Bifurcation structures and transient chaos in a four-dimensional Chua model

A four-dimensional four-parameter Chua model with cubic nonlinearity is studied applying numerical continuation and numerical solutions methods. Regarding numerical solution methods, its dynamics is characterized on Lyapunov and isoperiodic diagrams and regarding numerical continuation method, the bifurcation curves are obtained. Combining both methods the bifurcation structures of the model were obtained with the possibility to describe the {\it shrimp}-shaped domains and their endoskeletons. We study the effect of a parameter that controls the dimension of the system leading the model to present transient chaos with its corresponding basin of attraction being riddled.Comment: 9 figures, to appear in PL

Flag-Dipole Spinor Fields in ESK Gravities

We consider the Riemann-Cartan geometry as a basis for the Einstein-Sciama-Kibble theory coupled to spinor fields: we focus on $f(R)$ and conformal gravities, regarding the flag-dipole spinor fields, type-(4) spinor fields under the Lounesto classification. We study such theories in specific cases given for instance by cosmological scenarios: we find that in such background the Dirac equation admits solutions that are not Dirac spinor fields, but in fact the aforementioned flag-dipoles ones. These solutions are important from a theoretical perspective, as they evince that spinor fields are not necessarily determined by their dynamics, but also a discussion on their structural (algebraic) properties must be carried off. Furthermore, the phenomenological point of view is shown to be also relevant, since for isotropic Universes they circumvent the question whether spinor fields do undergo the Cosmological Principle.Comment: 18 pages, improved versio

Proton-Neutron Interaction near Closed Shells

Odd-odd nuclei around double shell closures are a direct source of information on the proton-neutron interaction between valence nucleons. We have performed shell-model calculations for doubly odd nuclei close to $^{208}$Pb, $^{132}$Sn and $^{100}$Sn using realistic effective interactions derived from the CD-Bonn nucleon-nucleon potential. The calculated results are compared with the available experimental data, attention being focused on particle-hole and particle-particle multiplets. While a good agreement is obtained for all the nuclei considered, a detailed analysis of the matrix elements of the effective interaction shows that a stronger core-polarization contribution seems to be needed in the particle-particle case.Comment: 8 pages, 6 figures, Proccedings of the International Conference "Nuclear Structure and Related Topics", Dubna, Russia, September 2-6, 2003, to be published in Yadernaia Fizika (Physics of Atomic Nuclei

A Blow-Up Criterion for Classical Solutions to the Compressible Navier-Stokes Equations

In this paper, we obtain a blow up criterion for classical solutions to the 3-D compressible Naiver-Stokes equations just in terms of the gradient of the velocity, similar to the Beal-Kato-Majda criterion for the ideal incompressible flow. In addition, initial vacuum is allowed in our case.Comment: 25 page

Pain interference, gambling problem severity, and psychiatric disorders among a nationally representative sample of adults

Background and aims: A paucity of studies has examined the association between gambling and pain interference. We examined differences in the associations of gambling problem severity and psychiatric disorders among a nationally representative sample of adults with varying levels of pain interference. Methods: Chi-square tests and logistic regression analyses were performed on National Epidemiologic Survey on Alcohol and Related Conditions data from 41,987 adult respondents (48% men; 52% women), who were categorized according to two levels of pain interference (i.e., no or low pain interference [NLPI] or moderate or severe pain interference [MSPI]) and three levels of gambling problem severity (i.e., non-gamblers or low-frequency gamblers [NG], low-risk or at-risk gamblers [LRG], and problem or pathological gamblers [PPG]). Results: MSPI respondents exhibited higher rates of PPG than NLPI respondents. Categories of Axis I disorders and clusters of mood, anxiety and substance-use disorders showed similarly strong associations with problem-gambling severity in MSPI and NLPI groups. Similarly strong associations between Axis II disorders (and each cluster — A, B and C) and problem-gambling severity were also observed in MSPI and NLPI groups. Exploratory analyses suggested potentially stronger relationships between PPG and dysthymia, panic disorder, and dependent personality disorder and LRG and specific phobia in NLPI compared to MSPI respondents. Discussion and conclusions: While MSPI is associated with PPG, largely similar patterns of associations across pain-interference levels were observed between problem-gambling severity and Axis I and Axis II psychiatric disorders

Quality control in neurosurgery training

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/42455/1/31450241.pd

Diffusion MRI in early cancer therapeutic response assessment

Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/136261/1/nbm3458_am.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/136261/2/nbm3458.pd

Carbon-grain sublimation: a new top-down component of protostellar chemistry

Earth's carbon deficit has been an outstanding problem in our understanding of the formation of our Solar System. A possible solution would be the sublimation of carbon grains at the so-called soot line (~300 K) early in the planet-formation process. Here, we argue that the most likely signatures of this process are an excess of hydrocarbons and nitriles inside the soot line, and a higher excitation temperature for these molecules compared to oxygen-bearing complex organics that desorb around the water snowline (~100 K). Such characteristics have been reported in the literature, for example, in Orion KL, although not uniformly, potentially due to differences in observational settings and analysis methods of different studies or related to the episodic nature of protostellar accretion. If this process is active, this would mean that there is a heretofore unknown component to the carbon chemistry during the protostellar phase that is acting from the top down - starting from the destruction of larger species - instead of from the bottom up from atoms. In the presence of such a top-down component, the origin of organic molecules needs to be re-explored.Comment: Accepted for publication in ApJL. 14 pages, 2 figures, 1 table (4 pages