Large sparse circuits of spiking neurons exhibit a balanced state of highly irregular activity under a wide range of conditions. It occurs likewise in sparsely connected random networks that receive excitatory external inputs and recurrent inhibition as well as in networks with mixed recurrent inhibition and excitation. Here we analytically investigate this irregular dynamics in finite networks...

Sensor localization obtained by estimating node positions is an essential technique for wireless sensor networks. Anchorfree localization (AFL) can estimate node positions without anchor nodes. However AFL does not work in an irregular networks. In this paper, we present an optimized link state routing (OLSR) -based localization (ROULA) that achieves desirable performance in dense irregular sen...

We discuss transport on load bearing branching hierarchical networks which can model diverse systems which can serve as models of river networks, computer networks, respiratory networks and granular media. We study avalanche transmissions and directed percolation on these networks, and on the V lattice, i.e., the strongest realization of the lattice. We find that typical realizations of the lat...

Interconnection networks are constructed to provide inter-process communication. These Networks are compared on the basis of Fault tolerance, Reliability, Path length and cost effectiveness. An irregular class of Fault Tolerant Multistage Interconnection Network (MIN) called Modified Four Double Tree Network-2 (MFDOT-2) is proposed.MFDOT-2 is constructed on the basis of FDOT-2 [1]. The Reliabil...

We study a coupled map lattice model with two states: a simple xed point and spatio-temporal chaos. Preparing properly initial conditions, we investigate the dynamics of the interface between order and chaos. In the one-dimensional lattice regimes of irregular and regular front propagation behavior are observed and analyzed by introducing a local front map and a front Lyapunov exponent. Corresp...

The language of differential forms and topological concepts are applied to study classical electromagnetic theory on a lattice. It is shown that differential forms and their discrete counterparts ~cochains! provide a natural bridge between the continuum and the lattice versions of the theory, allowing for a natural factorization of the field equations into topological field equations ~i.e., inv...

This paper addresses the synthesis of near-regular textures, i.e. textures that consist of a regular global structure plus subtle yet very characteristic stochastic irregularities. Such textures are difficult to synthesize due to the complementary characteristics of these structures. In this paper, we propose a method which we call Random Sampling and Gap Filling (RSGF) to synthesize near-regul...