- View SourceHello all,
My name is Matthew Wolinsky, and I'm a 2nd year grad student
in geology at Duke University, U.S. I have good practical knowledge
of nonlinear dynamics and chaos, but am not much for lemmas or proofs
really. I study pattern formation in earth surface systems such as
river basin evolution, sand dune-fields, etc. Most work in my field
is computational/experimental/fieldwork rather than detailed theory,
due to the complexity and large space/time scales of the systems of
interest (geomorphic systems).
IMO studying complex natural systems in the framework of
nonlinear dynamics/chaos requires some philosophical caution. For
instance many researchers like to plot log-log and calculate scaling
exponents, but without any deeper scientific insight. For instance,
using digital elevation models, a fractal dimension or corellation
functions for topography can be calculated. However, fBm (fractional
brownian motion) can generate an infinite variety of topographic
surfaces which are un-natural looking, but have the same
scaling/correlation properties. These properties determine a Hurst
exponent (H), which determines a power spectrum, but the phase
spectrum is unconstrained by these aggregated metrics!
The issue of "universality" can be good in some cases, but if
many systems fall into the same universality class consistently (such
as all topography with H=0.4!), then the metric isn't very useful
scientifically. A metric should be able to distinguish different
processes or models which may have resulted in the current data. If
the metric is the same regardless of many different processes which
produce visibly different data, then a new metric is needed.
This was seen in the realization that classical (grasssberger
procaccia-style) nonlinear time-series analysis is impractical for
noisy, short times series of natural systems.
As for my research I am starting a project this summer on
submarine landslide dynamics. A summary of my research is at
If anyone has questions about my work or nonlinear dynamics in geology
I'll be happy to extrapolate.
I have many interests in nonlinear dynamics and "complex systems" and
hope to learn from this list.
- View SourceHi Friends
I am new to this group. Let me introduce myself
Name : S.Prajit Nair
Age : 28
Sex : Male
Nationality : India
Present Location : S.Korea
Qualification M.Tech (DSP)
Occupation : Asst. Manager , Samsung Techwin, S.Korea
I am interested in Chaotic Theory and would like to share my views and learn from the experiences of other members.
With Best Regards