Graduate School in Nonlinear Science

  • Christiansen, Peter Leth (Project Manager)
  • Bohr, Tomas (Project Participant)

Project Details

Description

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.
StatusFinished
Effective start/end date01/01/200001/01/2002