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.
Features of complex systems
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
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. This has been referred to as the "Butterfly effect."
Complex systems are nested
Another key aspect of complex adaptive systems is that the components of the system - usually referred to as agents - are themselves complex adaptive systems. For example, an economy is made up of organisations, which are made up of people, who are systems of organs controlled by their nervous systems and endocrine systems, which are made up of cells - all of which, at each level in the hierarchy, are complex adaptive systems.
Boundaries are difficult to determine
It is usually difficult to determine the boundaries of a complex system. The decision is usually based on the observer's needs and prejudices rather than any intrinsic property of the system itself.
For instance, the boundary of an individual human being may appear easy to determine but a little more thought will show some of the ambiguities. For instance, are clothes inside or outside the boundary? If someone stares at you across a room or crowded train, especially in a lustful or aggressive way, have they invaded your boundary? Are your boundaries physical, or emotional? Emotional influence can impact physical existence. At what moment does food become a part of your body?
- Complexity Digest
- Complex Systems from Serendip
- Supplements to the Proceedings of the National Academy of Sciences (PNAS):
- Adaptive Agents, Intelligence, and Emergent Human Organization: Capturing Complexity through Agent-Based Modeling
- Self-organized complexity in the physical, biological, and social sciences
Santa Fe Institute (SFI)
- Search (Google) SFI: Complexity
- New England Complex Systems Institute
- Bandung Fe Institute Official Web
- Max-Planck Institute for Physics of Complex Systems