SelfOrganising Critical systems with similar timescalesMMath project by Adam Nellis

1
Self-Organising Critical systems with similar
timescales

• MMath project by Adam Nellis

2
What are SOCS?
3
Project aims

• To answer the questionHow do the power laws
  seen in SOCS running on dissimilar timescales
  change as the timescales are brought together
• By
• Building a parameterised simulator of SOCS
• Defining a power-law distributed measure
  applicable to similar timescales

4
What was done?

• Looked at different examples of SOCS
• Operating on dissimilar timescales
• Built an abstract model
• Incorporating bringing together of timescales
• Defined a measure
• Implemented the model in MATLAB
• Modelling the forest fire and sandpile
• Investigated the sandpile in detail

5
Measure changing with timescales
Video should go here (measure-changing.wmv)
6
Measure for (dis)similar timescales
Dissimilar timescales
Similar timescales
Log-log Plot
Linear Plot
7
Statistics of the measure
Mode (peak of the hump)
Mean and variance