The Center for Modelling, Nonlinear Dynamics and Irreversible Thermodynamics (MIDIT) at the Technical University of Denmark (DTU), the Department of Optics and Fluid Dynamics (OFD) at Risø National Laboratory (Risø), and the Center of Chaos and Turbulence Studies (CATS) at Copenhagen University (KU) conduct a Graduate School in Nonlinear Science. In collaboration with industry, this school provides a Danish Ph.D. program at the highest international level with the aim of preparing students to apply recent advances in Nonlinear Science to outstanding problems of science and technology and to strengthen international exchange of Ph.D. students. Over the past three decades, science has experienced a revolutionary shift in its fundamental paradigms. Primarily based on linear models through the 1960s, scientific research is now commonly motivated by nonlinear concepts, in which the whole is more than the sum of its parts, and the emergence of qualitatively new phenomena is anticipated and made welcome. The basic theme of modern Nonlinear Science is the interplay between chaos and coherent structures. Formerly deemed unworthy of the attention of a serious scientist, low order systems of nonlinear ordinary differential equations are now known to exhibit explosive behavior, leading to the emergence of strange attractors upon which phase space trajectories wander aimlessly until the end of time. Largely ignored as being far too difficult to solve analytically, nonlinear partial differential equations have been found to generate the emergence of solitary waves, which interact as new dynamic entities at higher levels of description. These new paradigms lead to significant advances in our understanding of a number of observed phenomena in physics, chemistry, and biology. From the theory, methods for constructive applications in the engineering sciences have been developed, using computer technology.
|Period||01/01/00 → 01/01/02|