To process a spatiotemporal pattern, a short-term memory (STM) is needed to maintain the pattern over time. In general, a STM for storing a temporal sequence of input items should possess characteristics such as acting as a rst-in-rst-out buuer, storing multiple items of the same type, and encoding interval-invariant and rate-invariant representations of the input items. Some of these character...

The paper contains a rigorous proof of existence symbolic dynamics chaos in the generalized H\'enon map's 4th iterate $H^4$, which was conjectured \textit{A 3D Smale Horseshoe Hyperchaotic Discrete-Time System} Li and Yang, 2007. We prove also uniform hyperbolicity invariant set with dynamics. proofs are computer-assisted use C++ library \textit{CAPD} for interval arithmetic, differentiation in...

let a be a bounded linear operator on a banach space x. we investigate the conditions of existing rank-one operator b such that i+f(a)b is invertible for every analytic function f on sigma(a). also we compare the invariant subspaces of f(a)b and b. this work is motivated by an operator method on the banach space ell^2 for solving some pdes which is extended to general operator space under some ...

background: invariant natural killer cells (inkt) are an important immunoregulatory t cell subset. currently several flow cytometry-based approaches exist for the identifi-cation of inkt cells, which rely on using the 6b11 monoclonal antibody or a combina-tion of anti-vα24 and anti-vβ11 antibodies. objective: the aim of this study was to compare the ability of two flow cytometry-based methods f...

We revisit here the notion of discrete scale invariance. Initially defined for signal indexed by the positive reals, we present a generalized version of discrete scale invariant signals relying on a renormalization group approach. In this view, the signals are seen as fixed point of a renormalization operator acting on a space of signal. We recall how to show that these fixed point present disc...

A new two-parameter family of ergordic transformations with non-uniform invariant measures on the unit interval I = [0, 1] is found here. The family has a special property that their invariant measures can be explicitly written in terms of algebraic functions of parameters and a dynamical variable. Furthermore, it is also proven here that this family is the most generalized class of exactly sol...

We consider the stabilization of networked control systems with time-invariant clock offset between the sensors and the controllers. Clock offsets are modeled as parametric uncertainty and we provide necessary and sufficient conditions for the existence of a single controller that is capable of stabilizing the closed loop for every parameter value in a given range. For scalar systems, using the...

In their celebrated ”Period three implies chaos” paper, Li and Yorke proved that if a continuous interval map f has a period 3 point then there is an uncountable scrambled set S on which f has very complicated dynamics. One question arises naturally: Can this set S be chosen invariant under f? The answer is positive for turbulent maps and negative otherwise. In this note, we shall use symbolic ...