Abstract Critical intermittency stands for a type of intermittent dynamics in iterated function systems, caused by an interplay superstable fixed point and repelling point. We consider critical systems interval maps demonstrate the existence phase transition when varying probabilities, where absolutely continuous stationary measure changes between finite infinite. discuss further properties thi...

This paper overviews nonlinear dynamics of switching power converters which are common objects in dynamical system theory and power electronics. First, complex dynamics of single switching power converters is discussed. Their nonlinear switching can cause rich chaotic and bifurcation phenomena including complicated superstable periodic behavior in discontinuous conduction mode. Second, parallel...

Buck, boost, and buck-boost converters constitute large class of dc-dc converters used in practice and are interesting nonlinear dynamical systems. It has been shown earlier that various nonlinear phenomena including subharmonics and chaos can be observed in these converters. In this paper we show that with the simplifying assumption that voltage regulation is achieved in high frequency modulat...

A structure M is pregeometric if the algebraic closure is a pregeometry in all M ′ elementarily equivalent to M . We define a generalisation: structures with an existential matroid. The main examples are superstable groups of U-rank a power of ω and d-minimal expansion of fields. Ultraproducts of pregeometric structures expanding a field, while not pregeometric in general, do have an unique exi...

If two models of a first order theory are isomorphic then they remain isomorphic in any forcing extension of the universe of sets. In general, however, such a forcing extension may create new isomorphisms. For example, any forcing that collapses cardinals may easily make formerly non-isomorphic models isomorphic. Certain model theoretic constraints on the theory and other constraints on the for...

Abstract Fluorescence microscopy based on fluorochrome has been rapidly developed as the candidate for morphological identification of pathogenic fungi over recent years, offering superior rapidity and efficacy traditional culture methods. However, intrinsic quenching properties fluorescein limit clinical application fluorescence imaging. Herein, we report a nano-strategy by converting commerci...

We study the evolution of probability density ensembles iterates logistic map that advance toward and finally remain at attractors representative dynamical regimes. consider mirror families superstable along period-doubling cascade chaotic-band inverse band-splitting cascade. examine also their common aperiodic accumulation point. The iteration time progress densities trajectories is determined...

A novel experimental set-up was used to study superstable (magic) Ba-C(60) and K-C(60) compound clusters. The most stable systems observed cannot be rationalized by simple electronic or by geometrical shell filling arguments. Annealing the clusters past the temperature necessary for the fragmentation of the initial metastable clusters formed at the source reveals information about their thermod...

The thermal stability of free pure C60-, as well as C60-alkali, and -alkaline-earth metal compound clusters is investigated. We find that small (C60)m-clusters (m<or=6) decay at comparatively low temperatures below 400 K, as a consequence of weak intermolecular van der Waals interaction. Adding barium or potassium to the clusters dramatically increases the decay temperatures for "magic" configu...