MSC2020's 34 through 39 and 37 blocks: how a system changes over time according to a fixed rule, whether stated as a differential equation or studied through the long-run statistical behavior ergodic theory describes. Belongs here: dynamical systems, ergodic theory and differential equations. Does not belong here: control theory, grouped under Computation, Optimization and Control, where the question is steering a system rather than describing its own evolution.
Facts
Comparison
Era Of Emergence All Dynamical Systems and Differential Equations
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1. Dynamical system (Wikipedia)
Wikimedia FoundationHistory sectionQuote, History section
Many people regard French mathematician Henri Poincare as the founder of dynamical systems. Poincare published two now classical monographs, New Methods of Celestial Mechanics (1892-1899).
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