We study pseudo-simple heteroclinic cycles for a Γ-equivariant system in R4 withfinite Γ ⊂ O(4), and their nearby dynamics. In particular, in a first step towardsa full classification – analogous to that which exists already for the class of simplecycles – we identify all finite subgroups of O(4) admitting pseudo-simple cycles. Tothis end we introduce a constructive method t...

A facile synthetic strategy is developed to prepare mono-dispersed SnO2 particles within three-dimensional porous carbon frameworks by utilizing the adsorption properties of metal-organic frameworks. This composite exhibits a high reversible capacity of 900 mA h g(-1) at 100 mA g(-1) after 50 cycles, with a stable capacity retention of 880 mA h g(-1) at 100 mA g(-1) even after 200 cycles.

Hypomethylating drugs are useful in the management of Myelodysplastic syndromes, but there are only few reports on chronic myelomonocycitic (CMML) leukemia patients. We describe our experience in 3 CMML patients treated with azacitidine. Two patients obtained partial response after 4 treatment cycles with only minor toxicity and are in continuous partial response, with stable peripheral blood c...

We define the notion of mirror of a Calabi-Yau manifold with a stable bundle in the context of type II strings in terms of supersymmetric cycles on the mirror. This allows us to relate the variation of Hodge structure for cohomologies arising from the bundle to the counting of holomorphic maps of Riemann surfaces with boundary on the mirror side. Moreover it opens up the possibility of studying...

Slow-fast systems on the two-torus T 2 provide new effects not observed for systems on the plane. Namely, there exist families without auxiliary parameters that have attracting canard cycles for arbitrary small values of the time scaling parameter ε. In order to demonstrate the new effect, we have chosen a particularly simple family, namely ẋ = a − cosx − cos y, ẏ = ε, a ∈ (1, 2) being fixed. T...

We demonstrate that an irreducibly simple, uncontrolled, two-dimensional, two-link model, vaguely resembling human legs, can walk down a shallow slope, powered only by gravity. This model is the simplest special case of the passive-dynamic models pioneered by McGeer (1990a). It has two rigid massless legs hinged at the hip, a point-mass at the hip, and infinitesimal point-masses at the feet. Th...