The logistic map is a discrete dynamical system defined by the quadratic difference equation: Equivalently it is a recurrence relation and a polynomial...

also called orbit diagram. An example is the bifurcation diagram of the logistic map: x n + 1 = r x n ( 1 − x n ) . {\displaystyle x_{n+1}=rx_{n}(1-x_{n})...

as defined by the iteration z 2 + c {\displaystyle z^{2}+c} , and the logistic map λ x ( 1 − x ) {\displaystyle \lambda x(1-x)} is well known. The two are...

hydrodynamics, they are one of the possible routes to turbulence. The logistic map is x n + 1 = r x n ( 1 − x n ) {\displaystyle x_{n+1}=rx_{n}(1-x_{n})}...

mathematical map, the logistic map, which maps the unit interval onto itself. It can be used to generate a convenient prototype data stream. The logistic map can...

logistic map alike ψ → G ψ [ 1 − tanh ⁡ ( ψ ) ] {\displaystyle \psi \rightarrow G\psi [1-\tanh(\psi )]} or complex map. For examples of complex maps the...

Look up logistic in Wiktionary, the free dictionary. Logistic may refer to: Logistic function, a sigmoid function used in many fields Logistic map, a recurrence...

case of the tent map is a non-linear transformation of both the bit shift map and the r = 4 case of the logistic map. The tent map with parameter μ =...

Logistic equation can refer to: Logistic function, a common S-shaped equation and curve with applications in a wide range of fields. Logistic map, a nonlinear...

Logistic model may refer to: Logistic function – a continuous sigmoidal curve Logistic map – a discrete version, which exhibits chaotic behavior Logistic...

the period-doubling bifurcations in the logistic map, but also showed it to hold for all one-dimensional maps with a single quadratic maximum. As a consequence...

as its only coefficient. An example of a recurrence relation is the logistic map defined by x n + 1 = r x n ( 1 − x n ) , {\displaystyle x_{n+1}=rx_{n}(1-x_{n})...

(discrete time) maps, the Poincaré map represents the function that maps the values of the system from one time step to the next. In the Logistic map x n + 1...

A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with the equation f ( x ) = L 1 + e − k ( x − x 0 ) {\displaystyle f(x)={\frac...

is also conjugate to the chaotic r = 4 case of the logistic map. The r = 4 case of the logistic map is z n + 1 = 4 z n ( 1 − z n ) {\displaystyle...

function maps the bell shaped Gaussian function similar to the logistic map. In the parameter real space x n {\displaystyle x_{n}} can be chaotic. The map is...

models. The simplest model for chaotic dynamics is the logistic map. Self-adjusting logistic map dynamics exhibit adaptation to the edge of chaos. Theoretical...

qualitative behaviour of one-dimensional iterated functions, such as the logistic map. The technique was introduced in the 1890s by E.-M. Lémeray. Using a...

medicine. Dynamical systems are a fundamental part of chaos theory, logistic map dynamics, bifurcation theory, the self-assembly and self-organization...

Ghent in 1825. He is best known for the logistic growth model. [citation needed] Verhulst developed the logistic function in a series of three papers between...

where a 2 ≠ 0 {\displaystyle a_{2}\neq 0} The factored form used for the logistic map: f r ( x ) = r x ( 1 − x ) {\displaystyle f_{r}(x)=rx(1-x)} f θ ( x )...

quadratic polynomial for the chaotic behavior in the general iteration. The logistic map x n + 1 = r x n ( 1 − x n ) , 0 ≤ x 0 < 1 {\displaystyle x_{n+1}=rx_{n}(1-x_{n})...

fractals) are bifurcational fractals derived from an extension of the logistic map in which the degree of the growth of the population, r, periodically...

these points is called a periodic point. This is illustrated by the logistic map, which depending on its specific parameter value can have an attractor...

interval to the next between every period-doubling bifurcation. The logistic map is a polynomial mapping, often cited as an archetypal example of how...

In statistics, a logistic model (or logit model) is a statistical model that models the log-odds of an event as a linear combination of one or more independent...

measured in this study is now known as the first Feigenbaum constant. The logistic map is a prominent example of the mappings that Feigenbaum studied in his...

carrying capacity of the environment. Unlike some other models like the Logistic map, the carrying capacity in the Ricker model is not a hard barrier that...

function that described the covers of the attractor of the logistic map In the logistic map, we have a function f r ( x ) = r x ( 1 − x ) {\displaystyle...

initial conditions is provided by a particular parametrization of the logistic map: x n + 1 = 4 x n ( 1 − x n ) , 0 ≤ x 0 ≤ 1 , {\displaystyle x_{n+1}=4x_{n}(1-x_{n})...