This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rössler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known.
Discontinuous Galerkin Methods: Theory, Compuration and Applications
This volume contains current progress of a new class of finite element method, the Discontinuous Galerkin Method (DGM), which has been under rapid developments recently and has found its use very quickly in such diverse applications as aeroacoustics, semi-conductor device simulation, turbomachinery, turbulent flows, materials processing, Magneto-hydro-dynamics, plasma simulations and image processing.
IUTAM Symposium on Unsteady Separated Flows and their Control
Unsteady separated flows are an important topic in theoretical and applied mechanics. The IUTAM Symposium held in Corfu in 2007 (and following on from a previous meeting in Toulouse in 2002) aimed at achieving a unified approach which will regroup the knowledge coming from theoretical, experimental, numerical simulation, modeling and flow-control aspects of separated unsteady flows with respect to incompressible and compressible flow regimes.
In Magnets, inhabitants of Mammoth Island discover the power of an invisible force called magnetism when a sudden lightning bolt transforms their “clothes dryer” -- a contraption made of wire wound into a coil around an iron bar. When an electric current flows through the wire, the current creates a magnetic field around it. The iron bar in the middle helps to concentrate the field, and because of the high number of turns in the coil, a very strong magnetic field is created. When the current flows, the bar develops opposite poles at either end, which attract iron and steel objects. The inhabitants of Mammoth Island learn that opposites really do attract as they explore the many ways in which magnets can be used!