In this paper, we use Lyapunov exponents to analyze how the dynamical properties of H\'enon map change as a function coefficients linear filter inserted in its feedback loop. We show that generated orbits can be chaotic or not, depending on coefficients. The dynamics system presents complex behavior, including cascades bifurcations, coexistence attractors, crises, and "shrimps". obtained result...

Motivated in part by recent works on the genus of classifying spaces of compact Lie groups, here we study the set of filtered λ-ring structures over a filtered ring from a purely algebraic point of view. From a global perspective, we first show that this set has a canonical topology compatible with the filtration on the given filtered ring. For power series rings R[[x]], where R is between Z an...

When using visual video features in an interactive video index environment, it is necessary to visualize the meaning and impact of features to people that are not image processing experts, such as video librarians. Projection of feature values on the original video data is an important method to visualize the relation between the feature and the video. We describe the characteristics of feature...

Oceanic microseisms are generated by the interaction of opposing ocean waves and subsequent coupling with the seabed, so microseisms should contain information on the ocean conditions that generated them. This leads to the possibility of using seismic records as a proxy for the ocean gravity wavefield. Here we investigate the P-wave component of microseisms, which has previously been linked to ...

The 2011 Tohoku megathrust earthquake had an unexpected size for the region. To image the earthquake rupture in detail, we applied a novel backprojection technique to waveforms from local accelerometer networks. The earthquake began as a small-size twin rupture, slowly propagating mainly updip and triggering the break of a larger-size asperity at shallower depths, resulting in up to 50 m slip a...