Complex system
Complex systems have a number of properties, some of which are listed below. It is also often used as a broad term addressing a research approach which includes ideas and techniques from chaos theory, artificial life, evolutionary computation and genetic algorithms. Systems thinking is another approach which attempts to study systems in a holistic way, to take account of the kinds of complexity found in complex systems.
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Features of complex systems
Emergence
What distinguishes a complex system from a merely complicated one is that some behaviors and patterns emerge in complex systems as a result of the patterns of relationship between the elements. Emergence is perhaps the key property of complex systems and a lot of work is being done to try to understand more about its nature and the conditions which will help it to occur.Relationships are short-range
Typically, the relationships between elements in a complex system are short-range, that is information is normally received from near neighbours. The richness of the connections means that communications will pass across the system but will probably be modified on the way.Relationships are non-linear
There are rarely simple cause and effect relationships between elements. A small stimulus may cause a large effect, or no effect at all.Relationships contain feedback loops
Both negative (damping) and positive (amplifying) feedback are key ingredients of complex systems. The effects of an agent's actions are fed back to the agent and this, in turn, affects the way the agent behaves in the future. This set of constantly adapting nonlinear relationships lies at the heart of what makes a complex system special.Complex systems are open
Complex systems are open systems - that is, energy and information are constantly being imported and exported across system boundaries. Because of this, complex systems are usually far from equilibrium: even though there is constant change there is also the appearance of stability.The parts cannot contain the whole
There is a sense in which elements in a complex system cannot "know" what is happening in the system as a whole. If they could, all the complexity would have to be present in that element. Yet since the complexity is created by the relationships between elements that is simply impossible. A corollary of this is that no element in the system could hope to control the system.Complex systems have a history
The history of a complex system is important and cannot be ignored. Even a small change in circumstances can lead to large deviations in the future.Complex systems are nested
Another key aspect of complex adaptive systems is that the components of the system - usually referred to as agents - as themselves complex adaptive systems. So an economy is made up of organisations which are made up of people which are made up of brains, which are made up of cells - all of which are complex adaptive systems.
