Nonlinearity |
In nonlinear equations, the outputs are not proportional to their inputs. |
Nonlinearity (1) can lead to sudden massive changes of the system and (2) is sensitive to initial conditions. |
Attractor |
An attractor is a point toward which a variable, moving according to the dictates of a dynamic system, evolves over time. |
Points that get close enough to the attractor remain close even if slightly disturbed. |
Open to environment |
Living systems continuously interact with their environment, for example, exchanging material, energy, people, capital, and information. |
In open systems, nonlinear responses to the external environment can lead to sudden massive and stochastic changes. |
Self-organization |
Self-organization is a process whereby some form of global order or coordination arises out of the local interactions between the components of an initially disordered system. |
Self-organization relies on 4 basic principles: recursive feedback (positive and negative), a balance of exploitation and exploration, and multiple interactions. |
Emergence |
Emergence is the way in which complex systems and patterns arise out of a multiplicity of relatively simple interactions. |
Emergence (1) arises from intricate causal relations across different scales and feedback (interconnectivity) and (2) the emergent behavior or properties are not a property of any single such entity, nor can they easily be predicted or deduced from behavior in the lower-level entities, that is, they are irreducible. |
Pattern of interaction |
All parts in a system involve predictable, repetitive processes. |
Pattern of interaction can result from (1) different combinations of agents leading to the same outcome, or (2) the same combination of agents leading to different outcomes. |
Adaptation and evolution |
Adaptation is the process of change due to changes in the environment. |
Evolution is the persistence of a change into the future. Adaptation and evolution (1) occur in numerous diseases over many years, during which time the whole body system adapts to function in the altered environment; (2) change the whole system and are not restricted to a few clinically measurable factors; and (3) lead to a new homeostasis with new dynamic interactions. |
Coevolution |
Coevolution is the change of an object triggered by the change of a related object. |
Coevolution results in parallel development of a subsystem with new characteristics and dynamics. |