In mathematics, a **nonlinear system** is one that does not satisfy the superposition principle, or one whose output is not directly proportional to its input; a linear system fulfills these conditions. In other words, a nonlinear system is any problem where the variable(s) to be solved for cannot be written as a linear combination of independent components. A nonhomogeneous system, which is linear apart from the presence of a function of the independent variables, is nonlinear according to a strict definition, but such systems are usually studied alongside linear systems, because they can be transformed to a linear system of multiple variables.

Nonlinear problems are of interest to engineers, physicists and mathematicians because most physical systems are inherently nonlinear in nature. Nonlinear equations are difficult to solve and give rise to interesting phenomena such as chaos. Some aspects of the weather (although not the climate) are seen to be chaotic, where simple changes in one part of the system produce complex effects throughout. A nonlinear system is not random.

Read more about Nonlinear System: Definition, Nonlinear Algebraic Equations, Nonlinear Recurrence Relations, Nonlinear Differential Equations, Types of Nonlinear Behaviors, Examples of Nonlinear Equations, Software For Solving Nonlinear System

### Other articles related to "nonlinear system, nonlinear, system":

**Nonlinear System**

... FuncDesigner frameworks for searching either any or all solutions of

**nonlinear**algebraic equations

**system**A collection of non-linear models and demo applets (in Monash University's Virtual Lab ...

**Nonlinear System**

... In mathematics, a

**nonlinear system**is a

**system**which is not linear, i.e ... a

**system**which does not satisfy the superposition principle ... Less technically, a

**nonlinear system**is any problem where the variable(s) to be solved for cannot be written as a linear sum of independent components ...

### Famous quotes containing the word system:

“He could jazz up the map-reading class by having a full-size color photograph of Betty Grable in a bathing suit, with a co- ordinate grid *system* laid over it. The instructor could point to different parts of her and say, “Give me the co-ordinates.”... The Major could see every unit in the Army using his idea.... Hot dog!”

—Norman Mailer (b. 1923)