Complex Systems

The content of this page my change over time, depending on how much time I can dedicate to build it.

A complex system is a system composed of interconnected parts that as a whole exhibit one or more properties (behavior among the possible properties) not obvious from the properties of the individual parts (C. Joslyn and L. Rocha, 2000)

In the last years, my investigation of complex systems can be summarized by the following (non-exhaustive, unordered, incomplete, nonlinear) random walking in the corresponding complex network of knowledges:

Complex systems theory

But if you want a more complicated idea in a more simplified shape, you can take a look at this figure.



Complex Networks

A very nice application of network theory to real-world can be found in this 1st TED talk and in this 2nd TED talk given by Nicholas Christakis.

Or you can take a look at the following video about the "Controllability of Complex Networks" (see the Barabasi Lab page dedicated to this project), which of course will capture your attention on complex networks:




Nonlinear Dynamics and Time Series Analysis


  1. Free Time Series - Free time series for linear and nonlinear time series analysis generated with TSUT
  2. Dynamical Models wiki - Examples of dynamical model simulated with RooTiSA.
  3. Complexity Animation - Nonlinearity and Complexity animations from BOC
  4. Software - Recommended software for Nonlinear Dynamics Analysis
  5. Links - Recommended links


Complexity Animations






Software


Netlib (a collection of mathematical software, papers, and databases) [Homepage]: Libraries:

Links