logistic map

Remember that in the logistic map all ultimately generate the same path.

This equation is the continuous version of the logistic map.

An example of a recurrence relation is the logistic map:

Contains an interactive computer simulation of the logistic map.

The logistic map can be used to explore function approximation, time series prediction, and control theory.

Radial basis function network This article illustrates the inverse problem for the logistic map.

For example, the tent map is topologically conjugate to the logistic map.

The relationship between the Mandelbrot set as defined by the iteration , and the logistic map is well known.

However, as a demographic model the logistic map has the pathological problem that some initial conditions and parameter values lead to negative population sizes.

Discrete chaotic systems, such as the logistic map, can exhibit strange attractors whatever their dimensionality.

Interactive Logistic map showing fixed points.

Interactive Logistic map with iteration and bifurcation diagrams in Java.

For systems such as the logistic map, the bifurcation diagram shows a range of parameter values for which apparently the only cycle has period 3.

The one-dimensional logistic map defined by is one of the simplest systems with density of periodic orbits.

As an example of how chaotic morphing works, lets take a generic chaotic system known as the Logistic map.

Examples of nonlinear recurrence relations are the logistic map and the relations that define the various Hofstadter sequences.

Logistic Map Simulation.

The basic properties of radial basis functions can be illustrated with a simple mathematical map, the logistic map, which maps the unit interval onto itself.

Melinda Green discovered 'by accident' that the Anti-Buddhabrot paradigm fully integrates the logistic map.

The logistic map is only a second-degree polynomial; the horseshoe map is piecewise linear.

The relative simplicity of the logistic map makes it an excellent point of entry into a consideration of the concept of chaos.

By applying the Kaneko 1983 model to the logistic map, several of the CML qualitative classes may be observed.

The logistic map is a polynomial mapping, often cited as an archetypal example of how chaotic behaviour can arise from very simple non-linear dynamical equations.

In the case of the logistic map, the quadratic difference equation (1) describing it may be thought of as a stretching-and-folding operation on the interval (0,1).

We can exploit the relationship of the logistic map to the dyadic transformation (also known as the bit-shift map) to find cycles of any length.