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Defining a complex system and evaluating its complexity typically requires an interdisciplinary approach, integrating information theory, signal processing techniques, principles of dynamical systems, algorithm length analysis, and network science. This overview presents the main characteristics of complex systems and outlines several metrics commonly used to quantify their complexity. Simple examples are provided to illustrate the key concepts. Speculative ideas regarding these topics are also discussed here.

11 June 2025

Time evolutions of 
  
    x
    (
    t
    )
  
 for the sine map. The initial condition of the red curves is 
  
    x
    (
    0
    )
    =
    0.8
  
. The initial condition of the blue curves is 
  
    x
    (
    0
    )
    =
    0.3
  
 for 
  
    q
    =
    0.2
  
, 
  
    q
    =
    0.6
  
, and 
  
    q
    =
    0.8
  
; and 
  
    x
    (
    0
    )
    =
    0.801
  
 for 
  
    q
    =
    1
  
.

On behalf of the MDPI Editorial Board and Staff, I am pleased to announce the launch of Complexities (ISSN: 3042-6448) [...]

27 February 2025

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Complexities - ISSN 3042-6448Creative Common CC BY license