Experiments in the dynamic fracture of brittle polyacrylamide gels show that a single-crack state undergoes a hysteretic transition to the microbranching instability with a characteristic activation time. Quantitative measurements also indicate that features such as crack front inertia, self-focusing of microbranches, and the appearance of front waves are universal attributes of dynamic fracture.

This paper first discusses the adaptive control for the hysteresis described by PrandtlIshlinskii model. Then, the adaptive control for the continuous-time linear dynamical systems preceded with hysteresis described by Prandtl-Ishlinskii model is considered. The relative degree and the upper bound of the order of the linear dynamical system are assumed to be known. The contribution of the paper...

Bistable spin-state switching near room temperature: Two mononuclear iron(II) complexes showing technologically relevant abrupt and wide hysteretic, bistable characteristics in the vicinity of temperature are reported. The large structural reorganizations from Jahn–Teller-distorted high-spin state to less distorted low-spin ethyl group conformational proposed as main contributing factors render...

The cell-division cycle and apoptosis are key cellular processes deregulated during carcinogenesis. Recent work of Aguda and Algar suggests a modular organization of regulatory molecular pathways linking the cellular processes of division and apoptosis. We carry out a detailed mathematical analysis of the Aguda-Algar model to unravel the dynamics implicit in the model structure. In addition, we...

It has long been noted that batch cultures inoculated with resting bacteria exhibit a progression of growth phases traditionally labeled lag, exponential, pre-stationary and stationary. However, a detailed molecular description of the mechanisms controlling the transitions between these phases is lacking. A core circuit, formed by a subset of regulatory interactions involving five global transc...