Complex systems

cosmos 2nd October 2017 at 9:41pm
Complexity MMathPhys

A complex system is a high-dimensional systems where the variables are strongly interdependent.

See Complexity theory for more discussion on the definition of a complex system.

–>Map of complexity science

Complex Systems (Mathematics Course at Oxford) blog

https://en.wikipedia.org/wiki/Complex_system https://en.wikipedia.org/wiki/Complex_systems

Features of complex systems: Self-organization and emergence. Evolution. Adaptation. Homeostasis, autopesis. Crowd-dynamics, chaos, order and disorder..

Related: Soft matter physics. Non-equilibrium statistical physics

Models and examples: Boolean network, Automata, Cellular automata, Biology, Artificial chemistry, Fractals. Control theory and control systems, Nonlinear systems, Networks (in particular Dynamical systems on networks), Social system, Percolation, Self-organized criticality, Agent-based models, Strange loops

http://videos.syntience.com/index.html

Complex adaptive system

Maybe try to categorize these a bit.

Interesting idea about emergence and complex systems: Sloppy model

Complex Networks and Energy Landscapes See Network theory.

Diffusion-limited aggregation

Percolation

Netlogo models library


ChaosBook.org videos also here YB channel

Willi Hans - The nonlinear workbook

Synergetics

Chaos book

Complex Systems: A Survey

Methods and Techniques of Complex Systems Science: An Overview

Power-law Distributions in Empirical Data

Statistical physics of social dynamics

Part 1 Symbolic Dynamics and One-dimesional Cellular Automata: an Introduction Лекториум

http://www.complex-systems.com/

https://theory.org/complexity/

https://en.wikipedia.org/wiki/Homeostasis

https://www.youtube.com/user/StanfordComplexity/feed

Computation, Dynamics and the Phase-Transition

http://www.maths.qmul.ac.uk/research/applied

ABDUS SALAM MEMORIAL LECTURE SERIES

Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC)

Hans J. Herrmann

Researchers in complex systems or here actually

Double pendulum android app

How do I explain to non-mathematical people what "non-linear and complex systems" mean?

Computational Methods for Nonlinear Systems

http://sethna.lassp.cornell.edu/

http://cosnet.bifi.es/

p. grassberger

Petri net

ε-transducer

http://www.topdrim.eu/books/