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Chaos theory (or chaology [1]) 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. [2]
Another everyday example of Plateau–Rayleigh instability occurs in urination, particularly standing male urination. [9] [10] The stream of urine experiences instability after about 15 cm (6 inches), breaking into droplets, which causes significant splash-back on impacting a surface. By contrast, if the stream contacts a surface while still in ...
[10] [11] The dynamics of mood, mood patterns for long times are commonly erratic, [12] labile [13] or instable, also known as euthymic. [14] Although the term of mood swing is unspecific, it may be used to describe a pattern where mood goes down from positive to negative valency immediately (without delay in baseline) at specific periods. [15]
Post-secondary students experience stress from a variety of sources in their daily life, including academics. [6] [7] In a 2017 American College Health Association report, 47.5% of post-secondary students claimed that they considered their academic stress to be 'traumatic or very difficult to handle.’ [9] Disturbed sleep patterns, social problems, and homesickness are all major factors that ...
Dynamical systems theory and chaos theory deal with the long-term qualitative behavior of dynamical systems.Here, the focus is not on finding precise solutions to the equations defining the dynamical system (which is often hopeless), but rather to answer questions like "Will the system settle down to a steady state in the long term, and if so, what are the possible steady states?", or "Does ...
Three examples of Turing patterns Six stable states from Turing equations, the last one forms Turing patterns. The Turing pattern is a concept introduced by English mathematician Alan Turing in a 1952 paper titled "The Chemical Basis of Morphogenesis" which describes how patterns in nature, such as stripes and spots, can arise naturally and autonomously from a homogeneous, uniform state.
The FDIC is an independent government agency charged with maintaining stability and public confidence in the U.S. financial system and providing insurance on consumer deposit accounts.
This figure represents the evolution of the Rayleigh–Taylor instability from small wavelength perturbations at the interface (a) which grow into the ubiquitous mushroom shaped spikes (fluid structures of heavy into light fluid) and bubbles (fluid structures of light into heavy fluid) (b) and these fluid structures interact due to bubble merging and competition (c) eventually developing into ...