Alexander V. Savin,1,2 Bambi Hu,3,4 and Yuri S. Kivshar1 1Nonlinear Physics Centre, Research School of Physical Sciences and Engineering, The Australian National University, Canberra, Australian Capital Territory 0200, Australia 2Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow 119991, Russia 3Department of Physics and Center for Nonlinear Studies, Hong Kong Baptist Un...

DRAGOMIR N. NESHEV∗, ANDREY A. SUKHORUKOV∗, WIESLAW KROLIKOWSKI† and YURI S. KIVSHAR∗,‡ ∗Nonlinear Physics Centre, Research School of Physical Sciences and Engineering, Centre for Ultra-high bandwidth Devices for Optical Systems (CUDOS), Australian National University, Canberra ACT 0200, Australia †Laser Physics Centre, Research School of Physical Sciences and Engineering, Centre for Ultra-high...

We discuss the following problem, which arises in software testing. Given some independent parameters (of a program to be tested), each having a certain nite set of possible values, we intend to test the program by running it several times. For each test, we give the parameters some (intelligently chosen) values. We want to ensure that for each pair of distinct parameters, every pair of possibl...

Acknowledgments Stephen Taylor, my advisor, whose guidance, comments and criticisms were pivotal in the completion of this work. Daniel Maskit and Rich Lethin for lengthy discussions on the subject, and answering my questions about the Multiflow compiler. Yevgeny Gurevich for providing the runtime system and tools essential for this project, and also for answering my questions and requests in a...

We introduce a new notion of a cluster of in nite two player games between players 0 and 1. This is an in nite collection of games whose game trees can be composed into a graph which is similar to a tree except that the graph might not have the initial node. For each node of the graph there is an ancesstor node. We call this graph the arena of the cluster. For a game cluster we introduce a noti...

This is the current version of an annotated bibliography of papers which deal with or use ASMs. It is compiled to a great extent from references and annotations provided by the authors of the listed papers and extends the annotated bibliography which previously appeared in [20]. Comments, additions and corrections are welcome and should be sent to [email protected] and [email protected] . Hartm...

The two–fluid effects on the radial outflow of relativistic electron–positron plasma are considered. It is shown that for large enough Michel (1969) magnetization parameter σ ≫ 1 and multiplication parameter λ = n/n GJ ≫ 1 one–fluid MHD approximation remains correct in the whole region |E| < |B|. In the case when the longitudinal electric current is smaller than the Goldreich–Julian one, the ac...

The Manin ring is a family of quadratic algebras describing pointed stable curves of genus zero whose homology gives the solution of the Commutativity Equations. This solution was first observed by the physicist Losev. We show the Manin ring is the Stanley–Reisner ring of the standard triangulation of the n-cube modulo a system of parameters. Thus, the Hilbert series of the Manin ring is given ...

I. I N T R O D U C T I O N Modern power grid:; are becoming more and more stressed with the load demands increasing rapidly. The voltage collapses which occurred recently have again drawn much attention to the issue of stability security margins in power systems [I]. The small signal stability margins are highly dependent upon such system factors as load flow feasibility boundaries, minimum and...