Difference between revisions of "Topic:Complex systems"
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* describe the behaviours that result from the essential characteristics of complex systems | * describe the behaviours that result from the essential characteristics of complex systems | ||
| − | == Key | + | == Summary == |
| + | |||
| + | A '''complex system''' is a type of system that is composed of many interconnected elements that interact with each other. They: | ||
| + | |||
| + | * are highly nonlinear (unpredictable) and self-organizing | ||
| + | * possess an intricate level of organization and complexity | ||
| + | * can adapt and evolve according to their environment | ||
| + | |||
| + | By comparison: | ||
| + | |||
| + | * Ordered systems are characterised by structured and predictable behavior, characterized by linear relationships and modeled using mathematical equations | ||
| + | * Chaotic systems are characterised by highly unpredictable behavior and a lack of structure, and are usually modeled using nonlinear equations | ||
| + | * Stochastic systems are characterized by randomness and lack of predictability, and are usually modeled using probability theory | ||
| + | |||
| + | Complex systems spontaneously occur in many places including ecological, biological, and social systems. | ||
| + | |||
| + | == Key concepts == | ||
{{quote|text=The fact that complex systems are not random but also not completely ordered is of central importance ... it is a necessary condition for a complex system that it exhibit some kind of spontaneous order ... [They are] organized into a variety of levels of structure and properties that interact with the level above and below ... [exhibiting] causal regularities, and various kinds of symmetry, order and periodic behaviour. |sign=Ladyman, Lambert & Weisner|source=[https://realkm.com/go/what-is-a-complex-system/ What is a complex system?]}} | {{quote|text=The fact that complex systems are not random but also not completely ordered is of central importance ... it is a necessary condition for a complex system that it exhibit some kind of spontaneous order ... [They are] organized into a variety of levels of structure and properties that interact with the level above and below ... [exhibiting] causal regularities, and various kinds of symmetry, order and periodic behaviour. |sign=Ladyman, Lambert & Weisner|source=[https://realkm.com/go/what-is-a-complex-system/ What is a complex system?]}} | ||
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* [https://realkm.com/go/an-introduction-to-complex-systems-science-and-its-applications/ An Introduction to Complex Systems Science and its Applications] | * [https://realkm.com/go/an-introduction-to-complex-systems-science-and-its-applications/ An Introduction to Complex Systems Science and its Applications] | ||
| − | == Further | + | == Further reading == |
* [https://realkm.com/go/what-is-a-complex-system/ Ladyman, Lambert & Weisner: What is a Complex System?] | * [https://realkm.com/go/what-is-a-complex-system/ Ladyman, Lambert & Weisner: What is a Complex System?] | ||
* [https://realkm.com/go/universal-resilience-patterns-in-complex-networks/ Universal resilience patterns in complex networks] | * [https://realkm.com/go/universal-resilience-patterns-in-complex-networks/ Universal resilience patterns in complex networks] | ||
Revision as of 09:30, 23 December 2022
Context
This topic forms part of the systems and complexity area of study. People who are competent in the topic can apply their knowledge to describe the features of complex systems and how they are distinguishable from other forms of system such as ordered, chaotic, and stochastic systems.
Competencies
Expected competencies after study of this topic are:
- understand the difference between deterministic and nondeterministic systems
- define the characteristics of classes of deterministic and nondeterministic systems (ordered, chaotic, complex and stochastic)
- describe the behaviours that result from the essential characteristics of complex systems
Summary
A complex system is a type of system that is composed of many interconnected elements that interact with each other. They:
- are highly nonlinear (unpredictable) and self-organizing
- possess an intricate level of organization and complexity
- can adapt and evolve according to their environment
By comparison:
- Ordered systems are characterised by structured and predictable behavior, characterized by linear relationships and modeled using mathematical equations
- Chaotic systems are characterised by highly unpredictable behavior and a lack of structure, and are usually modeled using nonlinear equations
- Stochastic systems are characterized by randomness and lack of predictability, and are usually modeled using probability theory
Complex systems spontaneously occur in many places including ecological, biological, and social systems.
Key concepts
The fact that complex systems are not random but also not completely ordered is of central importance ... it is a necessary condition for a complex system that it exhibit some kind of spontaneous order ... [They are] organized into a variety of levels of structure and properties that interact with the level above and below ... [exhibiting] causal regularities, and various kinds of symmetry, order and periodic behaviour.—Ladyman, Lambert & Weisner, What is a complex system?
Primers
- Introduction to Complexity: What are Complex Systems? (Video)
- An Introduction to Complex Systems Science and its Applications
Further reading
- Ladyman, Lambert & Weisner: What is a Complex System?
- Universal resilience patterns in complex networks