minimal entity page

iterative process

[iterative process|iterative process] is an iterative process that creates a list of numbers with a long-term behavior characterized by an 8-cycle.

Definition

iterative process is an iterative process that creates a list of numbers with a long-term behavior characterized by an 8-cycle.

Effects

iterative process The logistic map demonstrates how a deceptively simple function can produce an iterative process with complex behavior, depending on the value of r. An example shows that an initial guess can lead the resulting iterative process toward a finite value.

Examples

iterative process Iterative processes can converge to cycles with various periodicities, such as 2-cycles, 4-cycles (where the iterative process repeats a sequence of four values), 8-cycles, and so on.