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The systems studied in chaos theory are deterministic. If the initial state were known exactly, then the future state of such a system could theoretically be predicted. However, in practice, knowledge about the future state is limited by the precision with which the initial state can be measured, and chaotic systems are characterized by a strong dependence on the initial condit
A deterministic system [1] is a conceptual model of the philosophical doctrine of determinism applied to a system for understanding everything that has and will occur in the system, based on the physical outcomes of causality. In a deterministic system, every action, or cause, produces a reaction, or effect, and every reaction, in turn, becomes ...
Determinism is the philosophical view that all events in the universe, including human decisions and actions, are causally inevitable. [1] Deterministic theories throughout the history of philosophy have developed from diverse and sometimes overlapping motives and considerations.
In other words, the deterministic nature of these systems does not make them predictable. [11] [12] This behavior is known as deterministic chaos, or simply chaos. The theory was summarized by Edward Lorenz as: [13] Chaos: When the present determines the future but the approximate present does not approximately determine the future.
Chaos theory is sometimes pointed out as a contradiction to Laplace's demon: it describes how a deterministic system can nonetheless exhibit behavior that is impossible to predict: as in the butterfly effect, minor variations between the starting conditions of two systems can result in major differences. [9]
This list of types of systems theory gives an overview of different types of systems theory, which are mentioned in scientific book titles or articles. [1] The following more than 40 types of systems theory are all explicitly named systems theory and represent a unique conceptual framework in a specific field of science .
Systems theory is the transdisciplinary [1] study of systems, i.e. cohesive groups of interrelated, interdependent components that can be natural or artificial.Every system has causal boundaries, is influenced by its context, defined by its structure, function and role, and expressed through its relations with other systems.
The nature of chaos theory suggests that the predictability of any system is limited because it is impossible to know all of the minutiae of a system at the present time. In principle, the deterministic systems that chaos theory attempts to analyze can be predicted, but uncertainty in a forecast increases exponentially with elapsed time. [2]