From First Lyapunov Coefficients to Maximal Canards

Hopf bifurcations in fast-slow systems of ordinary differential equations can be associated with surprising rapid growth of periodic orbits. This process is referred to as canard explosion. The key step in locating a canard explosion is to calculate the location of a special trajectory, called a maximal canard, in parameter space. A first-order asymptotic expansion of this location was found by Krupa and Szmolyan in the framework of a "canard point"-normal-form for systems with one fast and one slow variable. We show how to compute the coefficient in this expansion using the first Lyapunov coefficient at the Hopf bifurcation thereby avoiding use of this normal form. Our results connect the theory of canard explosions with existing numerical software, enabling easier calculations of where canard explosions occur.Comment: preprint version - for final version see journal referenc

First measurement of interference fragmentation on a transversely polarized hydrogen target

The HERMES experiment has measured for the first time single target-spin asymmetries in semi-inclusive two-pion production using a transversely polarized hydrogen target. These asymmetries are related to the product of two unknowns, the transversity distribution function and the interference fragmentation function. In the invariant mass range 0.51 GeV < M_inv < 0.97 GeV the measured asymmetry deviates significantly from zero, indicating that two-pion semi-inclusive deep-inelastic scattering can be used to probe transversity.Comment: 6 pages, 6 figures, contribution to the proceedings of the International Workshop on Transverse Polarisation Phenomena in Hard Processes (Transversity 2005), Como, Italy, Sep 7 - 10, 200

A relativistic framework to determine the nuclear transparency from A(p,2p) reactions

A relativistic framework for computing the nuclear transparency extracted from A(p,2p) scattering processes is presented. The model accounts for the initial- and final-state interactions (IFSI) within the relativistic multiple-scattering Glauber approximation (RMSGA). For the description of color transparency, two existing models are used. The nuclear filtering mechanism is implemented as a possible explanation for the oscillatory energy dependence of the transparency. Results are presented for the target nuclei 7Li, 12C, 27Al, and 63Cu. An approximated, computationally less intensive version of the RMSGA framework is found to be sufficiently accurate for the calculation of the nuclear transparency. After including the nuclear filtering and color transparency mechanisms, our calculations are in acceptable agreement with the data.Comment: 17 pages, 4 figures, accepted for publication in Phys. Lett.

Inter-temporal and Spatial Price Dispersion Patterns and the Well-Being of Maize Producers in Southern Tanzania

We revisit a methodology to gauge the short-term effect of price changes on smallholder farmer's welfare that is popular amongst policy makers and academia. Realising that farmers face substantial seasonal price volatility over the course of an agricultural year, we pay particular attention to the timing of sales and purchases. In addition we depart from the implicit assumption that all farmers scattered across rural areas face the same prices when interacting with markets. Using maize marketing during the 2007–2008 agricultural season in a sample of smallholders in Tanzania as an illustration, we find that especially poor farmers face greater losses than what a standard analysis would suggest. We also relate our methodology to factors that are likely to affect potential benefits or costs from inter-temporal and spatial price dispersion, such as means of transport, access to price information and credit