ANUPhysicsSS2008LectureNotes
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Contents |
Discussion page for authors of the Summer School Proceedings volume
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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)
