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An animated cobweb diagram of the logistic map = (), showing chaotic behaviour for most values of >. A cobweb plot , known also as Lémeray Diagram or Verhulst diagram is a visual tool used in the dynamical systems field of mathematics to investigate the qualitative behaviour of one-dimensional iterated functions , such as the logistic map .
number of readily identifiable functions and modules within each function and; whether each identifiable function is a manageable entity or should be broken down into smaller components. A structure chart is also used to diagram associated elements that comprise a run stream or thread.
These diagrams are graphs of fixed points (or periodic points, as described below ) x as a function of a parameter a, with a on the horizontal axis and x on the vertical axis. To distinguish between stable and unstable fixed points, the former curves are sometimes drawn as solid lines and the latter as dotted lines .
A Nassi–Shneiderman diagram (NSD) in computer programming is a graphical design representation for structured programming. [1] This type of diagram was developed in 1972 by Isaac Nassi and Ben Shneiderman who were both graduate students at Stony Brook University. [2] These diagrams are also called structograms, [3] as they show a program's ...
Bubble diagrams, which result in the RPA when summed up. Solid lines stand for interacting or non-interacting Green's functions, dashed lines for two-particle interactions. The random phase approximation (RPA) is an approximation method in condensed matter physics and nuclear physics.
For example, by keeping b fixed at 0.3 the bifurcation diagram shows that for a = 1.25 the Hénon map has a stable periodic orbit as an attractor. Variation of 'b' showing the Bifurcation diagram. The boomerang shape is further drawn in bold at the top. Initial coordinates for each cross-section is (0, -0.2). Achieved using Python and Matplotlib.
Graph of tent map function Example of iterating the initial condition x 0 = 0.4 over the tent map with μ = 1.9. In mathematics, the tent map with parameter μ is the real-valued function f μ defined by ():= {,}, the name being due to the tent-like shape of the graph of f μ.
In pulsed radar and sonar signal processing, an ambiguity function is a two-dimensional function of propagation delay and Doppler frequency, (,). It represents the distortion of a returned pulse due to the receiver matched filter [ 1 ] (commonly, but not exclusively, used in pulse compression radar) of the return from a moving target.