Examples of the the word, attractor , in a Sentence Context
The word ( attractor ), is the 18611 most frequently used in English word vocabulary
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- System, and there will normally be one set of exponents associated with each, attractor , The choice of starting point may determine which attractor the system ends up
- To z, starting with P_CD (z) = z_0 z_0 is any of the p points that make the, attractor ,of the iterations of P_c (z) \to z starting with P_CD (z) c; z_0 satisfies
- A two-dimensional differential equation has very regular behavior. The Lorenz, attractor ,discussed above is generated by a system of three differential equations with a
- E. Smith (possibly the original appearance: 1929). The protagonist invents ", attractor ,beams" and" repeller beams ". Repellers can also be emitted isotopically as
- System exhibits chaotic behavior and displays what is today called a strange, attractor , The strange attractor in this case is a fractal of Hausdorff dimension between
- Behind sheets of Plexiglas, which is opaque in the far infrared. The Lorenz, attractor , named for Edward N. Lorenz, is an example of a non-linear dynamic system
- With a device which is now safely stored in the MIB's headquarters. The great, attractor ,is mentioned in" Reaper Man" by Terry Pratchett, as the ultimate death of the
- In the figure on the right give a picture of the general shape of the Lorenz, attractor , This attractor results from a simple three-dimensional model of the Lorenz
- System) evolves over time in a complex, non-repeating pattern. Overview The, attractor ,itself, and the equations from which it is derived, were introduced in 1963 by
- Of dependence, will tend to be distributed according to one of a small set of ", attractor ," distributions. When the variance of the i. i. d. variables is finite, the "
- From The Pennsylvania German Broadside: A History and Guide by Don Oder An, attractor ,is a set towards which a dynamical system evolves over time. That is, points
- Its velocityand the evolution is given by: f (t, ( x, v))= (x+TV, v ). \ An, attractor ,is a subset A of the phase space characterized by the following three
- Manifold, or even a complicated set with a fractal structure known as a strange, attractor , Describing the attractor s of chaotic dynamical systems has been one of the
- Point that is sufficiently close to A is attracted to A. The definition of an, attractor ,uses a metric on the phase space, but the resulting notion usually depends on only
- Does not have to satisfy any special constraints except for remaining on the, attractor , The trajectory may be periodic or chaotic or of any other type. If this
- With the state use the animal in their logos. It is seen as an important, attractor ,of tourists to Tasmania and has come to worldwide attention through the Mooney
- Lagrangian points, the triangular points (and) are stable equilibrium (cf., attractor ,), provided that the ratio of M1/M2 is greater than 24.96. This is the case for
- Of which are quadratic (and therefore nonlinear). Another well-known chaotic, attractor ,is generated by the Roller equations with seven terms on the right-hand side
- On the right give a picture of the general shape of the Lorenz attractor . This, attractor ,results from a simple three-dimensional model of the Lorenz weather system. The
- Long-run proportion of time spent by the system in the various regions of the, attractor , In the case of the logistic map with parameter r 4 and an initial state in (
- Behavior. In fact, certain well-known chaotic systems, such as the Lorenz, attractor ,and the Roller map, are conventionally described as a system of three
- Beginning of chaos theory when Edward Lorenz accidentally discovered a strange, attractor ,with his computer, computers have become an indispensable source of information
- Functions such as centromeres or telomeres, in addition to acting as an, attractor ,for other gene-expression or repression signals. Facultative hetero chromatin is
- X_1 is not a limit set. Because of the dissipation, the point x_0 is also an, attractor , If there were no dissipation, x_0 would not be an attractor . Mathematical
- To the attractor remain close even if slightly disturbed. Geometrically,an, attractor ,can be a point, a curve, a manifold, or even a complicated set with a fractal
- With each attractor . The choice of starting point may determine which, attractor ,the system ends up on, if there is more than one. Note: Hamiltonian systems do
- Section or attracted. Invariant sets and limit sets are similar to the, attractor ,concept. An invariant set is a set that evolves to itself under the dynamics.
- How a periodic orbit bifurcates into a torus and the torus into a strange, attractor , In another example, Feigenbaum period-doubling describes how a stable periodic
- X_0 is also an attractor . If there were no dissipation, x_0 would not be an, attractor , Mathematical definition Let f (t, • ) be a function which specifies the
- Compound isolated from the fungus is 1,3-diolein,which is in fact an insect, attractor , Several regional names appear to be linked with this connotation, meaning
- The achievements of chaos theory. A trajectory of the dynamical system in the, attractor ,does not have to satisfy any special constraints except for remaining on the
- Networks are capable of a wide variety of dynamical behaviors, including, attractor , dynamics,periodicity, and even chaos. A network of neurons that uses its
- Self-organized critical systems, where the critical point of the system is an, attractor , Formally, this sharing of dynamics is referred to as universality, and systems
- From a simple three-dimensional model of the Lorenz weather system. The Lorenz, attractor ,is perhaps one of the best-known chaotic system diagrams, probably because it
- Distributions. When the variance of the i. i. d. variables is finite, the ", attractor ," distribution is the normal distribution. In contrast, the sum of a number of
- Of the logistic map with parameter r 4 and an initial state in (0,1),the, attractor ,is also the interval (0,1) and the probability measure corresponds to the
- Dimensionality. However, the Poincaré-Bendixson theorem shows that a strange, attractor ,can only arise in a continuous dynamical system (specified by differential
- System evolves over time. That is, points that get close enough to the, attractor ,remain close even if slightly disturbed. Geometrically, an attractor can be a
- The orbiting body is subject only to the gravitational force of the central, attractor , When an engine thrust or propulsive force is present,Newton's laws still
- On the starting point x_0. (However, we will usually be interested in the, attractor ,(or attractor s) of a dynamical system, and there will normally be one set of
- Objects in the phase space of a dynamical system can be fractals (see, attractor ,). Objects in the parameter space for a family of systems may be fractal as
- Orbits that converge to this chaotic region. An easy way to visualize a chaotic, attractor ,is to start with a point in the basin of attraction of the attractor , and then
- Transitivity condition, this is likely to produce a picture of the entire final, attractor , and indeed both orbits shown in the figure on the right give a picture of the
- Behavior and displays what is today called a strange attractor . The strange, attractor ,in this case is a fractal of Hausdorff dimension between 2 and 3. Grassberger (
- The cases of most interest arise when the chaotic behavior takes place on an, attractor , since then a large set of initial conditions will lead to orbits that converge
- State in a chaotic system. If a (possibly chaotic) dynamical system has an, attractor , then there exists a probability measure that gives the long-run proportion of
- Beta+1. Rayleigh number Source code The source code to simulate the Lorenz, attractor ,in GNU Octave follows. % Lorenz Attractor equations
- A chaotic attractor is to start with a point in the basin of attraction of the, attractor , and then simply plot its subsequent orbit. Because of the topological
- An attractive force that is directly proportional to its distance from a fixed, attractor , Unlike Depletion orbits, however,these" harmonic orbits" have the center of
- Model for turbulence, and it was Rule who invented the concept of a strange, attractor ,in a dynamical system. ) Biology interested Grothendieck much more than physics
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