Search results
Results from the WOW.Com Content Network
The phase space is the horizontal complex plane; the vertical axis measures the frequency with which points in the complex plane are visited. The point in the complex plane directly below the peak frequency is the fixed point attractor. A fixed point of a function or transformation is a point that is mapped to itself by the function or ...
The location of the Great Attractor is shown following the long blue arrow at bottom right. Hubble Space Telescope image showing part of the Norma cluster, including ESO 137-002 The Great Attractor is a region of gravitational attraction in intergalactic space and the apparent central gravitational point of the Laniakea Supercluster of galaxies ...
The Shapley attractor is a massive cluster of galaxies located in Shapley Supercluster, most well known for its high density and gravitational pull. [1] Like the Great Attractor , it is obscured by the Milky Way's galactic plane , lying behind the Zone of Avoidance (ZOA), so that in visible light wavelengths, it is difficult to observe directly.
Rössler attractor reconstructed by Takens' theorem, using different delay lengths. Orbits around the attractor have a period between 5.2 and 6.2. In the study of dynamical systems, a delay embedding theorem gives the conditions under which a chaotic dynamical system can be reconstructed from a sequence of observations of the state of that system.
The Lorenz attractor is difficult to analyze, but the action of the differential equation on the attractor is described by a fairly simple geometric model. [24] Proving that this is indeed the case is the fourteenth problem on the list of Smale's problems. This problem was the first one to be resolved, by Warwick Tucker in 2002. [25]
Formally, this model belongs to the general class of state space models. The specifics of SSA is in the facts that parameter estimation is a problem of secondary importance in SSA and the data analysis procedures in SSA are nonlinear as they are based on the SVD of either trajectory or lag-covariance matrix.
The Hénon attractor is a fractal, smooth in one direction and a Cantor set in another. Numerical estimates yield a correlation dimension of 1.21 ± 0.01 or 1.25 ± 0.02 [2] (depending on the dimension of the embedding space) and a Box Counting dimension of 1.261 ± 0.003 [3] for the attractor of the classical map.
Starobinsky inflation gives a prediction for primordial observables, e.g., the spectral tilt and the tensor-scalar ratio : ,, [11] where is the number of e-foldings since the horizon crossing.