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Chaos theory is an interdisciplinary area of scientific study and branch of mathematics. It focuses on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions. These were once thought to have completely random states of disorder and irregularities. [ 1]
In chaos theory, the butterfly effect is the sensitive dependence on initial conditions in which a small change in one state of a deterministic nonlinear system can result in large differences in a later state. The term is closely associated with the work of mathematician and meteorologist Edward Norton Lorenz.
Edward Norton Lorenz (May 23, 1917 – April 16, 2008) was an American mathematician and meteorologist who established the theoretical basis of weather and climate predictability, as well as the basis for computer-aided atmospheric physics and meteorology. [ 1][ 2] He is best known as the founder of modern chaos theory, a branch of mathematics ...
Lorenz system. A sample solution in the Lorenz attractor when ρ = 28, σ = 10, and β = 8 3 . 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.
These monographs include an idea of Poincaré, which later became the basis for mathematical "chaos theory" (see, in particular, the Poincaré recurrence theorem) and the general theory of dynamical systems. Poincaré authored important works on astronomy for the equilibrium figures of a gravitating rotating fluid.
This is a list of mathematical theories. Almgren–Pitts min-max theory; Approximation theory; ... Chaos theory; Character theory; Choquet theory; Class field theory;
Mathematical physics. Institutions. Rockefeller University. Doctoral advisor. Francis E. Low. Mitchell Jay Feigenbaum / ˈfaɪɡənˌbaʊm / (December 19, 1944 – June 30, 2019) was an American mathematical physicist whose pioneering studies in chaos theory led to the discovery of the Feigenbaum constants .
A branch of math called chaos theory looks at how small changes to a system can result in unpredictable behavior.. Chaos theory explains how complex systems work in multiple fields, including ...