Louis M. Pecora

TL;DR: It is shown how group consensus for heterogeneous linear agents can be achieved via a simple coupling protocol that exploits the topology of the network and observed the phenomenon of "isolated group consensus," where one or more clusters may achieve group consensus while the other clusters do not.

TL;DR: While the fluctuation statistics are very different for chaotic and nonchaotic well dynamics, it is shown that the mean splittings of differently shaped wells, including integrable and chaotic wells, are the the same if their well areas and barrier parameters are the same.

TL;DR: The quantum chaos regularizes the tunneling rates in various shaped, closed, two-dimensional, flat-potential, double wells by calculating the energy splitting between symmetric and antisymmetric state pairs.

TL;DR: Methods for assessing coupling between system components for use in understanding system dynamics and interactions and in detecting changes in system dynamics hold promise for such ecological problems as identifying indicator species, developing informative spatial monitoring designs, detecting ecosystem change and damage, and investigating such topics as population synchrony, species interactions, and environmental drivers.

TL;DR: In this article, the Hamiltonian matrix of the driven system does not look like one from a Gaussian ensemble, but rather it is very sparse, characterized by parameters $s$ and $g$ that reflect the percentage of large elements, and their connectivity respectively.