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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 ...
Throughout history, the belief that the entire universe is a deterministic system subject to the will of fate or destiny has been articulated in both Eastern and Western religions, philosophy, music, and literature.
Chaos theory describes how a deterministic system can exhibit perplexing behavior that is difficult to predict: as in the butterfly effect, minor variations between the starting conditions of two systems can result in major differences. Yet chaos theory is a wholly deterministic thesis; it merely demonstrates the potential for vastly different ...
Articles relating to determinism, the philosophical view that all events in the universe, including human decisions and actions, are causally inevitable. Deterministic theories throughout the history of philosophy have developed from diverse and sometimes overlapping motives and considerations.
The Lorenz system is a system of ordinary differential equations first studied by mathematician and meteorologist Edward Lorenz. It is notable for having chaotic solutions for certain parameter values and initial conditions. In particular, the Lorenz attractor is a set of chaotic solutions of the Lorenz
Deterministic system; Determinacy in set theory and game theory; Computer science. Deterministic algorithm; Deterministic automaton; Deterministic finite automaton;
The system is then defined by the equation H(x(t)) = y(t), where y(t) is some arbitrary function of time, and x(t) is the system state. Given y(t) and H, the system can be solved for x(t). The behavior of the resulting system subjected to a complex input can be described as a sum of responses to simpler inputs.