Theories describing the existence, destruction and ultimate fate of invariant tori for Hamiltonian systems of 11/2 or 2 degrees of freedom (or equivalently area preserving mappings) are well established. Similar results for higher dimensional Hamiltonian systems have proved elusive. We discuss several techniques for studying the existence and break-up of invariant tori for 21/2 degrees of freed...

Since Shannon derived the seminal formula for the capacity of the additive linear white Gaussian noise channel, it has commonly been interpreted as the ultimate limit of error-free information transmission rate. However, the capacity above the corresponding linear channel limit can be achieved when noise is suppressed using nonlinear elements; that is, the regenerative function not available in...

A multi-objective optimization method for the structural design of horizontal-axis wind turbine (HAWT) blades is presented. The main goal is to minimize the weight and cost of the blade which uses glass fiber reinforced plastic (GFRP) coupled with carbon fiber reinforced plastic (CFRP) materials. The number and the location of layers in the spar cap, the width of the spar cap and the position o...

Microscopic speed limits that constrain the motion of matter, energy, and information abound in physics, from "ultimate" limit set by light to Lieb-Robinson quantum spin systems. In addition these state-independent limits, systems can also be governed emergent state-dependent indicating slow dynamics arising, for example, low-energy quasiparticles. Here we describe a different kind limit: situa...