Moment instabilities in multidimensional systems with noise

We present a systematic study of moment evolution in multidimensional stochastic difference systems, focusing on characterizing systems whose low-order moments diverge in the neighborhood of a stable fixed point. We consider systems with a simple, dominant eigenvalue and stationary, white noise. When the noise is small, we obtain general expressions for the approximate asymptotic distribution and moment Lyapunov exponents. In the case of larger noise, the second moment is calculated using a different approach, which gives an exact result for some types of noise. We analyze the dependence of the moments on the system's dimension, relevant system properties, the form of the noise, and the magnitude of the noise. We determine a critical value for noise strength, as a function of the unperturbed system's convergence rate, above which the second moment diverges and large fluctuations are likely. Analytical results are validated by numerical simulations. We show that our results cannot be extended to the continuous time limit except in certain special cases.Comment: 21 pages, 15 figure

On the Dynamics of the Spontaneous Activity in Neuronal Networks

Most neuronal networks, even in the absence of external stimuli, produce spontaneous bursts of spikes separated by periods of reduced activity. The origin and functional role of these neuronal events are still unclear. The present work shows that the spontaneous activity of two very different networks, intact leech ganglia and dissociated cultures of rat hippocampal neurons, share several features. Indeed, in both networks: i) the inter-spike intervals distribution of the spontaneous firing of single neurons is either regular or periodic or bursting, with the fraction of bursting neurons depending on the network activity; ii) bursts of spontaneous spikes have the same broad distributions of size and duration; iii) the degree of correlated activity increases with the bin width, and the power spectrum of the network firing rate has a 1/f behavior at low frequencies, indicating the existence of long-range temporal correlations; iv) the activity of excitatory synaptic pathways mediated by NMDA receptors is necessary for the onset of the long-range correlations and for the presence of large bursts; v) blockage of inhibitory synaptic pathways mediated by GABA(A) receptors causes instead an increase in the correlation among neurons and leads to a burst distribution composed only of very small and very large bursts. These results suggest that the spontaneous electrical activity in neuronal networks with different architectures and functions can have very similar properties and common dynamics

Relating the Chondrocyte Gene Network to Growth Plate Morphology: From Genes to Phenotype

During endochondral ossification, chondrocyte growth and differentiation is controlled by many local signalling pathways. Due to crosstalks and feedback mechanisms, these interwoven pathways display a network like structure. In this study, a large-scale literature based logical model of the growth plate network was developed. The network is able to capture the different states (resting, proliferating and hypertrophic) that chondrocytes go through as they progress within the growth plate. In a first corroboration step, the effect of mutations in various signalling pathways of the growth plate network was investigated

Prediction of chaos in a Josephson junction by the Melnikov-function technique

The Melnikov function for prediction of Smale horseshoe chaos is applied to the rf-driven Josephson junction. Linear and quadratic damping resistors are considered. In the latter case the analytic solution including damping and dc bias is used to obtain an improved threshold curve for the onset of chaos. The prediction is compared to new computational solutions. The Melnikov technique provides a good, but slightly low, estimate of the chaos threshold

The Introduction of the Euro and its Effects on Investment Decisions

In this paper we examine changes on investment decisions induced by the introduction of the Euro. There are two potential sources of portfolio reallocation. First, the introduction of the Euro diminished exchange rate risks within the EMU region, which relieved European investors from currency risk associated with intra-EMU investments. Second, monetary policy has been bundled within one single institution, which increased the correlation of different national stock and bond market returns. We test for structural breaks in the portfolio holdings of German investors and estimate a market model in the latter in order to account for the two described effects. We observe a significant decrease in national and an significant increase in intra-EMU as well as US investments. Therefore, the establishment of the EMU led to a decrease of investment home bias

Workplace bullying in academia: A Canadian study

This paper examines the results of a workplace bully survey sent to faculty, instructors and librarians at a mid-sized Canadian university in 2005. The potential sources of workplace bullying by colleagues, administrators and students are examined. The survey determined that workplace bullying is of particular concern for employees that are newly hired or untenured. The systemic nature of this phenomenon and the spillover effect from one job domain to another are identified. The findings indicate costs for the university linked to workplace bullying. Costs include increased employee turnover, changed perception of the university by employees and reduced employee engagement