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This led to a renewal of physiology in the 1980s through the application of chaos theory, for example, in the study of pathological cardiac cycles. In 1987, Per Bak , Chao Tang and Kurt Wiesenfeld published a paper in Physical Review Letters [ 92 ] describing for the first time self-organized criticality (SOC), considered one of the mechanisms ...
Spontaneous order, also named self-organization in the hard sciences, is the spontaneous emergence of order out of seeming chaos. The term "self-organization" is more often used for physical changes and biological processes, while "spontaneous order" is typically used to describe the emergence of various kinds of social orders in human social networks from the behavior of a combination of self ...
A plot of Lorenz' strange attractor for values ρ=28, σ = 10, β = 8/3. The butterfly effect or sensitive dependence on initial conditions is the property of a dynamical system that, starting from any of various arbitrarily close alternative initial conditions on the attractor, the iterated points will become arbitrarily spread out from each other.
By creating their own novel model in order to calculate findings similar to what is already known about collective motion, the scientists hope they can encourage future work using this or other ...
Self-organization, also called spontaneous order in the social sciences, is a process where some form of overall order arises from local interactions between parts of an initially disordered system. The process can be spontaneous when sufficient energy is available, not needing control by any external agent.
This list presents differential equations that have received specific names, area by area. Mathematics ... Lorenz equations in chaos theory;
A creation myth (or creation story) is a cultural, religious or traditional myth which describes the earliest beginnings of the present world. Creation myths are the most common form of myth, usually developing first in oral traditions, and are found throughout human culture.
Maps may be parameterized by a discrete-time or a continuous-time parameter. Discrete maps usually take the form of iterated functions. Chaotic maps often occur in the study of dynamical systems. Chaotic maps and iterated functions often generate fractals.