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.
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
Maybe try to categorize these a bit.
Interesting idea about emergence and complex systems: Sloppy model |
Complex Networks and Energy Landscapes See Network theory.
ChaosBook.org videos also here YB channel
Willi Hans - The nonlinear workbook
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)
Researchers in complex systems or here actually
How do I explain to non-mathematical people what "non-linear and complex systems" mean?
Computational Methods for Nonlinear Systems