Forms
When the quadratic polynomial has only one variable ( univariate ), one can distinguish its 4 main forms:
- The general form : where .
- The factored form used for logistic map
- which has an indifferent fixed point with multiplier at the origin
- The monic and centered form,
The monic and centered form has the following properties:
- It is the simplest form of a nonlinear function with one coefficient (parameter),
- It is an unicritical polynomial, i.e. it has one critical point,
- It is a centered polynomial (the sum of its critical points is zero),
- It can be postcritically finite, i.e. If the orbit of the critical point is finite. It is when critical point is periodic or preperiodic.
- It is a unimodal function,
- It is a rational function,
- It is an entire function.
Read more about this topic: Complex Quadratic Polynomial
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