Simulating pitch angle scattering using an explicitly solvable energy-conserving algorithm

Random string: an explicitly solvable model

We calculate exactly the Lyapunov exponent and the integrated density of states for the random string operator whose density and elastic compliance are functions of a binary Markov chain. For all values of interest short and long wave asymptotic expansions are obtained. Finally we discuss conditions of propagation and localization of waves in a binary random medium.

An Energy Conserving Routing Algorithm for Wireless Sensor Networks

Wireless sensor networks (WSN) technologies are widely used in today’s world for monitoring purposes. In most applications, the sensors are not plugged in. Instead, they get power from the batteries they carry. To keep the network alive for a long time with such limited power, it is very important to conserve energy while the network is functioning. In this paper, we present an energy efficient...

Type-2 fuzzy logic based pitch angle controller for fixed speed wind energy system

In this paper, an interval Type-2 fuzzy logic based pitch angle controller is proposed for fixed speed wind energy system (WES) to maintain the aerodynamic power at its rated value. The pitch angle reference is generated by the proposed controller which can compensate the non-linear characteristics of the pitch angle to the wind speed. The presence of third dimension in the Type-2 fuzzy logic c...

Pitch angle scattering of an energetic magnetized particle by a circularly polarized electromagnetic wave

Explicitly solvable cases of one-dimensional quantum chaos.

We identify a set of quantum graphs with unique and precisely defined spectral properties called regular quantum graphs. Although chaotic in their classical limit with positive topological entropy, regular quantum graphs are explicitly solvable. The proof is constructive: we present exact, convergent periodic orbit expansions for individual energy levels, thus obtaining an analytical solution f...