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The last painting is often of Elvis in a beige jumpsuit performing a particularly boring activity (e.g. taking a nap after doing a crossword puzzle, sitting on a park bench feeding birds). After Jimmy comments on just how boring the activity is, a Boring Elvis impersonator comes out and sings a song about the activity.
Looking at the entire chaotic domain, whether it is chaotic or windowed, the maximum and minimum values on the vertical axis of the orbital diagram (the upper and lower limits of the attractor) are limited to a certain range. As shown in equation (2-1), the maximum value of the logistic map is given by r/4, which is the upper limit of the ...
D&D co-creator Gary Gygax credited the inspiration for the alignment system to the fantasy stories of Michael Moorcock and Poul Anderson. [4] [5]The original version of D&D (1974) allowed players to choose among three alignments when creating a character: lawful, implying honor and respect for society's rules; chaotic, implying rebelliousness and individualism; and neutral, seeking a balance ...
Any chaotic attractor contains an infinite number of unstable, periodic orbits. Chaotic dynamics, then, consists of a motion where the system state moves in the neighborhood of one of these orbits for a while, then falls close to a different unstable, periodic orbit where it remains for a limited time and so forth.
Coexisting chaotic and non-chaotic attractors within the generalized Lorenz model. [38] [39] [40] There are 128 orbits in different colors, beginning with different initial conditions for dimensionless time between 0.625 and 5 and a heating parameter r = 680. Chaotic orbits recurrently return close to the saddle point at the origin.
According to these early views, and others such as those developed by William Thomson, if energy in the form of heat is added to a solid, so to make it into a liquid or a gas, a common depiction is that the ordering of the atoms and molecules becomes more random and chaotic with an increase in temperature:
In the third type, an attractor merging crisis, two or more chaotic attractors merge to form a single attractor as the critical parameter value is passed. Note that the reverse case (sudden appearance, shrinking or splitting of attractors) can also occur. The latter two crises are sometimes called explosive bifurcations. [5]
Synchronization of chaos is a phenomenon that may occur when two or more dissipative chaotic systems are coupled.. Because of the exponential divergence of the nearby trajectories of chaotic systems, having two chaotic systems evolving in synchrony might appear surprising.