Ad hoc networks are spontaneously formed networks of devices such as PDAs and mobile phones that are connected through unreliable and slow wireless links. As the adoption into social situations of such devices increases, it is becoming increasingly desirable to support distributed applications over such networks. When dealing with unstable networks it is preferable to improve robustness by havi...

Nonequilibrium systems that are driven or drive themselves towards a critical point have been studied for almost three decades. Here we present a minimalist example of such a system, motivated by experiments on collapsing active elastic networks. Our model of an unstable elastic network exhibits a collapse towards a critical point from any macroscopically connected initial configuration. Taking...

Physical concepts developed to describe instabilities in traffic flows can be generalized in a way that allows one to understand the wellknown instability of supply chains (the so-called “bullwhip effect”). That is, small variations in the consumption rate can cause large variations in the production rate of companies generating the requested product. Interestingly, the resulting oscillations h...

X iv :0 70 9. 34 32 v2 [ nl in .C D ] 9 D ec 2 00 8 From Networks of Unstable Attra tors to Hetero lini Swit hing Christoph Kirst1−4 and Mar Timme1,2 1Network Dynami s Group, Max Plan k Institute for Dynami s and Self-Organization (MPIDS) and 2Bernstein Center for Computational Neuros ien e (BCCN) Göttingen, 37073 Göttingen, Germany 3Fakultät für Physik, Georg-August-Universität Göttingen, Germ...

Complex networks with expanding dimensions are studied, where the networks may be directed and weighted, and network nodes are varying in discrete time in the sense that some new nodes may be added and some old nodes may be removed from time to time. A model of such networks in computer data transmission is discussed. Each node on the network has fixed dimensionality, while the dimension of the...

We consider arbitrarily large networks of pulse-coupled oscillators with nonzero delay where the coupling is given by the Mirollo–Strogatz function. We prove that such systems have unstable attractors (saddle periodic orbits whose stable set has non-empty interior) in an open parameter region for three or more oscillators. The evolution operator of the system can be discontinuous and we propose...

Mobile ad hoc networks (MANET) are constructed by mobile nodes without access point. Since MANET has certain constraints, including power shortages, an unstable wireless environment and node mobility, more power-efficient and reliable routing protocols are needed. The OLSR protocol is an optimization of the classical link state algorithm. OLSR introduces an interesting concept, the multipoint r...

We present a distributed systems framework for sharing knowledge and capabilities in ad-hoc networks of devices where network bandwidth, network connectivity and device computing power are severely limited. We develop a distributed registry to store knowledge of device capabilities and their invocation, implement it and show how it can be deployed in a set of network nodes to exemplify its usef...

We question the need for extensible methodologies. Continuing with this rationale, the basic tenet of this solution is the development of randomized bipolaritys. To put this in perspective, consider the fact that foremost steganographers continuously use Scheme to fulfil this aim. We view networking as following a cycle of four phases: allowance, location, study, and observation. Therefore, our...

In this paper, a distributed extremum seeking control technique is proposed to solve a class of real-time optimization problems over a network of dynamic agents with unknown unstable dynamics. Each dynamic agent measures a cost that is shared over a network. A dynamic average consensus approach is used to provide each agent with an estimate of the total network cost. The extremum seeking contro...