-field approximation for the macroscopic dynamics of large networks of pulse-coupled theta neurons in order to study the effects of different network degree distributions, as well as degree correlations (assortativity). Using the ansa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f6c61f85d288c97443a5a2c93d79302a
http://arxiv.org/abs/1701.00212
http://arxiv.org/abs/1701.00212