We consider front solutions of the Swift-Hohenberg equation ∂ t u = −(1 + ∂ x ) 2 u + ε 2 u − u . These are traveling waves which leave in their wake a periodic pattern in the laboratory frame. Using renormalization techniques and a decomposition into Bloch waves, we show the non-linear stability of these solutions. It turns out that this problem is closely related to the question of stability ...

Structured peer-to-peer (p2p) networks are highly distributed systems with a potential to support business applications. There are numerous different suggestions on how to implement such systems. However, before legal p2p systems can become mainstream they need to offer improved efficiency, robustness, and stability. While Chord is the most researched and best understood mechanism, the Kademlia...

We analyze the Iterated Prisoner’s Dilemma and the performance of GRADUAL, the best behavior found so far. This behavior has the undesirable property of permanent memory, which would be detrimental for stability. As a solution to the permanent memory problem, we propose an adaptive tit-for-tat behavior that uses a self-regulated estimate of the opponent’s friendliness. On a second level, we dem...

Self-deception entails apparent conceptual paradoxes and poses the dilemma between two competing needs: the need for stability of the self-concept, on the one hand, and the need to accept reality, on the other. It is argued, first, that conceptual difficulties can be avoided by distinguishing two levels of explanation. Whereas, in a personal language, "the person" deceives him- or her-self, a c...

The adaptive-subspace self-organizing map (ASSOM) proposed by Kohonen is a recent development in self-organizing map (SOM) computation. In this paper, we propose a method to realize ASSOM using a neural learning algorithm in nonlinear autoencoder networks. Our method has the advantage of numerical stability. We have applied our ASSOM model to build a modular classification system for handwritte...

In this work, we study the orbital stability of steady states and the existence of blow-up self-similar solutions to the so-called Vlasov-Manev (VM) system. This system is a kinetic model which has a similar Vlasov structure as the classical Vlasov-Poisson system, but is coupled to a potential in −1/r−1/r (Manev potential) instead of the usual gravitational potential in −1/r, and in particular ...

I argue that certain species of belief, such as mathematical, logical, and normative beliefs, are insulated from a form of Harmanstyle debunking argument whereas moral beliefs, the primary target of such arguments, are not. Harman-style arguments have been misunderstood as attempts to directly undermine our moral beliefs. They are rather best given as burden-shifting arguments, concluding that ...

We have investigated the supramolecular structure of helical ribbons formed during self-assembly of a b-sheet peptide using computer simulation. We tested a wide range of molecular packing geometries consistent with the experimental dimensions to identify the most stable structure, and then systematically changed the helical geometry to investigate its energy landscape. The effect of pH was inc...