Effective control of complex turbulent dynamical systems through statistical functionals
Abstract
Turbulent dynamical systems characterized by both a high-dimensional phase space and a large number of instabilities are ubiquitous among complex systems in science and engineering, including climate, material, and neural science. Control of these complex systems is a grand challenge, for example, in mitigating the effects of climate change or safe design of technology with fully developed shear turbulence. In complex turbulent dynamical systems, it is impossible to track and control the large dimension of instabilities, which strongly interact and exchange energy, and new control strategies are needed. The goal here is to propose an effective statistical control strategy for complex turbulent dynamical systems based on a recent statistical energy principle and statistical linear response theory.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- May 15, 2017
- Source ID
- 10.1073/pnas.1704013114
Entities
People
- Andrew J. Majda
- Di Qi
Organizations
- New York University
- Office of Naval Research