ANUPhysicsSS2008LectureNotes

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Contents

Discussion page for authors of the Summer School Proceedings volume

Summer school Menu

(to be published in the series World Scientific Lecture Notes in Complex Systems)

Contributors to this page so far: Bob Dewar, Mike Wheatland

This page is supplementary to the Publication of Proceedings page http://wwwrsphysse.anu.edu.au/ccs/SUMMERSCHOOLS/SS22/proceedings.shtml .

It has been added to help implement Ian Enting's suggestion that we should aim to integrate the different chapters by referring to some common themes and by using a common set of indexing terms (in addition to ones appropriate only to your chapter).

You, as a contributor to the Proceedings, are encouraged to help develop this common vocabulary by using the Wiki edit tab at the top of the page (see Help:Editing).

Themes

(adapted from Tomaso Aste's Introduction to Complex Systems lecture)

Complex systems

exhibit emergence 
some properties present at system level are not present at lower level — e.g. a cell is alive but is made of inanimate elements
are open 
energy and information are constantly being imported and exported acoss system boundaries
have a history 
the history cannot be ignored, even a small change in circumstances can lead to large deviations in the future
can adapt 
in response to external or internal changes, the system can reorganize itself without breaking — self organizing
are not completely predictable 
when a system is adaptive, unexpected behaviours can emerge — prediction becomes expectation
are multi-scale and hierarchical 
system size and structure scale are over several orders of magnitude and distinct properties and functions are associated with different scales; dynamics can propagate through scales — avalanches, cascade effects
are disordered 
there is no compact and concise way to encode the whole information contained in the system
have multiple (meta) (stable) states 
small perturbations lead to recovery, larger ones can lead to radical changes of properties; dynamics do not average simply.

Key words

In addition to words or phrases used above, choose from those below (adding more if needed):

Metaphysical topics

Complexity
Emergence
Universality
Wholism (vs. Reductionism)

Generic technical topics

Attractors
Bifurcations/tipping points
Catastrophes
Chaos
Fractals
Nonlinearity
Self-organised criticality
Special functions (Wronsky's aleph, Fox's H, ...)
Statistics (non-Gaussian, Bayesian, Monte Carlo methods, ...)
Transforms (Laplace, Fourier, Wavelets, ...)
Turbulence
Variational principles (MaxEnt, MaxProb, MEP, ...)

Tools/software/languages

Maple
Mathematica
Matlab
NetLogo
Pajek
R

Application areas

Brain dynamics
Climate (modelling, mitigation, ...)
Finance
Geo/planetary science
Plasmas (astrophysical, solar, space, fusion)
Personal tools