Dynamics of a neural system with a multiscale architecture

M Breakspear, CJ Stam - Philosophical Transactions of …, 2005 - royalsocietypublishing.org
The architecture of the brain is characterized by a modular organization repeated across a
hierarchy of spatial scales—neurons, minicolumns, cortical columns, functional brain …

AGL-score: algebraic graph learning score for protein–ligand binding scoring, ranking, docking, and screening

DD Nguyen, GW Wei - Journal of chemical information and …, 2019 - ACS Publications
Although algebraic graph theory-based models have been widely applied in physical
modeling and molecular studies, they are typically incompetent in the analysis and …

Network synchronization, diffusion, and the paradox of heterogeneity

AE Motter, C Zhou, J Kurths - Physical Review E—Statistical, Nonlinear, and …, 2005 - APS
Many complex networks display strong heterogeneity in the degree (connectivity)
distribution. Heterogeneity in the degree distribution often reduces the average distance …

Enhancing complex-network synchronization

AE Motter, CS Zhou, J Kurths - Europhysics Letters, 2005 - iopscience.iop.org
Heterogeneity in the degree (connectivity) distribution has been shown to suppress
synchronization in networks of symmetrically coupled oscillators with uniform coupling …

MathDL: mathematical deep learning for D3R Grand Challenge 4

DD Nguyen, K Gao, M Wang, GW Wei - Journal of computer-aided …, 2020 - Springer
We present the performances of our mathematical deep learning (MathDL) models for D3R
Grand Challenge 4 (GC4). This challenge involves pose prediction, affinity ranking, and free …

Wavelets in physics

JC Van den Berg - Wavelets in physics, 2004 - ui.adsabs.harvard.edu
A guided tour JC van den Berg; 1. Wavelet analysis, a new tool in physics J.-P. Antoine; 2.
The 2-D wavelet transform, physical applications J.-P. Antoine; 3. Wavelets and …

High-dimensional chaos in dissipative and driven dynamical systems

ZE Musielak, DE Musielak - International Journal of Bifurcation and …, 2009 - World Scientific
Studies of nonlinear dynamical systems with many degrees of freedom show that the
behavior of these systems is significantly different as compared with the behavior of systems …

Complete synchronization and generalized synchronization of one-way coupled time-delay systems

M Zhan, X Wang, X Gong, GW Wei, CH Lai - Physical Review E, 2003 - APS
The complete synchronization and generalized synchronization (GS) of one-way coupled
time-delay systems are studied. We find that GS can be achieved by a single scalar signal …

Perturbation of coupling matrices and its effect on the synchronizability in arrays of coupled chaotic systems

CW Wu - Physics Letters A, 2003 - Elsevier
In a recent paper, wavelet analysis is used to perturb the coupling matrix in an array of
identical chaotic systems in order to improve its synchronization. When the coupling matrix is …

Chaos synchronization in complex networks

M Chen - IEEE Transactions on Circuits and Systems I: Regular …, 2008 - ieeexplore.ieee.org
In this paper, we study chaos synchronization in complex networks with time-invariant, time-
varying and switching configurations based on the matrix measure of complex matrices. To …