The role of nonlinearity in complexity science is discussed, and some nonlinear research problems in Complexity Science are sketched in the contexts of the buzzwords “emergence, interacting agents and swarms”.

IEEE SIGNAL PROCESSING MAGAZINE [46] MARCh 2014 1053-5888/14/$31.00©2014IEEE T he world is connected by a core network of longhaul optical communication systems that link countries and continents, enabling long-distance phone calls, data-center communications, and the Internet. The demands on information rates have been constantly driven up by applications such as online gaming, highdefinition ...

We modify the commonly used invasibility concept for coexistence of species to the stronger concept of uniform invasibility. For two-species discrete-time competition and predator-prey models, we use this concept to find broad easily checked sufficient conditions for the rigorous concept of permanent coexistence. With these results, permanent coexistence becomes a tractable concept for many dis...

linear control system, 51-67Cauchy problem, 52-54controllability, 55-62Korteweg-de Vries equation, 65—67transport equation, 62-65adjoint operator, 373a d ^ y (definition), 130admissibility condition, 52, see also regularity propertyapproximate controllability, 55, 57, 61Ascoli's theorem, 152, 170attractor, 280averaging, 332-333 backstepping, 334-337, ...

In seismic experiments, waves that bounce back and forth between layers are called multiple reflections. Since these waves interact repeatedly with the heterogeneities in the earth, the relation between the multiple reflections and the earth structure is nonlinear. Present-day seismic processing is geared toward suppressing these multiples rather than extracting the information that is containe...

L. G. Villanueva,1,2 R. B. Karabalin,1 M. H. Matheny,1 D. Chi,1 J. E. Sader,1,3 and M. L. Roukes1 1Kavli Nanoscience Institute and Departments of Physics, Applied Physics, and Bioengineering, California Institute of Technology, Pasadena, California 91125, USA 2Department of Microand Nanotechnology, Technical University of Denmark, DK-2800 Kongens Lyngby, Denmark 3Department of Mathematics and S...

Cryptographic applications, such as hashing, block ciphers and stream ciphers, make use of functions which are simple by some criteria (such as circuit implementations), yet hard to invert almost everywhere. A necessary condition for the latter property is to be “sufficiently distant” from linear, and cryptographers have proposed several measures for this distance. In this paper, we show that f...

In this paper nonlinear analysis of structures are performed considering material and geometric nonlinearity using force method and energy concepts. For this purpose, the complementary energy of the structure is minimized using ant colony algorithms. Considering the energy term next to the weight of the structure, optimal design of structures is performed. The first part of this paper contains ...

The second–order nonlinearity, and the best quadratic approximations, of Boolean functions are studied in this paper. We prove that cubic functions within the Maiorana–McFarland class achieve very high second order nonlinearity, which is close to an upper bound that was recently proved by Carlet et al., and much higher than the second order nonlinearity obtained by other known constructions. Th...