Emergent statistical-mechanical structure in the dynamics along the period-doubling route to chaos

We consider both the dynamics within and towards the supercycle attractors along the period-doubling route to chaos to analyze the development of a statistical-mechanical structure. In this structure the partition function consists of the sum of the attractor position distances known as supercycle diameters and the associated thermodynamic potential measures the rate of approach of trajectories to the attractor. The configurational weights for finite $2^{N}$, and infinite $N \rightarrow \infty$, periods can be expressed as power laws or deformed exponentials. For finite period the structure is undeveloped in the sense that there is no true configurational degeneracy, but in the limit $N\rightarrow \infty$ this is realized together with the analog property of a Legendre transform linking entropies of two ensembles. We also study the partition functions for all $N$ and the action of the Central Limit Theorem via a binomial approximation.Comment: 11 pages, 3 figures. arXiv admin note: text overlap with arXiv:1312.071

Scaling of distributions of sums of positions for chaotic dynamics at band-splitting points

The stationary distributions of sums of positions of trajectories generated by the logistic map have been found to follow a basic renormalization group (RG) structure: a nontrivial fixed-point multi-scale distribution at the period-doubling onset of chaos and a Gaussian trivial fixed-point distribution for all chaotic attractors. Here we describe in detail the crossover distributions that can be generated at chaotic band-splitting points that mediate between the aforementioned fixed-point distributions. Self affinity in the chaotic region imprints scaling features to the crossover distributions along the sequence of band splitting points. The trajectories that give rise to these distributions are governed first by the sequential formation of phase-space gaps when, initially uniformly-distributed, sets of trajectories evolve towards the chaotic band attractors. Subsequently, the summation of positions of trajectories already within the chaotic bands closes those gaps. The possible shapes of the resultant distributions depend crucially on the disposal of sets of early positions in the sums and the stoppage of the number of terms retained in them

Hospital management staffing and training issues

Hospitals dominate health care in most parts of the world and for a variety of reasons are likely to continue being a key factor in the overall performance of the health care system. Any efforts to improve this performance must therefore give greater hospital efficiency the highest priority. After discussing key issues of managerial, clinical, and production efficiency, this paper suggests an agenda for the most useful areas of research.Health Monitoring&Evaluation,Pharmaceuticals&Pharmacoeconomics,Housing&Human Habitats,Environmental Economics&Policies,Health Systems Development&Reform

Method Development and Analysis for Pharmaceuticals and Personal Care Products in Surface Water

Pharmaceuticals and Personal Care Products (PPCP) in surface waters is a worldwide concern. Effluent from waste water treatment plants have tested positive for PPCP. Method development for a liquid chromatographic method was derived using columns with fused core technology. Analysis of spiked samples as direct injection and after solid phase extraction indicated detection of acetaminophen, caffeine, bisphenol-A and triclosan. Confirmation of acetaminophen, caffeine, bisphenol-A and triclosan was achieved using Agilent 1100 HPLC with Agilent MST Trap XCT. Solid phase extraction using Oasis HLB indicated reproducibility at 0.05ppm

PC RC Baja: Steering and Drivetrain

Students participating in the American Society of Mechanical Engineers (ASME) RC Baja competition are expected to work in teams of two to create an RC car from their own design to compete in a race and off-roading competition, as well as meeting the requirement of holding a top speed of at least 15mph. The students of team PC RC Baja used various methods to create the parts necessary for a functional RC car. Parts such as the gearbox and differential-box were 3D printed to incorporate their complex designs, and because they’re used as housing and not expected to withstand substantial load. Other parts such as the multiple drive shafts, shock towers, and chassis were machined from aluminum and steel, because they are expected to withstand substantial load and provide torque for the RC car. Finally, many parts were purchased for various reasons, such as the motor, servo, and motor controller and RC remote because of their complexity and importance. Other parts like the gears, shocks, and tires were purchased because the students simply didn’t have enough time to create these parts on time. The RC car is functional and ready for testing. The RC car has an 8:1 gear ratio and has a top speed of 30mph

Short Run Box Maker

Small businesses with short run product catalogs have trouble finding the right size box that will work for multiple products. In turn, this leads most businesses to use oversized boxes resulting in unnecessary shipping fees. The objective of this project was to develop and test a cost-effective prototype of a box making machine that could create a short run of custom sized boxes. A Co2 laser was found to be the best option for cutting cardboard and a vertically standing machine was designed to feed the cardboard via rollers. To control cardboard movement stepper motors were used and controlled using an Arduino Uno. A User Interface (UI) was developed using Excel VBA to communicate with the Arduino Uno and to pass on box size and type. The prototype proved to be effective in cutting cardboard patterns. Testing revealed the prototype could be twice as fast as manual cutting methods if an 80W laser tube or larger were used. The source code used to build this project serves as a good reference for future needs of accurate stepper motor movement and PC UI development

Relating high dimensional stochastic complex systems to low-dimensional intermittency

We evaluate the implication and outlook of an unanticipated simplification in the macroscopic behavior of two high-dimensional sto-chastic models: the Replicator Model with Mutations and the Tangled Nature Model (TaNa) of evolutionary ecology. This simplification consists of the apparent display of low-dimensional dynamics in the non-stationary intermittent time evolution of the model on a coarse-grained scale. Evolution on this time scale spans generations of individuals, rather than single reproduction, death or mutation events. While a local one-dimensional map close to a tangent bifurcation can be derived from a mean-field version of the TaNa model, a nonlinear dynamical model consisting of successive tangent bifurcations generates time evolution patterns resembling those of the full TaNa model. To advance the interpretation of this finding, here we consider parallel results on a game-theoretic version of the TaNa model that in discrete time yields a coupled map lattice. This in turn is represented, a la Langevin, by a one-dimensional nonlinear map. Among various kinds of behaviours we obtain intermittent evolution associated with tangent bifurcations. We discuss our results.Comment: arXiv admin note: text overlap with arXiv:1604.0024

Benefits of Integrating Physical Activities into the Elementary Classroom

There have been significant studies stating that physical activities have been eliminated for elementary school students. Today students are expected to attend school for approximately eight hours, five days out of the week. This senior capstone paper examines the many benefits of integrating physical activities into the elementary classroom through the use of literature review, anonymous-survey of twenty two students, and anonymous-survey of four teachers. This means that kinesthetic learning style has been limited for students at the elementary school level. The results indicate that integrating physical activities into the elementary classroom is proven to be beneficial to the overall physical well-being, mental health, and academic performance of students. Teachers who choose to advocate and promote the benefits of physical activities, will strongly increase the chances of students living a longer and healthier life