Title: Unsolicited proposals to the Dynamical Systems program in
the Division of Civil, Mechanical and Manufacturing Innovation
(ENG) and the Applied Mathematics program in the Division of
Mathematical Sciences (MPS) addressing crosscutting topics in
theory and application of dynamical systems
Date: 09/26/08
Subject: Unsolicited proposals to the Dynamical Systems program in
the Division of Civil, Mechanical and Manufacturing Innovation
(ENG) and the Applied Mathematics program in the Division of
Mathematical Sciences (MPS) addressing crosscutting topics in
theory and application of dynamical systems
Dear Colleague:
The field of dynamical systems is one of the fundamental research
areas that has enabled advances in many fields of science and
engineering. Recent “research needs” workshops, panel
discussions at professional meetings and research trends have
pointed at several specific topics that merit further attention by
the dynamical systems research community. Significant potential
advances can be expected by new interdisciplinary research
addressing application areas in science and engineering.
The Dynamical Systems program in the Division of Civil, Mechanical
and Manufacturing Innovation (CMMI) in the Directorate of
Engineering (ENG) and the Applied Mathematics program in the
Division of Mathematical Sciences (DMS) of the Directorate for
Mathematical and Physical Sciences (MPS) of the National Science
Foundation (NSF) recognize the opportunities posed by a closer
collaboration by the two programs in the field of dynamical
systems. They encourage the submission of unsolicited research
proposals to the CMMI Dynamical Systems program and the DMS Applied
Mathematics program addressing cross-cutting topics in one or more
aspects of the following special topics:
* Fundamentals of complex systems. The hallmark of a complex
system is its potential to adapt, self-organize, and support
emergent behavior. Decomposing a complex system and analyzing
its component parts may not necessarily give a clue to the
behavior of the system as a whole. What can dynamical
systems research contribute to our understanding of complex
systems in nature or to the design of complex engineered
systems?
* Model reduction. The fundamental laws of nature (conservation
laws, Newton’s law, etc.) provide the logical framework for
mathematical models of physical phenomena. When the phenomena
are complicated, a compromise must be found between
completeness and simplicity, and some form of aggregation must
be applied. What can dynamical systems research contribute to
model reduction methods that preserve the characteristic
features of the phenomena being modeled, especially those that
are “large-scale” or nonlinear, yet are amenable to
analysis and design?
* Long-term behavior. In his studies of weather and climate,
Lorentz identified the existence of a strange attractor as a
fundamental limiting factor for our ability to make long-term
forecasts. What can dynamical systems research contribute to
the accurate numerical simulation of large-scale nonlinear
systems (such as the Earth’s climate) possibly beyond the
limits imposed by a strange attractor?
* Infinite-dimensional systems. Most research in dynamical
systems has been concerned so far with finite-dimensional
systems (ordinary differential equations). However, many
phenomena in science and engineering are modeled as
infinite-dimensional systems (partial differential equations,
or “abstract” differential equations in function spaces).
What can dynamical systems research contribute to our
understanding and design of the dynamics of
infinite-dimensional systems?
* Discrete dynamical systems. Large networks are ubiquitous in
science and engineering (supply chains, biological networks,
chemical pathways, the Internet, control systems, numerical
methods, etc.). What can dynamical systems research contribute
to a unified approach to discrete dynamical systems and, in
particular, to our understanding of the interplay between
structure and dynamics of such systems?
* Uncertainty. A mathematical model of an evolving physical
system must account for some degree of uncertainty; either the
data are uncertain or incomplete, or there is uncertainty in
the model because initial or boundary conditions cannot be
specified exactly, or the model is one of an ensemble of
multiscale models. What can dynamical systems research
contribute to the estimation of uncertainty in nonlinear
stochastic dynamical systems?
Proposals addressing any of the above special topics can be
submitted to either the CMMI Dynamical Systems program or the DMS
Applied Mathematics program for joint consideration. Such proposals
will be managed by a team consisting of program directors in CMMI
and DMS.
Proposals should be commensurate with levels of effort typical in
unsolicited proposals entertained by these programs. PIs are
encouraged to contact the appropriate program director to discuss
the research idea and research effort prior to submitting the
proposal. Proposals with levels of effort that are typical for
Focused Research Groups (FRG) activities in DMS are not appropriate
for this focused topic area and should be submitted to the next
round of the FRG competition.
Proposals must be submitted in accordance with the deadline and
proposal window specified for unsolicited proposals for
CMMI/Dynamical Systems and DMS/Applied Mathematics, respectively;
see the NSF web site
http://www.nsf.gov/funding/pgm_summ.jsp?pims_id=13574&org=CMMI and
http://www.nsf.gov/funding/pgm_summ.jsp?pims_id=5664&org=DMS. They
must be identified by the words “DynSyst_Special_Topics:” at
the beginning of the proposal title.
Primary Contacts:
Dr. Hans G. Kaper, Applied Mathematics Program, Division of
Mathematical Sciences, Directorate for Mathematical and Physical
Sciences, 703-292-4859, hkaper@nsf.gov
Dr. Eduardo A. Misawa, Dynamical Systems Program, Division of
Civil, Mechanical, Manufacturing and Innovation, Directorate of
Engineering, 703-292-5353, emisawa@nsf.gov
Sincerely,
Dr. Adnan Akay
Division Director
Division of Civil, Mechanical
Manufacturing and Innovation
ENG
Dr. Peter March
Division Director
Division of Mathematical Sciences
MPS