EXPLOSION POINTS IN SKEW MAPS Anne Stefanie Costolanski, MS George Mason University, 2007 Thesis Director: Dr. Evelyn Sander This paper describes various chaotic behavior present in skew maps. Some aspects common in the study of dynamical systems are explored: the existence of homoclinic orbits, the behavior of manifolds, chaotic attractors, and period doubling cascades; and for each, the simil...

This paper describes the effects of igneous intrusions on pore structure and adsorption capacity of the Permian coals in the Huaibei Coalfield, China. Twelve coal samples were obtained at different distances from a ~120 m extremely thick sill. Comparisons were made between unaltered and heat-affected coals using geochemical data, pore-fracture characteristics, and adsorption properties. Thermal...

A new simple model for the puffing and micro-explosion of composite multi-component water/liquid fuel droplets is suggested. This based on assumption that a spherical water sub-droplet located in centre droplet. The effects droplet thermal swelling are considered; Abramzon Sirignano applied analysis heating evaporation. It assumed puffing/micro-explosion starts when temperature at interface bec...

ABSTRACT We calculate the lightcurves of jet-driven bipolar core collapse supernova (CCSN) explosions into a circumstellar matter (CSM) and show that an equatorial observer finds to possess rapid, even abrupt drop. The scenario might lead such explosive morphology is common envelope evolution (CEE), where shortly before CCSN explosion red-supergiant progenitor interacts with more compact compan...

The masses and the evolutionary states of the progenitors of core-collapse supernovae are not well constrained by direct observations. Stellar evolution theory generally predicts that massive stars with initial masses less than about 30M should undergo core-collapse when they are cool M-type supergiants. However the only two detections of a SN progenitor before explosion are SN1987A and SN1993J...

The recent discovery of the unusual supernova SN 1998bw and its apparent correlation with the γ-ray burst GRB 980425 has raised new issues concerning both γ-ray bursts and supernovae. Although the spectra of SN 1998bw resemble those of Type Ic supernovae (SN Ic), there are distinct differences. At early times the expansion velocities inferred by the Doppler shift of (unidentified) absorption fe...

We propose a relaxed notion of shadowing. In particular, for homeomorphism f on metric space, we ask whether every approximate orbit is near some actual nearby system. distinguish the cases where close or arbitrarily to f. prove relations between these notions and ordinary shadowing present various examples. finally discuss an application, $$C^0$$ -closing lemma chain recurrent points topologic...